The average electric bill for a small electric company is $72 for the month of April with a standard deviation of $6. If the amounts of the bills are normally distributed, find the probability that the mean of the bills for 15 randomly selected residents will be less than $75

Hence the probability that the mean of their utility bills will be less than $75 = P(X < 75) is 0.9736.

Step-by-step explanation:

Now,  

Population mean electric bill,  $72  

Population standard deviation,  $6  

Standard error of the mean

The probability that the mean of their utility bills will be less than $75 = P(X < 75)

= P[Z < (75 - 72) / 1.5492]

= P[Z < 1.9365]

= 0.9736 (Using Z table)

you didn't give me the choices, so i will just give you the graph so you can look at your choices and choose the right one.

144.50

step-by-step explanation:

21.5 x 13.4=288.10 divide by 2