Answered: For what value of c is the function if…

Math

Calculus

For what value of c is the function if x > 1 f(x): (x) = {C/x9 otherwise a probability density function? C =

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.CR: Chapter 13 Review

Problem 16CR

See similar textbooks

Related questions

Q: Find the cumulative density function for the given probability density function. k(x) = 1.9 e -1.9X,…

A: Given: k(x)=1.9e-1.9x, for 0≤x≤∞ Cumulative density function will be Kx=∫0xk(t)dt

Q: Suppose that the joint probability density function of X and Y is fxy(x,y) = 300.125(x² – y²) e-7*,…

Q: Let X be a continuous random variable with a probability density function (x) = {(6 – 3e)x² + e* 0…

A: For x≤0F(x)=∫-∞xf(x)dx=∫-∞x0dx=0For…

Q: Given the probability density function as below: Shx2 (-1sxs 1) = {* f(x) otherwise Calculate h.

Q: e) What is the cumulative density function of X?

A: Solution-: Given: a=5, b=50 Let, X- be the waiting time for the light to turn green in seconds…

Q: 4) Suppose X follows Exponential(2), and Y follows Exponential(4). X,Y are independent. (If Z…

A: The answer to the above question is as follows : X~exp(2)f(x)=2e-2x…

Q: Find the value of k such that f(x) = kek is a probability density function on the interval [0, 1].…

Q: The exponential probability density function is f(y, 2)= he- for y, 120 Show that the exponential…

Q: Show that the distribution function for which the characteristic function is eled has the density…

Q: If the probability density function of X is : f(x) = e-x (1+e*)2 en what is the probability density…

A: It is an important part of statistics. It is widely used.

Q: Let 0 < x < 1 otherwise 1 f (x) = { be density function of the random variable "X" , then find…

A: In question, Given that X has density function f(x). Then we'll find E(ex). The solution is below,

Q: if x 2 1, Let {x2 0, if x < 1. Show that f is a probability density function and that the…

A: Topic:- probability density function Note:- as per our guideline if more than one question uploaded…

Q: Let X and Y has joint probability density function AX, Y) = 0<x<2, 0<y<2. 16 Find E( X Y ).

A: Solution: From the given information, the joint probability density function of X and Y is

Q: Find a value of k that will make f a probability density function on the indicated interval. ƒ(x) =…

Q: If f(x) = kx, determine the value of k that makes f(x) a probability density function on 0<xs4.

A: Given, fx=kx2To find : Determine tha value of k that makes fx a probability density…

Q: The probability density function of the random variable X is given by: Sce-2x 0 f(x)= = for x > 0…

Q: What should be the value of k for f(x) to be able to be a probability density function? f(x)=(2kx)/6…

Q: Find a value of k that will make f a probability density functionon the indicated interval.ƒ(x) =…

A: From the definition: The function f is a probability density function of a random variable x in the…

Q: Show that if the exponentially decreasing function if x 0 f(x) = LAe is a probability density…

A: Given: fx=0 ; if x<0Ae-cx ; if x≥0 For a probability density function f(x).…

Q: A certain radioactive mass emits alpha particles from time to time. The time betwee emissions, in…

A: Solution

Q: Let f(x)=k(4x -x²) if 03. (a) For what value of k is f(x) a probability density function? (b) For…

A: Given that Probability density functions of X f(x)=k(4x-x2) , 0<x<3 f(x)=0 , x<0 ,…

Q: (4x³ : - Suppose X has probability density function Jx(x)={ 0<x<1. : otherwise

Q: et the density function of a random variable Xt fx(x) = Ox®-1, 0sxs1 0<x<1 ompute the sufficient…

A: The pdf of random variable X is given: fX(x) = θ xθ-1, 0≤x≤1

Q: Find a value of k that will make f a probability density function on the indicated interval. ƒ(x) =…

A: Find a value of k that will make f a probability density function on the indicated interval. ƒ(x) =…

Q: Find a value of k that will make f a probability density function on the indicated interval.ƒ(x) =…

A: The probability density function on the indicated interval is given by : fx=kx ; 1, 5 As we know…

Q: Is the probability density function a valid PDF? * if x 1 F(x) = x2 +=x3/2 %3D ON/30

A: the probability density function i.e., pdf of a random variable X is denoted by f(x) and the…

Q: A continuous variable Y has a probability density function given by p(y)=Ay^3 for 0≤y≤3 What is…

A: Answer -A continuous variable Y has a probability density function given by p(y)=Ay^3 for 0≤y≤3…

Q: The distribution function for a random variable X is 2x x > 0 x < 0 1- F (x) which of the following…

A: We know that the distribution function of the random variable X is given byF(x)=∫-∞∞f(x)dxwhere f(x)…

Q: The probability density function of X is f(x) = for 0 <= x < 10, then 10 10 P(X +2 7) is:

A: Since , the probability density function of X is given by , Our aim is to find the

Q: Show that the distribution for which the characteristic function is e has the density function f(x)…

Q: 2- If the probability density function of X is : f(x) : -00 <x < ∞ (1+e-*)2 1 then what is the…

A: The distribution function of y is given by…

Q: 1. The diameter of a particle of contamination (in micrometers) is modeled with the probability…

Q: The life (in years) of a laptop battery has a probability density function defined by…

Q: 2. Let X be a continuous random variable with density function f(x)= for 0≤x≤2 0, otherwise Find…

Q: Find a value of k that will make f a probability density function on the indicated interval.ƒ(x) =…

A: Given probability density function is: ƒ(x) = kx2 ; Interval ; [-1, 2]

Q: For what value of c is the function {3 [c/x5 if x 2 1 f(x) otherwise a probability density function?

