Question

Identify the parameters in the following situation. When Jackie is camping, she sees 6 shooting stars every hour, on average. What is the probability that she sees exactly 4 shooting stars in the next hour?

Answer 1

The probability that she sees exactly 4 shooting stars in the next hour is 0.13

Explanation:

An assumption is made that she see the shooting stars of 6 every hour based on a poisson distribution.

`P(X = x) = (e^(-m) m^(x) )/(x!)`

where m is the average per hour = 6

`P(X = x) = (e^(-m) m^(x) )/(x!)\\P(X = 4) = (e^(-6) 6^(4) )/(4!)\\P(X = 4) = (0.002478752 * 1296 )/(4!)\\P(X = 4) = (3.212462592)/(24)\\P(X = 4) = 0.133852618\\P(X = 4) = 0.13`