1) A random variable has possible values of 20, 21, 22, 23, and 24 that are equally likely to occur. a) What is the probability that the random variable is less than 23? b) What is the mean of the random variable? c) What is the standard deviation of the random variable?

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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can someone please answer Questions 1 and 2 

 

1) A random variable has possible values of 20, 21, 22, 23, and 24 that are equally likely to
occur.
a) What is the probability that the random variable is less than 23?
b) What is the mean of the random variable?
c) What is the standard deviation of the random variable?
2) Find the probabilities of the following events for a binomial random variable with n = 10, and
π = 0.5.
a) Exactly two successes
b) More than two successes
c) Less than 2 successes
d) At least 2 successes
Transcribed Image Text:1) A random variable has possible values of 20, 21, 22, 23, and 24 that are equally likely to occur. a) What is the probability that the random variable is less than 23? b) What is the mean of the random variable? c) What is the standard deviation of the random variable? 2) Find the probabilities of the following events for a binomial random variable with n = 10, and π = 0.5. a) Exactly two successes b) More than two successes c) Less than 2 successes d) At least 2 successes
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