Temperatures in Decatur in December follow a normal model with a mean of 32.5 degrees and a standard deviation of 10.1 degrees. What percent of the time will the temperatures December be less than 23.2 degrees?

17.9%

Step-by-step explanation:

We have been given that temperatures in Decatur in December follow a normal model with a mean of 32.5 degrees and a standard deviation of 10.1 degrees. We are asked to find the percentage of the time when temperatures in December be less than 23.2 degrees.

First of all, we will find z-score corresponding to 23.2 degrees as:

Now, we will use normal distribution table to find area under a z-score of as:

Let us convert into percentage as:

Therefore, approximately 17.9% of the time the temperatures in December will be less than 23.2 degrees.

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation: