Leakage from underground gasoline tanks at service stations

Leakage from underground gasoline tanks at service stations can damage the environment. It is estimated that 25% of these tanks leak. You examine 15 tanks chosen at random, independently of each other.

(a). What is the mean number of leaking tanks in such samples of 15?

(b). What is the probability that 10 or more of the tanks leak?

(c). Now you do a larger study, examining a random sample of 1000 tanks nationally. What is the probability that at least 275 of these tanks are leaking?

Solution

B) Go to TI83>2ND (DISTR)>binomcdf( and enter 15, 0.67,10 and the result is 0.585.

C) Go to TI83>2ND (DISTR)>binompdf( and enter 1000,0.275,275 and the result is 0.282.