Question: (1)The probability that a truck will be going over the speed limit on I-77 South between Dobson and Elkin is about 75%.Suppose a random sample

(1)The probability that a truck will be going over the speed limit on I-77 South between Dobson and Elkin is about 75%.Suppose a random sample of five trucks are observed on this stretch of I-77.

a.Find the mean of this binomial probability distribution.Show the formula and your work.

b.Interpret the mean in the context of the problem.

c.Find the standard deviation. Round your answer to 2 decimal places.

d.Find the probability that exactly 3 of the observed trucks are speeding.

Find the probability that less than 3 of the observed trucks are speeding.

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