1) An automobile repair facility wishes you to study a typical dayâ€™s worth of repairs

from the perspective of the customerâ€™s satisfaction with the repair On this day, the

facility performed 35 repairs and services for its customers Twenty-five of these

repairs were judged to be successful per the standards known to be expected by

customers Out of a sample of 10 of these repairs, find the following:

a)

b)

c)

d)

e)

f) the probability that exactly 7 of the repairs were successful

the probability that fewer than 5 of the repairs were successful

the probability that at least 8 of the repairs were successful

the probability that more than 3 repairs were successful

the probability that at most 9 of the repairs were successful

the probability that between 2 and 6 (inclusive on both ends) of the repairs

were successful

2) The probability that a project can be completed in a time interval of between 10

and 25 days is thought to be a uniformly distributed random variable Find the

following:

a) the probability that the project can be completed in between 16 and 23

days

b) the probability that the project can be completed in at most 14 days

c) the probability that the project will take at least 21 days to complete

d) the probability that the project will take exactly 13 days to complete

3) The proportion of regular viewers of a public television station that support it with

a monetary donation yearly is thought to equal 45% For random samples of 50

viewers, find the following probabilities:

a) the probability that a sample proportion equals exactly 42%

b) the probability that a sample proportion is between 41% and 43%

c) the probability that a sample proportion exceeds 48%

d) the probability that a sample proportion is no more than 46%