Plz help with this word problem
1 answer:
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Answer:
The probability that five cars will arrive during the next thirty minute interval is 0.0127.
Step-by-step explanation:
Let <em>X</em> = number of cars arriving at Sami Schmitt's Scrub and Shine Car Wash.
The average number of cars arriving in 20 minutes is, 8.
The average number of cars arriving in 1 minute is, .
The average number of cars arriving in 30 minutes is, .
The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 12.
The probability mass function of <em>X</em> is:
Compute the probability that 5 cars will arrive in 30 minutes as follows:
Thus, the probability that five cars will arrive during the next thirty minute interval is 0.0127.