Question

According to an NRF survey conducted by BIGresearch, the average family spends about $237 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 $155 on back-to-college electronics? (b) They spend more than $340 on back-to-college electronics? (c) They spend between $135 and $190 on 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 $155 on back-to-college electronics

(b) P(x > 340) = enter the probability that they spend more than $340 on back-to-college electronics

(c) P(135 < x < 190) =

Answer 1

a) 0.0643

b) 0.0281

c) 0.1628