Suppose that the random variable X has a geometric distribution with a p = 0.4. Calculate the following: a. P(X = 2) b. Р(X < 5) c. Evaluate the mean, variance and standard deviation.

Find the F-test statistic to test the claim that the population variances are equal. Both distributions are normal. The standard deviation of the first sample is 2.44628.0027 is the standard deviation of the second sample.

Find the mean and variance of the binomial Distribution P=0.38, n=5

Assume all populations are normally distributed. A travel analyst claims that the mean price of a round trip flight from New York City to Los Angeles is less than $507. In a random sample of 55 round trip flights from NYC to LA, the mean price is $502. Assume the population standard deviation is $111. At α = 0.05, is there enough evidence to support the travel analyst’s claim?

Determine the standard deviation of the random variable, B(600,0.4).