A brother and a sister appear for an interview against two vacant posts in an office. The probability of the brother's selection is 1/5 and that of the sister's selection is 1/3. What is the probability that only one of them is selected?

Q: A bus comes by every 14 minutes. The times from when a person arives at the busstop until the bus…

A: A bus comes by every 14 minutes. The times from when a person arrives at the bus stop until the bus…

Q: What is the probability that the random 3 digit number would be even?

A: 3 digit number  P(the number is even) = ?

Q: Two ordinary dice are rolled. Find the probability that at least one of them turns up a 6.

A: given data, two ordinary dice are rolledwe have to find out that at least one of them up to a 6

Q: In a simultaneous throw of two dice, what is the probability of getting a total of 7 ?

A: From the provided information, Two dice are thrown simultaneously. Total outcomes = 36

Q: The probability distribution function of the maximum annual wind speed v is given by: 101 with y=9.0…

A: Given the probability distribution function of the maximum annual wind speed v is FVv=exp-vVc-γ with…

Q: During one stage in the manufacture of integrated circuit chips, a coating must be applied. If 70%…

A: Givenp=0.70sample size(n)=15Let "x" be the no.of chips will have thick enough…

Q: Is the sample mean, calculated from a random sample, an unbiased estimator of the population mean?…

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Q: Telephone interviews brought 258 responses from among 300 households called. While face-to-face…

A: Null and alternative hypotheses: Null hypothesis: Null hypothesis is a statement which is tested for…

Q: In a large population, 65% of the people have been vaccinated. If 5 people are randomly selected,…

A: Given data p=65% n=5

Q: en the current Center of Disease Analytics statistics, the probability of having the flu in our area…

A: event A= having flup(having the flu in our area)=0.10p(A)=0.10P(A')=1-0.10=0.90event B=report…

Q: A total sample space is the set (1, 2, 3, 4, 5, 6, 7, 8, 9, 10). If A is (1, 2, 4, 5, 8, 9) and B is…

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Q: A corporate Web site contains errors on 100 of 750 pages. If 50 pages are sampled randomly without…

A:

Q: X, is assumed to be normally distributed with expected value μ = 2.4 kg and standard deviation σ =…

A:

Q: The probability of occurance of two two events A and B are 1/4 and 1/2 respectively. The probability…

A:

Q: If the sample size increases then standard error decreases. O True O False

A: To find: If the sample size increases then standard error decreases. True or false

Q: In 100 tosses of a fair of coin, the expected or mean number of heads is

A: given data  n = 100 tosses fair coin so, P(head) = p  = 1/2 = 0.5 x = no. of heads tossed E(x) = ?

Q: 16.) In a small preliminary drug trial, 5 people are given version A of the medication, 5 people are…

A: Given data: 5= people are given version A of the medication. 5 = people are given version B, and 5…

Q: A worn machine is known to produce 10% defective components. In a run of 3 components, find the…

A: Givenp=0.10n=3

Q: There are 20 chips in a bag. 10 are blue, 5 are red, 4 are green, and 1 is gold. If you pick the…

A: Solution: Given information: Total chips = 20 Blue =10 Red =5 Green = 4 and Gold = 1

Q: Note: In this problem set, the notation C(n, k) is used for the combination "n choose k." Alternate…

A: As we are well aware that when order matters then permutations used while when order does not matter…

Q: /11% of a quantity is equal to what fraction of the​ quantity?

A: Given that Quantity = 311%   Percentage = 100   Fraction = 311100 Fraction = 311 x 100 = 31100

Q: for （a）, I think it should be 3/5

A: Given that, McDonald's Happy Meals are child-sized burger meals that come with a toy. Assume that…

Q: Question 12 In a certain communications network the probability of an error in a single bit is…

A: Given that, In the communication network the probability of an error in a single bit is 5×10-3. Need…

Q: A random sample of 10 secretaries was asked to type a certain memorandum using both computers and…

A: Given info: A test of hypothesis will be conducted to determine if there is enough evidence to…

Q: Question content area top Part 1 A New York Times article reported that a survey conducted in 2014…

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Q: Assume that a randomly selected subject is given a bone density test. Those test scores are normally…

