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.

5x+2x=49

7x=49

x=7. 35 apples

answer: 42

use a calculator to find that 845/73 = 11.575

the whole part of the answer is 11. multiply this by 73 to get 11*73 = 803.

subtract that result from 845 to get 845 - 803 = 42