**Problem 20: Probability with Binomial Distribution**A shipment of 100 tires from the Apex Tire Corporation is known to contain 20 defective tires. Five tires are selected at random, and each tire is replaced before the next tire is selected. What is the probability of getting 2 defective tires? [Do not solve]**Treating this as a binomial distribution, in this problem what is the value of:**- \( n \) ________- \( x \) ________- \( p \) ________- \( q \) ________

Answered: Image /qna-images/answer/dc48523f-f524-4cce-8946-1804a087e66e.jpg

Answered: 20. A shipment of 100 tires from the…

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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Delta Airlines quotes a flight time of 2 hours, 5 minutes for its flights from Cincinnati to Tampa. Suppose we believe that actual flight times are uniformly distributed between 2 hours and 2 hours, 20 minutes. b. What is the probability that the flight will be no more than 5 minutes late (to 2 decimals)? c. What is the probability that the flight will be more than 10 minutes late (to 2 decimals)? d. What is the expected flight time, in minutes?
Assume that the normal distribution can be used to approximate the following binomial distribution question. A survey of adults found that 6% say their favorite sport is auto racing. You randomly select 400 adults and ask them to name their favorite sport. Complete parts (a) and (b). (a) Find the probability that the number of people who say auto racing is their favorite sport is at most 30. (b) Find the probability that the number of people who say auto racing is their favorite sport is more than 33. (Round to four decimal places as needed.)
A group of botanists is studying the distribution of carnations in a field. The field is divided into a number of equal sized squares. The mean number of carnations per square is assumed to be 3. The carnations are distributed randomly throughout the field. Find the probability that: (b) (i) there will be more than two carnations. (ii) either five or six carnations.
A thief steals stereo systems from the parked cars. Every morning he starts searching parked cars, until he gets a car with stereo system. Then he steals the stereo system and calls it a day. The probability that a parked car has a stereo system is 'p' and it is treated as success, the probability distribution of failures before getting a stereo system for 100 days as follows. Fit a geometric distribution for the following data. No. of failures (x) 0 No. of days (f) 1 2 120 48 20 7 3 3 4 5 6 1 1
Suppose we have a bucket of 20 balls with 10 red and 10 green. We take 5 draws and after each draw, we remove the chosen ball from the bucket before our next draw (this is called drawing without replacement). Can we use the binomial distribution to model this scenario? Why or why not?
4. A large insurance company indicates that 78% of the policy holders have at least one health issues and 22% do not health issues. Let Y1 be a random variable defined as Yı = 0, if the policy holder does not have any health issues; Yı = 1, if the if the policy holder have health issues. Write the probability distribution of Y1, E(Y1) and Var(Y1).
Only 2nd
13 15. A die is tossed twice. Getting 'a number greater than 4' is considered a success. Find the mean and variance of the probability distribution of the number of successes. Cna de arear1
Suppose the time it takes for guests to wait for an elevator at the lobby of a certain office building has a uniform distribution between 0 and 4 minutes. What is the probability that, the next time you need to take this elevator, you'll have to wait at most 1.6 minutes? (Your answer should be a decimal. Round to 4 decimal places if necessary.)
Q3. A 10-year record of tornadoes per year to land in a particular region is 2, 2, 1, 3, 2, 1, 0, 2, 3, and 1. Using Poisson's distribution, what is the probability of not having tornados in any 1 year? What are the average of the number of tornadoes in 1 year?
I. Boston Children’s Hospital estimates that 90% of Americans have had chickenpoxby the time they reach adulthood.32(a) Suppose we take a random sample of 100 American adults. Is the use of the binomial distributionappropriate for calculating the probability that exactly 97 out of 100 randomly sampled Americanadults had chickenpox during childhood? Explain.(b) Calculate the probability that exactly 97 out of 100 randomly sampled American adults had chickenpoxduring childhood.(c) What is the probability that exactly 3 out of a new sample of 100 American adults have not hadchickenpox in their childhood?(d) What is the probability that at least 1 out of 10 randomly sampled American adults have had chickenpox?(e) What is the probability that at most 3 out of 10 randomly sampled American adults have not hadchickenpox?
For a marketing research it is known that the proportion women who use personal care products is 0.40 and the proportion of men is 0.25 for a sample of 500 women and 400 men chosen at random, who follow a binomial distribution. Calculate the value of the difference between the sample proportion by gender so that the probability is less than 0.9975?

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