Answered: A binomial random experiment is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Q1: let an experiment consist of tossing a pair of unbiased dice. Let X be a random variable indicating the sum of the two faces. find: 1- Sample space. 2- P (X= x) 3- 3- Mathematical Expectation. 4- Does the conjugation represent a normal distribution?
X is a binomial random variable with n=20 and p=.4. Find P(5 ≤ X < 10). Question 4 options: .821 .629 .704 .746
11. A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment. n = 9, p = 0.35, x= 2 P(2) = (Do not round until the final answer. Then round to four decimal places as needed.) %3D
11. Consider a binomial experiment with n=20 and p=0.4. Calculate the probability that the binomial random variable X is fewer than 10. The random variable is not normally distributed.
A poll found that 35% of adults do not work at all while on summer vacation. In a random sample of 7 adults, let x represent the number who do not work during summer vacation. Complete parts a through e. C a. For this experiment, define the event that represents a "success." Choose the correct answer below. Adults working during summer vacation Adults not working during summer vacation b. Explain why x is (approximately) a binomial random variable. Choose the correct answer below. O A. There are three possible outcomes on each trial. OB. The experiment consists of only identical trials. OC. The trials are not independent. D. The experiment consists of identical trials, there are only two possible outcomes on each trial (works or does not work), and the trials are independent. c. Give the value of p for this binomial experiment. p= 0.35 d. Find P(x= 3). P(x= 3) = (Round to four decimal places as needed.)
Leakage from underground gasoline tanks at service stations can damage the environment. It is estimated that 30% of these tanks leak. You randomly choose 30 tanks at random. A. Does the binomial setting apply? Explain B. What is the mean number of leaking tanks in such samples od 30 tanks? What is the standard deviation? C. What is the probability 25 of these tanks leak? D. What is the probability more than 15 tanks leak in samples of 30 tanks?
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8.5 Q2) Hey! Need help solving this question, it states to answer in simplified fractions. Thank you!
10. A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in then independent trials of the experiment. n = 60, p = 0.97, x= 58 P(58) = %3D (Do not round until the final answer. Then round to four decimal places as needed.)
Consider a binomial random variable x- Binom(n.p) with n = 50 being the number of trials and p= 0.2 being the probability of success. Calculate P(X> 12) It is recommended that you use R for this calculation. Answer as a decimal and not a percentage. Accuracy required to 3 decimal places, e.g. 0.123.
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A binomial random experiment is conducted where p = 0.8. What is the probability of failure in any one trial? 0.16 0.2 0.4 0.8