Question

94 Normal Probability Distributions z-scores see page 241-259 Draw the appropriate standard normal graph for each part. the z-scores to answer the following Each graph is 2 points out of 4 points each. Use colge was 159.S72 pounds, and the standard deviation the weights are normally distributed, calculate approximately how many a. Th e mean weight of 500 male stu weighed less than 170.2; pounds (Hint: Calculate the probability, for 1 student up to the next whole numb eraomy selected student then multiply by the number of students, b. Approximately how many male students weighed between 143.2 and 182.9 poun c. Approximately how many male students weighed more than 174.9 pounds?

Answer 1

Let X denote the weight of a male student. It is assumed that X~N(μ-159.572, σ-22.7) Tofind P(X < 170.2] = p IX-229. 72 < 1702 Total no of students is 500, hence approximately 500 × 0.6802 than 170.2 pounds. -1595721- PIZ < 0.4682] a) 0.6802 22.7 22.7 340 students weighed less

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