SOLUTION: Consider the experiment in which an honest die is rolled 180 times. The random variable x denotes the total number of one's that come up in the 180 rolls. A) What I'd the proba

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Question 920352: Consider the experiment in which an honest die is rolled 180 times. The random variable x denotes the total number of one's that come up in the 180 rolls.
A) What I'd the probability that x is 30 or more?
B) What is the probability that x is between 20 and 40?
C) What is the probability that x is less than 15?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
honest die , p(one) = 1/6, p(not one) = 5/6, n = 180
x the number of one's
TI syntax is binomcdf(n, p, largest x-value) for binomial ≤ cumulative probability
P(x > 30) = 1 - binomcdf(150, 1/6, 30)
P(20 < x < 40) = binomcdf(150, 1/6, 39)- binomcdf(150, 1/6, 19)
P(x < 15) = binomcdf(150, 1/6, 14)