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.
[tex]P(X = x) = \frac{e^{-m} m^{x} }{x!}[/tex]
where m is the average per hour = 6
[tex]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[/tex]
