Suppose 60% of a herd of cattle is infected with a particular disease. Let Y = the numberof non-diseased cattle in a sample of size 5. The distribution of Y isthe same as the distribution of X, the number of infectedO None of the other answers are correctbinomial with n = 5 and p 0.6%3Dbinomial withn 5 and p =0.5binomial with n = 5 and p = 0.4acer

Binomial distribution has used to model the situation.

Answered: Suppose 60% of a herd of cattle is…

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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Suppose there are n independent trials of an experiment with kgreater than>3 mutually exclusive outcomes, where pi represents the probability of observing the ith outcome. What would be the formula of an expected count in this situation? Choose the correct answer below. A. The expected counts for each possible outcome are given by Eiequals=StartFraction n Over p Subscript i EndFractionnpi. B. The expected counts for each possible outcome are given by Eiequals=pi. C. The expected counts for each possible outcome are given by Eiequals=n. D. The expected counts for each possible outcome are given by Eiequals=npi. Click to select your answer.
A multiple choice calculus test has 5 questions. Each question has five possible choices with only one choice being the correct answer. Let X be the number of questions the student gets correct. (a) List the conditions of the binomial setting, does X follow a binomial distribution? If so, identify n and p. If not, explain why not. (b) What is the probability that a randomly selected student writing the test will get at least 40% on the test?
3. An integer is randomly chosen from the set 1, 2,..., 100. If this integer is divisible by 2 we let Y = 0, and if it is not divisible by 2 but is divisible by 3 then Y = 1. We let Y = 2 in all other cases. Find mean and variance of Y.
A recent poll indicates that 48% of all registered voters in America plan to vote for a specific candidate in the upcoming presidential election. Suppose a random sample of 20 Americans is taken. Let X represent the sample count who plan to vote for the candidate. What is P(X≠5)?
Give the analytical and probabilistic proofs. Consider a multinomial distribution with three possible outcomes. The distribution of X1 is binomial with parameters N, N-n1 and n.
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Scenario 1: A surgeon routinely performs 4 surgeries. The chance that he performs surgery “A” is 30%. A random sample of 15 patients is selected. Let the variable X be defined as the number of patients that have surgery "A". Scenario 2: Thirteen (13) cards are randomly selected from a standard deck of cards without replacement. Let the variable X be defined as the number of spades selected. Directions: Pick a scenario describe a binomial experiment. Recall the random variable X is for the number of successes in a binomial experiment. • Be certain to state the criteria for a binomial distribution and how it does or does not meet each of the five conditions. Once your answer is posted, you will be able to see your classmates' responses.
Do question 7,8 and 9 only dont do the others The new study takes a random sample of 14 vaccinated high school children. Let x be the number of children in the sample who contract the flu. The p-value for the test can be calculated from a Binomial distribution using P(X≤x). The maximum number of children who can contract the flu to give evidence against the null hypothesis in Question 3 at the 5% level is 1 2 3 5 Question 5 Suppose the actual population proportion of vaccinated high school children who contract the flu is 30%. For a random sample of 14 vaccinated high school children and based on your answer to Question 4, the probability of making a Type II error is 0.3637 0.6448 0.8392 0.8631 Question 6 The new study also carried out a test to determine whether the population proportion of unvaccinated school children contracting winter flu was higher than the population proportion of vaccinated school children. The Z test statistic to test this belief is found to be 1.874. The…
Suppose we have a set öf n values! {x1, X2, .., Xn-1, Xn} The sample mean of the above set is x. Prove that if we multiply every value by k, then the new average will be: New average= kã (Hint: Use the formula for the sample mean with the “new" set plugged in, then simplify.)
How can I solved Question d and e?
Teachers want to know which night each week their students are doing most of their homework. Most teachers think that students do homework equally throughout the week. Suppose a random sample of students were collected which shows that the Number of students doing their homework on SUN where 16 Number of students doing their homework on MON where 18 Number of students doing their homework on TUE where 12 Number of students doing their homework on WED where 18 Number of students doing their homework on THR where 8 Number of students doing their homework on FRI where 4 Number of students doing their homework on SAT where 3 What is the Test Statistics to test the Hull Hypothesis that students were doing their homework with equal frequencies (that is, they fit a uniform distribution) against the alternative Hypothesis that students prefer doing their homework on a particular day (that is, they do not fit a uniform distribution)?
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