Let f(x) = 0, C:C x² +1¹ 0, if x ≤ 0 if 0

Q: Two events A and B are such that P(A) = 0.5, P(B) = 0.3 and P(A|B) = 0.1. Then P(A|AUB) is

A: Solution-: Given: P(A) =0.5, P(B)=0.3, P(A/B)=0.1 Then we determine P(A/A∪B)=15 is true or false

Q: when a single die is thrown, it has 6 outcomes since it has 6 faces. what is the sample space ?

A: Given,A single die is thrown once.

Q: In a recent study on world happiness, participants were asked to evaluate their current lives on a…

A: Given,mean(μ)=4.6standard deviation(σ)=2.6

Q: Using empirical probability, suppose you tossed a fair coin 450 times and noted that landed on heads…

A: We know that Empirical probability  = ( No. of times an event occurs )/( Total number of times an…

Q: Twelve books are placed on a shelf in random order. What is the probability that their titles are in…

A: Given that, Twelve books are placed on a shelf in random order. We have to find the probability of…

Q: The annual salary for one particular occupation is normally distributed, with a mean of about…

A: Given: The sampling distribution of mean is =$126,000 Standard deviation = $18000 sample = 30

Q: Red, 3 Green and 2 Blue Balls. Find the probability that the 1st is a green or a red, followed by a…

A: HERE GIVEN  TOTAL NUMBER OF BALLS =7 No of RED BALLS=2 No of Blue Balls=2 No of Green Balls=3 AND We…

Q: The joint probability function for the random variables X and Y, P(X,Y), is given in matrix below.…

A: Given that  The joint Probability  function of X and Y is given as  X\Y 1 2 3 1 0.05 0.05 0.1…

Q: xample the joint density for the random variabes where X is the unit temperature change and is the…

A:

Q: 0. Two fair dice are thrown. Find the probability that the sum is greater than 7. 5/12 7/18 5/11 4/9

A:

Q: a) What is the probability X is exactly 5? b) What is the probability that X is no more than 10? c)…

A: Here  per Guidelines i have calculated 3 subparts plz repost remaining parts with note i need this…

Q: [Q3] A sample of 200 people are classified as below. If a person is picked at random from this…

A: Total no: of persons, n=250 M-male F-female no: of male, n(M)=128 no: of female, n(F)=122…

Q: A number cube with faces labeled 1 to 6 is rolled once. The number rolled will be recorded as the…

A: Given: A number cube with faces labeled 1 to 6 is rolled once. The number rolled will be recorded as…

Q: [Q1] From the letters {A, B, C, D, E, F, G}, how many: (a) 3-distinct-letters codes can be…

A: here given ,  letters {A,B,C , D,E,F, G} there are 7 letters given , from which without repetition 3…

Q: Giving a test to a group of students, the grades and gender are summarized below A B C Total Male 3…

A: Required probability is P(Female AND got a 'B')

Q: If random variable X has a binomial distribution with n=9 and P(success) =p= 0.4, find the standard…

A:

Q: Find the probability of 3 coins showing all heads when tossed simultaneously.

A:

Q: 1 mL of a bacteriophage suspension is mixed with 20 mL of a bacterial culture and 50% of the phages…

A: Answer:

Q: 1. What is the probability of not having a vowel in the alphabet given that it is a letter from the…

A: here ,  total available alphabets  =  26 (A,B,,,,,... ...Y,Z) vowels are A,E,I,O,U  Consonants are…

Q: Two fair dice are thrown. Find the probability that the sum is a perfect square. 1/6

A: ANS GIVEN  Two fair dice are thrown                    find probability  that the sum is a  perfect…

Q: 1 Explain in the space below the reason why do we need to use P(X>29.5) for the probability of at…

A: Continuity correction factor table: If   P(X=n) use   P(n – 0.5 < X < n + 0.5)If   P(X > n)…

Q: 5- If X and Y are uncorrelated, then they are not necessarily statistically independent. O True O…

A: Given a statement related to correlation, we have to write the statement is true or false.

