In: Statistics and Probability
2) It is known that at major sporting events only 60% of persons that use the washroom during a break in the action will wash their hands. Assuming that you had observed 14 people leave the washroom, answer the following:
a) The probability that exactly 4 of these people have washed their hands.
b) The probability that more than 10 of these people have washed their hands.
c) The probability that at least 4 of these people will have washed their hands.
d) The expected value for this probability distribution.
It is known that the average age of major league baseball players is 28.3 years with a population standard deviation of 2.8 years. Determine the probability that the average age of 36 randomly selected National League baseball players is less than 27 years of age?