# Question

We have seen that, for a binomial distribution with n trials, each with probability of success P, the mean is as follows:

μX = E[X] = nP

Verify this result for the data of Example 4.7 by calculating the mean directly from

μX = ΣxP(x)

showing that for the binomial distribution, the two formulas produce the same answer.

μX = E[X] = nP

Verify this result for the data of Example 4.7 by calculating the mean directly from

μX = ΣxP(x)

showing that for the binomial distribution, the two formulas produce the same answer.

## Answer to relevant Questions

A campus finance officer finds that, for all parking tickets issued, fines are paid for 78% of the tickets. The fine is $2. In the most recent week, 620 parking tickets have been issued. a. Find the mean and standard ...Determine the probability of more than 7 successes for a random variable with a Poisson distribution with parameter λ = 4.4. Blue Cross Health Insurance reported that 4.5% of claims forms submitted for payment after a complex surgical procedure contain errors. If 100 of these forms are chosen at random, what is the probability that fewer than 3 of ...Compute the probability of 8 successes in a random sample of size n = 15 obtained from a population of size N = 100 that contains 50 successes. Consider the joint probability distribution: a. Compute the marginal probability distributions for X and Y. b. Compute the covariance and correlation for X and Y. c. Compute the mean and variance for the linear function W = ...Post your question

0