In: Statistics and Probability
According to a report by Scarborough Research, the average monthly household cellular phone bill is $73. Suppose local monthly household bills are normally distributed with a standard deviation of $11.35.
(a) What is the probability that a randomly selected monthly cellphone bill is between $60 and $74?
(b) What is the probability that a randomly selected monthly cellphone bill is between $79 and $88?
(c) What is the probability that a randomly selected monthly cellphone bill is no more than $39?
Let X be a randomly selected monthly cellphone bill. We know that X is normally distributed with mean and standard deviation
(a) What is the probability that a randomly selected monthly cellphone bill is between $60 and $74?
ans: the probability that a randomly selected monthly cellphone bill is between $60 and $74 is 0.4108
(b) What is the probability that a randomly selected monthly cellphone bill is between $79 and $88?
ans: the probability that a randomly selected monthly cellphone bill is between $79 and $88 is 0.2046
(c) What is the probability that a randomly selected monthly cellphone bill is no more than $39?
ans: the probability that a randomly selected monthly cellphone bill is no more than $39 is 0.0013