SAT college entrance test score are known to be normally distributed with a mean of 1027 and a standard deviation of 94. Determine the 5th percentile of all SAT scores. Round th solution to the nearest whole number, if necessary.

5th percentile is =

A soft drink machine at a local food restaurant can be calibrated so that it dispenses an average of mean ounces per cup. If the ounces of soda dispensed are normally distributed with standard deviation 0.5 ounces, find a value of mean such that 24 ounce cups will overflow only 10% of the time. Round the solution to one decimal place, if necessary.

The speed of all pitches thrown by IRSC softball team are normally distributed with a mean of 69.75 miles per hour and a standard deviation of 3 miles per hour. Determine the probability that a randomly selected pitch has a speed of more than 70 miles per hour. Round the solution to four decimal places, if necessary.

P(x>70) =