Consider the number of heads, x, when 15 fair coins are all tossed at once a Use binomial expansion to find the probability distribution for P(x) Then calculate the theoretical results for 500 trials of this experiment Copy and complete the table below Round off the frequencies in row 3 to whole nu...

a Table the shown below Let x represent the probability ...

Consider the number of heads, x, when 15 fair coins are all tossed at once. a. Use

Question:

Consider the number of heads, x, when 15 fair coins are all tossed at once.
a. Use binomial expansion to find the probability for P(x). Then calculate the theoretical results for 500 trials of this experiment. Copy and complete the table below. Round off the frequencies in row 3 to whole-number values.

b. Create a histogram showing the probability distribution for P(x).
c. Find the mean and standard deviation of the number of heads.
d. How many of the 500 trials are within one standard deviation of the mean?
e. What percentage of the data is within one standard deviation of the mean?
f. What percentage of the data is within two standard deviations of the mean?
g. What percentage of the data is within three standard deviations of the mean?

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...