Question

In: Statistics and Probability

Let X be a binomial random variable with parameters n = 5 and p = 0.6....

Let X be a binomial random variable with parameters n = 5 and p = 0.6.

a) What is P(X ≥ 1)?

b) What is the mean of X?

c) What is the standard deviation of X? (Show work)

Solutions

Expert Solution

Solution:

a)

By using excel,

P(X 1 ) = 1 - P(X < 1 )

=1- BINOM.DIST(1,5,0.6,TRUE)

= 1 - 0.0870

Probability = 0.9130

b)

Mean = = n*P = 5 * 0.6 = 3

c)

Standard deviation = =n*p*(1-p) = 1.2 = 1.0954

orchestra answered 2 years ago
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