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2. Suppose X is a binomial random variable with n = 5 and p = 0.5. DIsprayra) in tabular torm. b. Compute the mean and the variance of x.

2. Suppose X is a binomial random variable with n = 5 and p = 0.5. DIsprayra) in tabular torm. b. Compute the mean and the variance of x.

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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C. Exercises (Binomial Probability Distribution) 1. Suppose X is a binomial random variable with n = 4 and p = 0.2. Calculate P(x) for each of the following values of x = 0, 1, 2, 4. Give the probability distribution in tabular form. 2. Suppose X is a binomial random variable with n= 5 and p = 0.5. DisprayP(x) in tabular rorm. b. Compute the mean and the variance of x. 3. Over the years, a meuicar researcher has found that one out of every ten diabetic patients receiving insulin develops antibodies against the hormone, thus, requiring a more costly form of medication. a. Find the probability that in the next five patients the researcher treats, none will develop antibodies against insulin. b. Find the probability that at least one will develop antibodies. D. Exercises (Poisson Probability Distribution) 1. The mean number of patients entering an emergency room at a hospital is 2.5. If the number of available beds today is 4 beds for new patients, what is the probability that the hospital will not have enough beds to accommodate its new patients? 2. A prison reports that the number of escape attempts per month has a Poisson distribution with a mean value of 1.5. A. Calculate the probability that exactly three escapes will be attempted during the next month. B. Calculate the probability that exactly one escape will be attempted during the next month. E. Exercises ( Geometric Probability Distribution) 1. An oil company has determined that the probability of finding oil at a particular drilling operation is 0.20. What is the probability that it would drill four dry wells before finding oil at the fifth one?
Transcribed Image Text:C. Exercises (Binomial Probability Distribution) 1. Suppose X is a binomial random variable with n = 4 and p = 0.2. Calculate P(x) for each of the following values of x = 0, 1, 2, 4. Give the probability distribution in tabular form. 2. Suppose X is a binomial random variable with n= 5 and p = 0.5. DisprayP(x) in tabular rorm. b. Compute the mean and the variance of x. 3. Over the years, a meuicar researcher has found that one out of every ten diabetic patients receiving insulin develops antibodies against the hormone, thus, requiring a more costly form of medication. a. Find the probability that in the next five patients the researcher treats, none will develop antibodies against insulin. b. Find the probability that at least one will develop antibodies. D. Exercises (Poisson Probability Distribution) 1. The mean number of patients entering an emergency room at a hospital is 2.5. If the number of available beds today is 4 beds for new patients, what is the probability that the hospital will not have enough beds to accommodate its new patients? 2. A prison reports that the number of escape attempts per month has a Poisson distribution with a mean value of 1.5. A. Calculate the probability that exactly three escapes will be attempted during the next month. B. Calculate the probability that exactly one escape will be attempted during the next month. E. Exercises ( Geometric Probability Distribution) 1. An oil company has determined that the probability of finding oil at a particular drilling operation is 0.20. What is the probability that it would drill four dry wells before finding oil at the fifth one?
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