Suppose that x has a poisson distribution with a mean of 64. use normal approximation without applying continuity correction to approximate the following probabilities. round your answers to 3 decimal places (e. g. 98.765). (a) upper p left-parenthesis upper x greater-than 80right-parenthesis equals (b) (c) upper p left-parenthesis 60 less-than upper x less-than-or-equal-to 68 right-parenthesis equals

Step-by-step explanation:

Given that X has a Poisson distribution with a mean of 64.

We know in Poisson distribution mean = variance

Hence X will be normal after approximation as X is N(64,8)

Without continuity correction we find these by converting to Z score and using std normal distribution table.

a)

b)

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step-by-step explanation:

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answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0