According to an NRF survey conducted by BIGresearch, the average family spends about $237on electronics (computers, cell phones, etc.) in back-to-college spending per student. Suppose back-to-college family spending on electronics is normally distributed with a standard deviation of $54. If a family of a returning college student is randomly selected, what is the probability that:

(a)They spend less than $155on back-to-college electronics?

(b)They spend more than $370on back-to-college electronics?

(c)They spend between $120and $185on back-to-college electronics?

(Round the values of z to 2 decimal places. Round your answers to 4 decimal places.)

(a)P(x<155) =

enter the probability that they spend less than $155on back-to-college electronics

(b)P(x>370) =

enter the probability that they spend more than $370on back-to-college electronics

(c)P(120<x<185) =