Answered: Given a binomial distribution in which…

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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Question number 2
ZOC Page < 8 of 8 shape: shape: shape: 4. Owning a Pet. Sixty-eight percent of U.S. households own a pet, according to the 2017-2018 National Pet Owners Survey conducted by the American Pet Products Association (APPA). a. If 20 households are selected at random, let X be the number of households who own a pet. Determine if this is a binomial problem. Identify the number of trials, n, and the probability of success, p, for this problem: 1. 2. 3. 4. X~Binomial ( n =. b. Using excel, construct the probability distribution for this data. c. Find the probability that more than 10 of the 20 households have pets. P( d. Find the probability that less than 5 or more than 15 of the 20 households have pets. P( e. Find the probability that between 6 and 14 of the 20 households have pets. P( f. mean Interpretation: for the distribution tells us:
After several thousand game over several years versus a computer opponent, your instructor has won 66.4% of the time. At this rate, if twelve game were to be played what is the probability that he would win exactly eight of them? Explain your answer.
The cost of 5 gallons of ice cream has a variance of 36 with a mean of 35 dollars during the summer. What is the probability that the sample mean would be less than 33.8 dollars if a sample of 96 5-gallon pails is randomly selected? Round your answer to four decimal places.
In the winter, guests who visit Yosemite National Park like to stay at an overnight lodge in the park 71 % of the time. Find the probability that among 11 guests surveyed exactly 3 guests like to stay at an overnight lodge in the park. P(x = 3) =
In a recent year, the Better Business Bureau settled 75% of complaints they received. You have been hired by the Bureau to investigate complaints this year involving computer stores. You plan to select a random sample of complaints to estimate the proportion of complaints the Bureau is able to settle. Suppose your sample size is 288. What is the probability that the sample proportion will be at most 4 percent more than the population proportion?
If Y is a random variable from an exponential distribution with a mean of 5; what is the probability that Y is more than 7?
About 10% of babies born with a certain ailment recover fully. A hospital is caring for seven babies born with this ailment. The random variable represents the number of babies that recover fully. Decide whether the experiment is a binomial experiment. If it is, identify a success, specify the values of n, p, and q, and list the possible values of the random variable x. is the experiment a binomial experiment? No Yes What is a success in this experiment? Baby doesn't recover Baby recovers This is not a binomial experiment. Specify the value of n. Select the correct choice below and fill in any answer boxes in your choice.A.n=enter your response hereB.This is not a binomial experiment. Specify the value of p. Select the correct choice below and fill in any answer boxes in your choice.A.p=enter your response hereB.This is not a binomial experiment. Specify the value of q. Select the correct choice below and fill in any answer boxes in your choice.A.q=enter your response…
After careful research you observe that the number of hackers active on each day is a random variable Bin(3,0.5) distribution. If no hackers are active, the probability of the website failure is 0.15; If one hacker is active the probability of the website failure is 0.3; if two or more hackers are active the probability of the website failure is 0.5. You conclude that the total probability of website failure on a given day is two decimal place). Assuming there is a failure, the probability no hackers are active is (to (to two decimal places).
Suppose 48% of the registered voters in a country are Republican. If a sample of 586 voters is selected, what is the probability that the sample proportion of Republicans will be greater than 42%? Round your answer to four decimal places.
Would it be unusual for an data value to be more extreme than 4.76 standard deviations from the mean? Explain using probability. Would it be unusual for a data value to be more extreme than -1.36 standard deviations from the mean? Explain using probability. For 9 trials that follow a binomial distribution with the probability of failure at 8%, find the probability of exactly 6 successes. Find and interpret the expected value of a $20 bet on red and $40 bet on black for one spin of the roulette wheel.

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Given a binomial distribution in which the probability of success is 0.53 and the number of trials 9, what the probability of getting at least 8 successes?