Question

1.)

A baseball player has a batting average of 0.275. What is the probability that he has exactly 7 hits in his next 7 at bats?

The probability is

2.)

According to Masterfoods, the company that manufactures M&M’s, 12% of peanut M&M’s are brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. You randomly select five peanut M&M’s from an extra-large bag of the candies. (Round all probabilities below to four decimal places; i.e. your answer should look like 0.1234, not 0.1234444 or 12.34%.)

Compute the probability that exactly four of the five M&M’s are orange.



Compute the probability that three or four of the five M&M’s are orange.



Compute the probability that at most four of the five M&M’s are orange.



Compute the probability that at least four of the five M&M’s are orange.



If you repeatedly select random samples of five peanut M&M’s, on average how many do you expect to be orange? (Round your answer to two decimal places.)

orange M&M’s

With what standard deviation? (Round your answer to two decimal places.)

orange M&M’s

Answer 1

1)

Note that he hits each one of them independently of others. To get all the hits the probability required is -

Because all the hits are independent.

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2)