Question: A random variable follows a binomial distribution with a probability of success equal to 0.67. For a sample size of n=7, find the values below.

A random variable follows a binomial distribution with a probability of success equal to 0.67. For a sample size of n=7, find the values below.

a. the probability of exactly 4 successes

b. the probability of 5 or more successes

c. the probability of exactly 7 successes

d. the expected value of the random variable

a. The probability of exactly 4 successes is

nothing

.

(Round to three decimal places asneeded.)

b. The probability of 5 or more successes is

nothing

.

(Round to three decimal places asneeded.)

c. The probability of exactly 7 successes is

nothing

.

(Round to three decimal places asneeded.)

d. The expected value of the random variable is

nothing

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