6.70 and 6.72 A traffic study shows that 90 % of motor vechicles that come to a

Question

6.70 and 6.72 A traffic study shows that 90 % of motor vechicles that come to a stop for a stop signal at a certain at a c certain intersection have to wait at least 15 seconds before Signal the mean of the distribution of the number of motor vehicles among Find 10 randomly selected motor vehicles that come to stop and have to wait at least 15 seconds before proceeding (a) by looking up the probabilities in Table I and then using the formula that defines the mean of a probability distribution; (b) by using the special formula for the mean of the binomial distribution. 6.71 With reference to Exercise 6.70, where mu = 9 motor vehicles, find the standard deviation of the number of motor vehicles that have to wait at least 15 seconds before proceeding (a) using the formula for the standard deviation of a probability distribution; (b) using the special formula for the standard deviation of the binomial distribution. 6.72 If 95% of the bottles collected in a bin are suitable for recycling, for the mean and the standard deviation of the distribution of the number of the bottles among 15 selected at random that are suitable for recycling, using formulas for the mean and the standard deviation of binomial distribution

Explanation / Answer

6.70)

p= 0.90

n= 10

Mean = np = 0.90*10 = 9

6.72)

p= 0.95

n= 15

Mean = np = 15*0.95 = 14.25

standard devaition = sqrt(npq) = sqrt(15*0.95*0.05) = 0.8441

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