When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 5%. Let X = the number of defective boards in a random sample of size n = 25, so ∼X Bin (25,.05)
a. Determine P(X ≤ 2).
b. Determine P(X ≥ 5)..
c. Determine P(1 ≤ X ≤ 4)..
d. What is the probability that none of the 25 boards is defective?
e. Calculate the expected value and standard deviation of X.
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