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

Answer:

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

Step-by-step explanation:

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

$P(X = x) = \frac{e^{-m} m^{x} }{x!}$

where m is the average per hour = 6

$P(X = x) = \frac{e^{-m} m^{x} }{x!}\\P(X = 4) = \frac{e^{-6} 6^{4} }{4!}\\P(X = 4) = \frac{0.002478752 * 1296 }{4!}\\P(X = 4) = \frac{3.212462592}{24}\\P(X = 4) = 0.133852618\\P(X = 4) = 0.13$