# Binomial Random Variable

1. For a binomial random variable with n=8, pie =0.2, P(3)=

2. For a binomial random variable with n=6, and pie = 0.7, P(5)=

3. A package of seeds states that the probability of germination is 0.92. For a package containing 75 seeds, the mean and variance of the number of seeds germinating are:

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#### Solution Preview

Binomial random variable

1. For a binomial random variable with n=8, pie =0.2, P(3)=

Solution.

P(3)=C(8,3)*0.2^3*(1-0.2)^5

=56*0.008*0.32768=0.1468

Note: C(8,3) is the binomial coefficient: ...

#### Solution Summary

Solution addresses 1. For a binomial random variable with n=8, pie =0.2, P(3)=

2. For a binomial random variable with n=6, and pie = 0.7, P(5)=

3. A package of seeds states that the probability of germination is 0.92. For a package containing 75 seeds, the mean and variance of the number of seeds germinating are: