Note: Answer the Question(s) by Using the TI-30XA (or other approved) Calculator

Question

Note: Answer the Question(s) by Using the TI-30XA (or other approved) Calculator. IMPORTANT: Make sure you carry all decimals until you reach your answer, then round to four decimals. The Better Business Bureau settles 75% of complaints it receives involving new car dealers. Suppose a sample of 90 complaints involving new car dealers is selected. Find the probability that Better Business Bureau settles less than 69 of these complaints. (See exercise 35 on page 332 of your textbook for a similar problem.) Probability

Explanation / Answer

n = 90, p = 0.75

mean = np = 90*0.75 = 67.5

Standard deviation = Sqrt( np (1-p)

= sqrt( 90*0.75*0.25)

= 4.108

p(x < 69) = p( z < 69 - 67.5 / 4.108)

= p( z < 0.36514)

= 0.6425

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