A: Obtain the value of C. The value of C is obtained as follows; Probability Density function:

Q: 4. By the end of 2021, the percentage, X, of the population (expressed in decimals) that will be…

A: Given: The probability density function, f(x)=kx , 0<x<1 0 , elsewhere

Q: Verify that f(x) is a density function and find also the mean of X.

Q: Let X be a random variable with probability density function a+ bx², 0<x<1 f(x) = | 0, otherwise If…

A: We have given that, Let X be a random variable with probability density function…

Q: Suppose that the unknown X is ≥ 2 and has the probability density function fX(x)=Ce^−x,x ≥ 2.What…

Q: Find a value of k that will make f a probability density function on the indicated interval.ƒ(x) =…

A: Given: ƒ(x) = kx3; [2, 4] A probability density function equals 1 for sum of all range of values.

Q: Determine the value of e that makes the function f(x, y) = cxy for 0 < x < 4 and 0 < y < 4 satisfies…

A: Solution

Q: Q3 If the joint probability density function of X and Y is given by 0 < x < ∞, 0 < y< o∞ f(x, y) =…

A: Ans . Here for calculation of E [ X/Y=y ] , we first calculate marginal distribution of Y then…

Q: Given X be the life time of a bulb having a probability density function f(x) =-e i for x>0 and 0…

A: Let X be a continuous random variable with the probability density function f(x). The mean of X is…

Q: If X has the probability density function given by (Ke-3x; x > 0 fx(x) = 0; e.w. What is the value…

A: Total probability is always 1.So,…

Q: The life (in months) of a certain computer component has a probability density function defined by…

A: The life of a certain computer component has a probability density function defined by f(x)=13e-x/3…

Q: A continuous variable X has a probability density function given by p(x)=Ax^2 for 0≤x≤4, and p(x)=0…

A: Given that, A continuous variable X has a probability density function given by p(x)=Ax^2 for 0≤x≤4,…

Q: Let f(x) = kx2(5 – x) if 0 5. (a) For what value of k is fa probability density function? k = (b)…

A: Solution is given below:

Q: Suppose that X takes values between 0 and 1 and has probability density function x2 (2x +). If Y…

Concept explainers

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!

Question

For what value of c is the function
if x > 1
f(x):
(x) = {C/x9
otherwise
a probability density function?
C =

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Continuous Probability Distribution$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
Which statements below are true for a probability distribution function (pdf), f(x)? The total area under f(x) is equal to 1. f(x) is non-decreasing f(x) is a probability f(x) is non-negative x is non-negative
Let 3x2, 0
Let X = b(16,- find E(4- 3x) and distribution function.
The probability density function of X, the lifetime of a certain type of device (measured in months), is given by Find the following: P(X > 34) = The cumulative distribution function of X: F(x) = {8 if x 25 if x 25 if x 25 f(x) = 25 if x 25 x2 The probability that at least one out of 6 devices of this type will function for at least 34 months:
Consider the following constant function: f(x) = 3/4 If this function represents a probability density function, which of the following can be a set of realized values? A. 2/3 ≤ x ≤ 2 B. 1/4 ≤ x ≤ 1 C. 3 ≤ x ≤ 4 D. 1/2 ≤ x ≤ 3/2
The probability density function of X, the lifetime of a certain type of electronic device (measured in hours), is given by 10 f(x) ={x² x> 10 xS 10 What is the probability that of 6 such types of devices, at least 3 will function for at most 15 hours?
For what value of c is the function f(x) = {c/x³ if x ≥ 1 {gx3 otherwise a probability density function?
Consider the function: f(x)= −1 − x^2 Which of the following is true? A. This function is a pdf only for some values of random variable B. This function cannot be a pdf for any set of values of random variable C. None of these D. This function is a pdf for any set of values of random variable.
A gasoline station gets its supply once a week. Suppose the PDF of X = demand in thousands of gallons for gasoline is: fx(x) = 5(1 – x)*I(0.1)(x) a. What is the probability that the demand for gasoline in a given week is more than 500 gallons? b. How much gasoline must the station get from its supplier in order for the probability that its supply will be exhausted in a given week shall be 0.01?
The random variables X and Y have a joint probability density function given by f(x, y) = way, 0 < x < 3 and 1 < y < x, and 0 otherwise.
Please answer all part : Let rt be a log return. Suppose that r0, r1, . . . are i.i.d. N(0, 0.01^2). (a) What is the distribution of rt(8) = rt + rt−1 + rt−2 +...+ rt−7? (b) What is the covariance between r7(3) and r9(3)? (c) What is the conditional distribution r17(3) given that r16 =0.004 (d) What is the probability that the gross return over the first 10 times periods is at least 1.05?