Note: Answer Questions 1-4 by Using the TI-30XA (or other approved) Calculator.

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Note: Answer Questions 1-4 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 Suppose you wanted to evaluate the performance of the three judges in Smallville, Texas: Judge Adams, Judge Brown, and Judge Carter. Over a three-year period in Smallville, Judge Adams saw 23% of the cases, Judge Brown saw 32% of the cases, and Judge Carter sa the remainder of the Case 4 0 udge Adams cases were appealed, 7% of Judge Brown's cases were appealed, and 9% of Judge Carter's cases were appealed. See the case problem on pages 2, 23 of you, te bo a similar problem.) Question1 Given the judge in a case from this three-year period was not Judge Brown, what is the probability the case was not appealed? Of 46 bank accounts at a small bank, 27 accounts have values of less than $1,000 and the rest have values of at least $1,000. Suppose 5 accounts are randomly sampled (See exercise 9 on page 189 of your textbook for a similar problem.) Question 2 What Is the probability that exactly 4 of the 5 accounts have values of at least $1,000? ABC Manufacturing has a policy that it will reject a shipment of parts from its supplier if inspectors find any defective parts in a random sample of 6 parts from the shipment. The supplier has been in business many years and has a long-term defective rate for parts of 2.8% Question 3 What is the probability that a shipment will be rejected after a given sample of parts is checked?

Explanation / Answer

Judge A saw 23% cases, B saw 32% C saw 55%. 4%,7%and 9% were appelaed resp.

Give it was not judge B what is the Prob. case wase not appelead

P(not appealed|not B) = P(not appealed | A or C)

= (0.96*0.23+0.91*0.55)/(0.23+0.55) = 0.925

PS : We are directed to solve only the first question when multiple questions are posted

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