A balanced coin is tossed three times Let x equal the number of heads observed a Use the formula for the binomial probability distribution to calculate the probabilities associated with x 0, 1, 2, and 3 b Construct the probability distribution c Find the mean and standard deviation of x, using thes...

The random variable x is defined to be the number of heads observed when a coin is flipped ...

A balanced coin is tossed three times. Let x equal the number of heads observed. a. Use

Question:

A balanced coin is tossed three times. Let x equal the number of heads observed.
a. Use the formula for the binomial probability to calculate the probabilities associated with x = 0, 1, 2, and 3.
b. Construct the probability Find the mean and standard deviation of x, using these formulas:
µ = np
σ = √npq
d. Using the probability in part b, find the fraction of the population measurements lying within one standard deviation of the mean. Repeat for two standard deviations. How do your results agree with Tchebysheff's Theorem and the Empirical Rule? Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...