Assume that X is a binomial random variable with n= 5 and p = .35. Calculate P(X= 1) Hint THE BINOMIAL DISTRIBUTION For a binomial random variable X, the probability of x successes in / Bernoulli trials is for x = 0, 1, 2, ..., n. By definition, 0! = 1. O 0.3124 O 0.1160 P(X=x) = O 0.4284 (")p²(¹ - py¹-² = *(1 p) n! x! (n − x)!P¹ (1-p)¹-x

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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Assume that X is a binomial random variable with n= 5 and p = .35. Calculate P(X= 1)
Hint
THE BINOMIAL DISTRIBUTION
For a binomial random variable X, the probability of x successes in / Bernoulli trials is
for x = 0, 1, 2, ..., n. By definition, 0! = 1.
O 0.3124
O 0.1160
P(X=x) =
O 0.4284
(")p²(¹ - py¹-² =
*(1 p)
n!
x! (n − x)!P¹ (1-p)¹-x
Transcribed Image Text:Assume that X is a binomial random variable with n= 5 and p = .35. Calculate P(X= 1) Hint THE BINOMIAL DISTRIBUTION For a binomial random variable X, the probability of x successes in / Bernoulli trials is for x = 0, 1, 2, ..., n. By definition, 0! = 1. O 0.3124 O 0.1160 P(X=x) = O 0.4284 (")p²(¹ - py¹-² = *(1 p) n! x! (n − x)!P¹ (1-p)¹-x
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