The employees in certain division of cybertronics inc. need to complete a certification online. on average, it takes 20 hours to complete the coursework and successfully pass all tests, and the standard deviation is 6 hours. if you select a random sample of size 30, the probability that the employees in your sample have taken, on average, more than 20.5 hours is

0.3241

Step-by-step explanation:

Let x be the random variable that represents the time to complete the coursework and successfully pass all tests.

Given : The employees in certain division of Cybertronics Inc. need to complete a certification online.

On average, it takes 20 hours to complete the coursework and successfully pass all tests, and the standard deviation is 6 hours.

i.e.

Sample size = 30

The probability that the employees in your sample have taken, on average, more than 20.5 hours i will be :

∴ The probability that the employees in your sample have taken, on average, more than 20.5 hours is 0.3241 .

10

step-by-step explanation:

7+3=10

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: