# Cable Companies - Normal Distribution

According to the Yankee group, 53% of all cable households rate cable companies as good or excellent in quality transmission. Sixty percent of all cable households rate cable companies as good or excellent in having professional personnel. Suppose 300 cable households are randomly contacted?

a. What is the probability that more than 175 cable households rate cable companies as good or excellent in quality transmissions?

b. What is the probability that between 165 and 170 (inclusive) cable households rate cable companies as good or excellent in quality transmissions?

c. What is the probability that between 155 and 170 (inclusive) cable households rate cable companies as good or excellent in having professional personnel?

d. What is the probability that fewer than 200 cable households rate cable companies as good or excellent in having professional personnel?

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#### Solution Preview

The solution file is attached.

(1) p = 0.53, q = 1 - p = 0.47, n = 300, = np = 300 0.53 = 159,

= (npq) = 8.64

(a) z = (x - )/ = (175 - 159)/8.64 = 1.85

P(x > 175) = Area under the ...

#### Solution Summary

The expert examines normal distributions for the Cable Companies. Neat and Step-by-step solutions are provided for all parts of the question.