When X is a binomial random variable, then the probability X ≤ r successes can be found using the formula or the calculator command: binompdf(n, p, r). P(X < r) = binomcdf(n,p,r-1) P(X > r) = 1 - P(X ≤ r ) = 1 - binomcdf(n,p,r) P(X ≥ r) = 1 - P(X < r) = 1 - binomcdf(n,p,r-1)   If X is a binomial random variable, where there are 167 trials, and p = 0.051 find P(X < 3)

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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When X is a binomial random variable, then the probability X ≤ r successes can be found using the formula or the calculator command: binompdf(n, p, r).

P(X < r) = binomcdf(n,p,r-1)

P(X > r) = 1 - P(X ≤ r ) = 1 - binomcdf(n,p,r)

P(X ≥ r) = 1 - P(X < r) = 1 - binomcdf(n,p,r-1)

 

If X is a binomial random variable, where there are 167 trials, and p = 0.051 find P(X < 3)

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