The following data represent the number of games played in series of tournament from 1921 to 2004.

x (games played) 4, 5, 6, 7

frequency 17, 18, 15, 33

(a) Construct a discrete probability distribution for the random variable X, P(xi)=Fi/N

(b) Draw the probability histogram.

(c) Compute the mean of the random variable X. Ux =___ (round to four decimal places as needed)

Interpret the mean of the random variable X

D) compute the standard deviation of the random variable X (round to the nearest tenth as needed)

c) compute and interpret the mean of the random variable X(type an integer or a decimal)

d) compute the standard deviation of the random variable X(type an integer or a decimal)

E) what is the probability that a randomly selected student has a parent involved in three activities.(type an integer or a decimal)

F) what is the probability that a randomly selected student has a parent involved in three or four activities? (type an integer or a decimal)

(B) to the nearest million, how much should the grand prize be so that you can expect a profit? assume nobody else wins so that you do not have to share the grand prize.

c) does the size of the grand prize affect your chance of winning?

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