If ? is a binomial random variable, compute each of the following: (a) ?=6,?=0.1 ?(?≤4)= (b) ?=4,?=0.5 ?(?>2)= (c) ?=6,?=0.1 ?(?<5)= (d) ?=6,?=0.2  ?(?≥5)=

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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If ? is a binomial random variable, compute each of the following:

(a) ?=6,?=0.1

?(?≤4)=

(b) ?=4,?=0.5

?(?>2)=

(c) ?=6,?=0.1

?(?<5)=

(d) ?=6,?=0.2 

?(?≥5)=

Expert Solution
Step 1

a) 

n=6, p=0.10x=4

By applying binomial distribution:-

P(x,n)=nCx*px*(1-p)(n-x) 

Use the excel formula, "=BINOM.DIST(4,6,0.10,TRUE)" to determine the probability.

 

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