The time to complete the construction of a soapbox derby car is normally distributed with a mean of three hours and a standard deviation of one hour. Find the probability that it would take more than four hours to construct a soapbox derby car.

The probability that it would take more than four hours to construct a soapbox derby car = 0.1587 or 15.87

Step-by-step explanation:

Given -

Mean  = 3 hours

Standard deviation = 1 hours

Let X be the no of hours to construct a soapbox derby car

the probability that it would take more than four hours to construct a soapbox derby car =

 =

                =                   Put

                 =  1 -              

                 =  1 - .8413                    Using z table

                  = 0.1587

step-by-step explanation:

most likely the answer is a.

alice wins if a total of 5 is rolled. finn wins if a total of 9 is rolled.

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: