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Mathematics, 22.07.2020 02:01 01222002
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(25,0.05).
Required:
a. Determine P(X=3).
b. Determine P(X≤3).
c. Determine P(X≥4).
d. Determine P(1≤X≤3)..
e. What is the probability that none of the 25 boards is defective?
f. Calculate the expected value and standard deviation of X.
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