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Note: Answer the Question(s) by Using the TI-3OXA (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 160 complaints involving new car dealers is selected. Find the probability that Better Business Bureau settles less than 131 of these complaints. (See exercise 35 on page 332 of your textbook for a similar problem.) Probability Click to Grade Your Work

Explanation / Answer

here mean number of compaints =np =160*0.75=120

and std deviation =(np(1-p))1/2 =5.4772

therefore from normal approximation of binomial distriution with continuity correction factor:

probability of less than 131 of complaints to be settled =P(X<131) =P(X<130.5)=P(Z<(130.5-120)/5.4772)

=P(Z<1.9170)=0.9724

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