Mathematics, 07.12.2021 03:20, loanyst7513

An experiment consists of identical trials. Each trial can resultin one of two possible outcomes: success or failure. The trials are independent. The probability of success is constant from trial to trial. SetXto be the randomvariable that counts the number of trials necessary to obtain the first success. Note: Such anXis said to havegeometric distribution. For example, con-sider the experiment of rolling a fair six-sided die until the number6is displayed. The number of rolls needed to roll6follows a geometric distribution with. Required:
a. Find a formula for P(X = x).
b. Show that E(X) = 1/p.
c. Give an example of a geometric experiment.

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An experiment consists of identical trials. Each trial can resultin one of two possible outcomes: su...