According to an NRF survey conducted by BIGresearch, the average family spends about $ 229 on 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 $ 140 on back-to-college electronics? (b) They spend more than $ 350 on back-to-college electronics? (c) They spend between $ 125 and $ 175 on back-to-college electronics?

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

(a) P(x < 140) = (b) P(x > 350) = (c) P( 125< x < 175) =