Individual M&M plain candies have weights that are normally distributed with a mean weight

1) Individual M&M plain candies have weights that are normally distributed with a mean weight of 0.8565 g and a standard deviation of 0.0518 g.

If you randomly select 1 M&M plain candy, what is the probability That the candy will weigh less than 0.8535 g?

2) Individual M&M plain candies have weights that are normally distributed with a mean weight of 0.8565 g and a standard deviation of 0.0518 g.

If you randomly select 465 M&M plain candies, what is the probability that their mean weight will be less than 0.8535 g?

3)  Suppose you are going to test the claim that more than half of adults prefer a window seat when they fly.   

The results of a poll indicated that 492 of 806 adults preferred a window seat when they were flying.

Calculate the test statistic for this hypothesis test.