Let X be a binomial rv based on n trials with success probability p. That is, X - Bin(n, p).(a) For fixed n, are there values of p (0 sp s 1) for which V(X) = 0? (Enter your answers as a comma-separated list. Ifthere is no answer, enter NONE.)Explain why this is so. (Select all that apply.)When every trial will be a failure, there is no variability in X.When every trial will be a success, there is no variability in X.When the probability of success is the same as the probability of failure, there is no variability in X.There are no values of p for which v(X) = 0.(b) For what value of p is V(X) maximized? [Hint: Either graph V(X) as a function of p or else take a derivative.]p =

Answered: Image /qna-images/answer/5e53defb-29fb-4a4b-b8c5-ff04eafcb973.jpg

Answered: Let X be a binomial rv based on n…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A humane society claims that less than 61% of households in a certain country own a pet. In a random sample of 700 households in that country, 399 say they own a pet. At a= 0.05, is there enough evidence to support the society's claim? Complete parts (a) through (c) below. (a) Identify the claim and state H, and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) O A. The percentage households in the country' that own a pet is not %. O B. Less than % of households in the country own a pet. O C. More than % of households in the country own a pet. O D. % of hoúseholds in the country own a pet.
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What is the decision rule for this test? Select one: a. Reject Ho if (n-1) s/%o > x-1, or x-1,a c. Reject Ho if (n-1) s²/o > x²-1.x d. Reject Ho if (n-1) s/%o >x-1,1-
(1 point) According to a recent marketing campaign, 100 drinkers of either Diet Coke or Diet Pepsi participated in a blind taste test to see which of the drinks was their favorite. In one Pepsi television commercial, an anouncer states that "in recent blind taste tests, more than one half of the surveyed preferred Diet Pepsi over Diet Coke." Suppose that out of those 100, 42 preferred Diet Pepsi. Test the hypothesis, using a = 0.05 that more than half of all participants will select Diet Pepsi in a blind taste test by giving the following: (a) the test statistic (b) the critical z score
For the M/M/N/o system, the probability that an arrival will find all servers busy and will be forced to wait in queue is an important measure of performance of the M/M/N/∞ system. This probability is given by PQ N!(1 – p/N) | and is known as the Erlang C formula. Please derive the equation. What is the expected number of customers waiting in the queue (not in service)?
Complete the following multiple choice questions. No work will be graded in the bonus problem. (a) E(X²)= 16. Compute E[-X(3X – 2)]. Assume that X is a random variable with E(X)= -3 and | (i) -54 (ii) -48 (iii) -33 (iv) -27
An education researcher claims that at most 7% of working college students are employed as teachers a= 0.01, is there enough evidence to reject the researcher's claim? Complete parts (a) through (e) below. r teaching assistants. In a random sample of 500 working college students, 9% are employed as teachers or teaching assistants. At (a) Identify the claim and state H, and H Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. At most 7 % of working college students are employed as teachers or teaching assistants. O B. % of working college students are employed as teachers or teaching assistants. O C. The percentage of working college students who are employed as teachers or teaching assistants is not %. O D. More than % of working college students are employed as teachers or teaching assistants. Let p be the population proportion of successes, where a success is a…
Q3 Suppose we have two boxes and 2N cards, of which N are blue and N are red. Initially, N of the cards are placed in box 1, and the remainder of the cards are placed in box 2. At each trial a card is chosen at random from each of the boxes, and the two cards are put back in the opposite boxes. Let Xo denote the number of blue cards initially in box 1 and, let Xn for n ≥ 1, be the number of blue cards in box 1 after the nth trial. Find the closed form transition probailities of the Markov chain Xn, n ≥ 0.
Several recent studies have suggested that people who suffer from abnormally high blood pressure can benefit from regular exercise. She conducts a small sample of 3 random patients with high blood pressure and measures blood pressure before and after the exercise program. Subject Before After 1 155 133 2 160 140 3 145 120 Conduct a test to see if the claim is supportive. State the hypotheses from the previous problem. (high blood pressure problem)
Of 9 randomly selected male students, Xj used Apple computer, whereas of 12 randomly selected female student, X2 used Apple computer. Let: p1 and p2 denote the probabilities that a randomly selected male and female students, respectively, played tennis. what is unbiased estimator of P1 - P2 ? X2 Da. 7+ 12 X1 X2 Ob. 49 144 X2 12 X1 Od. 49 X2 144

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