The random variable x is the number of occurrences of an event over an interval of...

The random variable x is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the probability of an occurrence is the same in any two-time periods of an equal length. It is known that the mean number of occurrences in ten minutes is 5.3. The probability that there are 8 occurrences in ten minutes is

	a.	.0771
	b.	.0241
	c.	.1126
	d.	.9107

Expert Solution

µ = 5.3

P(X = 8) = e^-µ * µ⁸ / 8! = e^-5.3 * 5.3⁸ / 8! = 0.0771 (ans)

orchestra answered 3 years ago

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