# Question

When he types reports, Tom makes typing errors at an average rate of .7 errors per page. Assume that all the Poisson conditions—independence, etc.—are met. Letting x represent values of the random variable “number of typing errors on a page,” use the Poisson table to

a. Determine the probability that x = 1 (that is, the probability that Tom makes exactly 1 typing error on a randomly selected page).

b. Compute the expected number of typing errors on a page, using the expression

E(x) = ∑[x • P(x)].

c. Compare your answer in part b to the value of λ.

d. Compute the variance for the distribution using the general expression

σ2 = ∑[(x ─ E(x))2 • P(x)].

e. Compare your answer in part d to the value of λ.

a. Determine the probability that x = 1 (that is, the probability that Tom makes exactly 1 typing error on a randomly selected page).

b. Compute the expected number of typing errors on a page, using the expression

E(x) = ∑[x • P(x)].

c. Compare your answer in part b to the value of λ.

d. Compute the variance for the distribution using the general expression

σ2 = ∑[(x ─ E(x))2 • P(x)].

e. Compare your answer in part d to the value of λ.

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