Question

May is tornado month in Oklahoma. According to the National Weather Service, on average in May, the number of tornados in Oklahoma is 21.7 tornados. Consider the random variable X, the amount of time (in days) until the 10th tornado occurs. HINT: There are 31 days in May.

State the distribution name and parameters.

What is the average and standard deviation of the number of days before the 10th tornado? *Only care about tornadoes in oklahoma

Answer 1

here this follows Gamma distribution with parameter =10 and =31/21.7 days/Tornado

hence  average of the number of days before the 10th tornado = =10*31/21.7 =14.2857

and standard deviation of the number of days before the 10th tornado =sqrt(²) =4.51754