Question

A certain brand of memory chip is likely to be defective with probability p = 1/10....

A certain brand of memory chip is likely to be defective with probability p = 1/10. Let X be the number of defective chips among n = 100 chips selected at random.

(a) (4 points) Find P(6 ≤ X ≤ 17) exactly. (Note: You only need to provide a formal expression using the probability mass function in this part, as the numerical value is beyond the range of the table.)

(b) (4 points) Find P(6 ≤ X ≤ 17) using Poisson approximation.

(c) (6 points) Find P(6 ≤ X ≤ 17) using normal approximation.

Math   Statistics-And-Probability   
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