A: Followings are the explanation of the question Let x be the normal variables follows the normal…

Q: Exercise 6. Suppose a random variable has support: {0, 1, 2,4} and its pmf is: X 0 1 2 4 f(x) 3/7…

A: Let X be a random variable with probability function (probability mass function or probability…

Q: A movie site investigates the types of movie their customers buy, they record the cus- tomer's age…

A:

Q: 6.15. The random vector (X, Y) is said to be uniformly distributed over a region R in the plane if,…

A:

Q: I forgot the last digit of a 7-digit telephone number. If 1 randomly dial the final 3 digits after…

A:

Q: A company produces batteries whose lifetimes are normally distributed with a mean life of 100 hours.…

A: This is a example of Normal distribution.  Given that mean of the distribution is 100. Standard…

Q: Example An urn contains 6 red marbles and 4 black marbles. Two marbles are drawn without replacement…

A: We have given that Number of Red marbles = 6 Number of black marbles = 4 Total number of marbles = 6…

Q: The graph illustrates a normal distribution for the prices paid for a particular model of HD televi…

A:

Q: For two events, A and B, P[A] is; P[B] is and P[AB] is Determine the values of: P[AB]; P[AUB];…

A: It is given that P(A) = 1/2, P(B) = 1/4, P(A ∩ B) = 1/8

Q: Calculate a 90% lower confidence bound for the population mean using the following sample…

A: Given data, CI=0.90α=1-0.90=0.10x=118.7 s= 136.0  n=37df=n-1=37-1=36

Q: If one student is selected at random, find the probability that   d) the student is 7 - 12 years…

A: It is given that Total = 315 Number of students prefers taking ballet, n(ballet) = 100 Number of…

Q: You toss a coin AND roll a die. What is the probability of getting a tail and a 4 on the die?

A: Probability is a chance of getting a possible outcome of any random event.

Q: Mr. Perez can get $5,000 with a probability of 0.4 or lose $2,000 with a probability of 0.6, if he…

A: Let X be the profit. Given that P(X=5000)=0.4 P(X=-2000)=0.6. The probability distribution is, X…

Q: A con to rosbed. If the result is a head, of is to ssed two morte the mean number times, othemise it…

A:

Q: According to a survey, the probability that a randomly selected worker primarily drives a bicycle to…

A: Let B=selected worker primarily drives a bicycle to work.P=selected worker primarily drives  a…

Q: A movie site investigates the types of movie their customers buy, they record the cus- tomer's age…

A:

Q: Twenty-seven percent of all light emitting diode (LED) displays are manufactured by Samsung. What is…

A: Given that, p= 0.27,.   n= 5 By using the Binomial probability distribution

Q: From the graph given above, the mean will be as such: 1908.42/30= 63.6 Sd 18.8 = Using Chebyshev's…

A: Given information: Mean = 63.6 S.D = 18.8

Q: The histogram to the right shows the number of books read by 23 people in a book club over a 3-month…

A: given data  no. of books no. of people(f) midpoint(x) fx 0-2 8 1 8 3-5 7 4 28 6-8 6 7 42…

Q: pose that the distribution of the lifetime of a car battery produced by a certain car company is…

A: Given Mean=1000 Standard deviation=100

Q: 2. Suppose that earthquakes occur in a certain region of California, in accordance with a Poisson…

A: Given that, Earthquakes occur in a certain region of California, in accordance with a Poisson…

Q: Find the probability of getting 8 heads in a row in 8 tosses of a fair coin.

A: The random variable of heads. Here, X follows binomial with n= 8 and p= 0.5.

Q: A copper wiring is being tested for its strength (MPa) with N(μ. O=0.42). Multiple samples have…

A: A copper wiring is being tested for its strength (MPa) with N(μ,σ=0.42).Multiple samples have…

Q: A room contains 3 brown, 5 black and 4 white chairs. Two chairs are picked and are put in the lawn.…

A: given data  3 brown chairs 5 black chairs 4 white chairs _________________ 12 total chairs

Q: Let K and L be events on the same sample space, with P (K) = 0.8 and P (B) = 0.6. Are these two…

A: