According to an NRF survey conducted by BIGresearch, the average family spends about $229on 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 $130on back-to-college electronics?

(b)They spend more than $360on back-to-college electronics?

(c)They spend between $115and $180on back-to-college electronics?

(Round the values of z to 2 decimal places, e.g. 1.25. Round your answers to 4 decimal places, e.g. 0.2531.)

(a)P(x<130) =

enter probability rounded to 4 decimal places

(b)P(x>360) =

enter probability rounded to 4 decimal places

(c)P(115<x<180) =

enter probability rounded to 4 decimal places