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

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) (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)
RELATED QUESTIONS
22. A fair die is rolled three times. A random variable X denotes the number of... (answered by stanbon)

An honest die rolled six times. What is the probability that each roll will produce a... (answered by edjones)

A die is rolled 18 times with the amount of times that 2 comes up tallied. If this... (answered by stanbon)

1. For this lab assignment, the experiment is to roll a fair die twice. If the random... (answered by stanbon)

Suppose an experiment involves rolling a fair die 2592 times. Find the standard deviation (answered by robertb)

Suppose an experiment involves rolling a fair die 4500 times. Find the variance of the... (answered by robertb)

Suppose an experiment involves rolling a fair die 10368 times. Find the mean of the... (answered by robertb)

consider an experiment in which a fair coin is flipped once, a six sided die rolled once... (answered by lamis0)

Decide whether the experiment is a binomial experiment. If it is not, explain why. You... (answered by Boreal)