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ericperkins10ox0b27
24.02.2020 •
Mathematics
Car security alarms go off at a mean rate of 3.8 per hour in a large Costco parking lot. Find the probability that in an hour there will be (Round your answers to 4 decimal places.) Probability (a) no alarms (b) fewer than four alarms (c) more than five alarms
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Ответ:
a) 0.0224
b) 0.4735
c) 0.1844
Step-by-step explanation:
We use the Poisson probability distribution to solve this problem.
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
In this problem, we have that:
(a) no alarms
(b) fewer than four alarms
(c) more than five alarms
Either there are five or fewer alarms, or there are more than five. The sum of the probabilities of these events is decimal 1. So
We want to find
. So
In which
So
Then
Ответ:
No, Tony is not correct. Solving the inequality tells us that x is greater than or equal to 37.5. Since the class must wash a whole number of cars, they need to wash at least 38 cars.
this will help