Answer: 0.47
Step-by-step explanation:
Given that
n = 100, probability of rolling 1 = 1/6
binomial approximation
np = 100 ( 1/6) = 16.667
standard deviation = √ 100 × 1/6 ×5/6 = 3.7627
P ( 9 ≤ X ≤ 16 )
= P ( 8.5 < X < 16.5 )
so,
= P ((8.5 - 16.6667) / 3.7627 < Z < (16.5 - 16.6667) / 3.7627
= P ( -2.17 < Z < -0.04 )
= 0.484 - 0.015
= 0.47
Therefore the approximate probability that you will roll between 9 and 16 ones is 0.47
