INFORMATION A team of product testing engineers has established that the lifespan of an XXX™ brand of digital smartwatch is normally distributed, with a mean of 60 months and the standard deviation of 10 months. According to the manufacturer's policy, any XXX™ smartwatch malfunctioning within 43 months of purchase will be replaced with a new one. QUESTION 10 (4 Marks) What is the probability that a recently purchased XXX™ digital smartwatch will last between 40 months and 85 months? A. 0.8867 B. 0.9710 C. 0.7848 D. 0.9290
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We do this by subtracting the mean and dividing by the standard deviation. For 40 months, the standardized value (Z-score) is (40-60)/10 = -2. For 85 months, the standardized value is (85-60)/10 = 2.5. Show more…
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