Carolyn usually only misses about 10% of her free throws. If she misses fewer than 2 of her next 4 free throws, then she will ho
ld the school record for free throws. To estimate the probability of this happening, Carolyn uses a computer to randomly select 4 numbers from 0 to 9. She lets 0 represent a missed free throw and 1 through 9 represent a made free throw.
She repeats this for a total of 18 trials and records the results in the table below.
Let m(<N) be x; We have m(<M) = 1.5x; We solve the equation: 75 + x + 1.5x = 180; 75 + 2.5x = 180; 2.5x = 105; x = 105 ÷ 2.5; x = 42; Finally, m(<M) = 63 degrees;