Suppose that X has a Poisson distribution with a mean of 64. Approximate the following probabilities. Round the answers to 4 decimal places (e. g. 98.7654). a) Upper P left-parenthesis Upper X greater-than 84right-parenthesis equals b) Upper P left-parenthesis Upper X less-than 64 right-parenthesis equals

(a) The probability of the event (X > 84) is 0.007.

(b) The probability of the event (X < 64) is 0.483.

Step-by-step explanation:

The random variable X follows a Poisson distribution with parameter λ = 64.

The probability mass function of a Poisson distribution is:

(a)

Compute the probability of the event (X > 84) as follows:

P (X > 84) = 1 - P (X ≤ 84)

Thus, the probability of the event (X > 84) is 0.007.

(b)

Compute the probability of the event (X < 64) as follows:

P (X < 64) = P (X = 0) + P (X = 1) + P (X = 2) + ... + P (X = 63)

Thus, the probability of the event (X < 64) is 0.483.

answerthe vertex form

step-by-step explanation:

lockers 1, 4, 9, 16, 25, 40, and 49 are open

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