the average temp of the lake is 64.2 degrees and the standard deviation is 3.2. Assume the cariable is normally distributed. For a randomly selected day find the probabliity that the temp will be above 62 degrees

Answer 1

Use z-scores:

z = (x - mean)/sd

x = 62
mean = 64.2
sd = 3.2

Once you have the z-score, check a z-table for the probability.