Q: (a) Find the probability that a study participant has a height that is less than 67 inches. The…

A: Here given ,  mean  =    68.1 inches standard deviation  = 2 inches here take X=  height of study…

Q: 37% of working mothers do not have enough money to cover their health insurance deductibles. You…

A: Binomial probability pmf has used.

Q: For the statement below, write the claim as a mathematical statement. Use proportions to state the…

A: Given,claim: 71% of college students did not use studentloans to pay for college.

Q: Let X~U (0,0), then P(X > X²) is

A: Given that X~U0,θ fx=1θ-0=1θ, 0≤X≤θ

Q: Suppose that you have 7 green cards and 5 yellow cards. The cards are well shuffled. You randomly…

A: Given,no.of green cards=7no.of yellow cards=5Total no.of cards=12G1=the first card drawn is…

Q: According to CBS Money Watch, the average monthl phone bill is $100. Suppose monthly household cell…

A: It is given that the mean is 100 and the standard deviation is 11.35.

Q: Three newspapers A, B and C, are published in a city and a survey of readers indicates the…

A:

Q: Why can decreasing the probability of a type I error cause an increase in the probability of a type…

A:

Q: coupon payment is

A: Par Value of Bond is $1000 Coupon rate is 7.5% Yield is 5% Time to maturity is 5 years Bond is sold…

Q: The table shows a random sample of musicians and how they learned to play their instruments. Gender…

A: P(musician is a female AND had private instructor)

Q: et it be the probability density function. [ f(x2= n-x 2(1-2). ax Let it be Y = e x=0,1,2, So E(Y)…

A: Solution

Q: A binomial experiment is given. Decide whether you can use the normal distribution to approximate…

A: Givenp=0.86n=14

Q: Six girls and five boys wish to join a ski trip. Four of them will be selected at random. What is…

A: Answer:-   Given 6 girls and 5 boys wish to join a ski trip                Total are = 6 + 5  = 11…

Q: A bag contains 5 red balls and 8 blue balls. Each time a ball is selected, its colour is noted, and…

A: Given: A bag contains 5 red balls ad 8 blue balls. Each time a ball is selected, its color is noted,…

Q: items respectively how many different dinner combinations are possible?

A: here given , 5: At a Chinese restaurant, dinner for 8 people consists of 3 items from column A, 4…

Q: The state test scores for 12 randomly selected high school seniors are shown on the right. Complete…

A: Given data is1420,700,724,622,1227,727,748,1445,980,833,540,943sample size(n)=12

Q: A binomial experiment is given. Decide whether you can use the normal distribution to approximate…

A: Given,n=40p=0.46q=1-0.46=0.54

Q: Let X and Y have a joint pdf given by f (x, y) = {3³x₁ (3x, 0, 0 ≤ y ≤x≤1 elsewhere. 1. Find the…

A: Let X and Y be two continuous random variables defined over the sample space S. Then the continuous…

Q: Find the margin of error for the given values of c, σ, and n. c=0.95, o = 2.2, n=81 Click the icon…

A: Given,c=0.95 , σ=2.2 , n=81Zc=Z0.95=1.96        (from Z-table)

Q: 7- For binomial distribution variance is less than mean. O True O False

A:

Q: Use the probability distribution t complete parts (a) and (b) below. The number of defects per 1000…

A:

Q: (c) P(4 8)

A: HERE given ,  probability density function of x  f(x) =  2/x3  , x>1

Q: Use a table of cumulative areas under the normal curve to find the z-score that corresponds to the…

A: To find : The cumulative area corrosponds to the z score of 0.05.

Q: Which of the following is an example of dependent events? a) rolling a die and flipping a coin Ob)…

A: Dependent events are those events in which the occurrence of one event affects the occurrence of…

Q: Identify the sample space of the probability experiment and determine the number of outcomes in the…

A: Given data isRandomly choosing a number from the multiples of 5 between21 and 49

Q: ity that the What is the total number of possible identification numbers? (Simplify your answer) e…

A:

Q: There are 3 arrangements of the word DAD, namely DAD, ADD, and DDA. How many arrangements are there…

A:

Q: The complex exponential Fourier coefficients for the periodic function :x(t)=t, 0<t<2 is -1/(j3.14n)…

A: