Which of the following approximation is good if X is a binomial random variable ? п%3D50, р%3D0.02 попe n= 50, p=0.03 n= 50, p=0.2

Q: The owners manual of your new car states that each front tire should be filled to a pressure of…

A:

Q: uppose that Xand Yare random variables such that Var(a) = 9, Var(Y - 4, and the correlation is -1/6.…

A: It is given that Var(X) =9, V(Y) =5, correlation is -1/6.

Q: Which of the following variables have a binomial distribution? (I) Randomly select three balls from…

A: Here, X =number of red balls selected. There are two possible outcomes in this case. That is,…

Q: The time X (minutes) for a lab assistant to prepare the equipment for a certain experiment is…

A: Given data: The lowest limit of time to prepare the equipment is p=20 minutes. The highest limit of…

Q: According to a recent poll, half of all pet owners would get their next dog or cat from a shelter.…

A: Note- Since parts a, b, and c are correctly answered so I am giving a solution for part (D) only.

Q: If continuous random variable X is normally distributed with µ = 256.43 and σ = 27.11, what is…

A:

Q: Which value for X will result in the greatest relative frequency give discrete random variable…

A: P.d.f of binomial distribution is given by, p(x)= nCx px qn-x , q=1-p X~B(4, 1/10)  p(x)= 4Cx…

Q: A binomial experiment has 6 trials in whichp 0.85. What is the probability of getting at least 4…

A:

Q: According to a recent poll, half of all pet owners would get their next dog or cat from a shelter.…

A:

Q: Q14. For the hypothesis test HO: µ =5 against H1: u>5 with unknown variance and n=15, approximate…

A: It is given that the H0: μ =5 H1: μ >5 The sample size is 15 and variance is unknown, it means…

Q: An urn contains 10 balls, of which u are black and 10 – u are white. Balls are drawn at random, one…

A: The urn contains u black and 10-u white balls, total 10 balls. N balls are drawn from the urn and…

Q: For a binomial random variable (x) with p=.30 and n=10; what is P(x≥5)?

A: Given datap = 0.30n = 10P(X ≥ 5 ) is given byP(X ≥ 5 ) = 1- P(X < 5) = 1- P(X ≤ 4)Applying…

Q: On any given morning, Joe eats 0, 1, or 2 eggs, with probabilities 0.2, 0.5, and 0.3, respectively,…

A:

Q: Suppose that is a binomial random variable with n = 3, p=.22. what is the probability that X will…

A:

Q: An extreme Type Il random variable X has parameters u = 6.9 andk= 4.9. What is the probability that…

A: Given that a random variable X follows an extreme Type II distribution with parameters u=6.9 and…

Q: What is the probability that 20​,21​,22​,23​, or 24 people in the sample are in favor of retaining…

A: Given information P=0.65 n=31 q=1-0.65     = 0.35 Mean = np= 31*0.65 = 20.15 Std =√npq =…

Q: Find the value of K and the probabilities that a random variable will take on a yalue i) þetween •1…

A:

Q: Let X represent the number of heads that can come up when tossing a coin in two cases: twice and…

A: Solution-: We find sample PMF when tossing a coin in two cases: twice and thrice times

Q: Find the probability that two random samples, each consisting of 200 voters, indicated a greater…

A: The election return showed that a certain candidate received 65% of the votes.  n1 = 200 n2  =200…

Q: 2003, the average combined SAT score (math and verbal) for college-bound students in the United…

A: Here's, p = 0.45, 45%is probability of success by using binomial distribution. And number of…

Q: For a standard normal random variable Z, P(-0.86<Z<-0.24) =?

A:

Q: The claim that the variance of a normal populationis σ2 = 25 is to be rejected if the variance of a…

A: Sample size is 16. Population variance is 25.

Q: Suppose that x is a binomial random variable with n = 5, p = 0.45, and q = .55.   (b) For each…

A: Construct a probability distribution table for each value of x, using the binomial experiment. The…

Q: Let X be a binomial random variable with parameters n = 20 and p ( p is intentionally not given in…

A: From the provided information, Sample size (n) = 20 Since the value of p is not provided therefore,…

Q: find the mean of the random variable X (ii) If the probability that an individual will suffer a bad…

A: Solution:

Q: Suppose that X is a binomial random variable with n=3 and p=0.22. What is the mean of the random…

A: It is given that X is a binomial random variable with probability of success , p=0.22 and number of…

Q: If X is a binomial random variable with n = 15 and p = 0.3, we can use the normal approximation? О…

A:

Q: Suppose that a random variable X has the uniform distribution on the integer 10...20. Whats the…

A:

Q: Let  χ2 = Z12 + Z22 + … Zdf2 is chi-square distribution random variable, where df = 54. What is the…

A: It is given that, χ2 = Z21 + Z22  + … Z2df  is chi-square distribution random variable, where df =…

Q: If X is a normal random variable with μ = 12 and σ = 2.4. Standardize P ( − 10 < X < 13 ).

A: The given probability can be standardized as follows:…

Q: About 90% of Americans over 25 years of age have finished high school. For a randomly selected…

A: The normal approximation to the binomial distribution states that; If,…

Q: Determine the mean and the ontinuous) random variables with the following moment-generatir M(t) = (1…

A: The moment generating function is M(t)=(1-4t)-2

Q: (1 point) If X is a binomial random variable, compute the mean, the standard deviation, and the…

A:

Q: .If a random variable X assumes the values 0 and 1 with

A: From the given information,

Q: What is the Variance of a negative binomial random variable with parameters p= 0.35 and r=5? Select…

A:

Q: Let y be a binomial random variable with n = 8 and prob of success in any one trial = 0.40. Find…

A: The binomial probability distribution is, PY=y=nypy1-pn-y In the formula, n denotes the number of…

Q: Assuming that X is a binomial random variable with n=20 and p=0.30, what is Pr(X=6)? Round your…

A: From the provided information, Number of trials (n) = 20 Probability of successes (p) = 0.30

Q: Question 6 The new study also carried out a test to determine whether the population proportion of…

A: Hi there! Thanks for posting the question. Since there are multiple questions, please repost the…

Q: Let X1, ..., Xn be a sample from a binomial random variable with known parameter n and unknown…

A:

Q: Elizabeth is a busy pediatrician. On any given day, she diagnoses an average of five babies with…

A:

Q: A binomial experiment for the random variable X was performed with 10 trials. The probability of…

A:

Q: A random sample of n = 9 scores is obtained from a normal population with μ = 40 and σ = 18. What is…

A:

Q: Let the following simple random sample X1. X2. X11 following: 1. Binomial pmf. (11, 4); 2. Uniform…

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

Q: 3. Of all customers purchasing automatic garage-door openers, 60% purchase a chain-driven model. Let…

A: If each trial has only two possible outcomes, that is, success and failure, the probabilities of…

Q: Consider a binomial random variable x~ Binom(n.p) with n= 50 being the number of trials and p= 0.2…

A: p = 0.2

Q: In a binomial experiment with n trials and probability of success p, if np(1-p) V the binomial…

A:

Q: The manufacturer of textile assumes that the proportion of orders for late delivery of raw materials…

A: Part (a) Given that, n=12p=0.7q=0.3 Calculate the probability of committing a Type 1 error.…

Q: What is the sd of a random variable X with MGF 1 V(1-2t)

A: Mgf of chi square with n degree of freedom  Mx(t)=(1-2t)^(-n/2)

Q: Q1:Show that: If X1, X2, ,X, are independent random variables and X = X1 + X +...+ X, , then 02:…

A: Answer:-