Alpha Corporation is considering two suppliers to secure the large amounts of steel rods that it uses. Company A produces rods with a mean diameter of 8 mm and a standard deviation of .15 mm and sells 10,000 rods for $400. Company B produces rods with a mean diameter of 8 mm and a standard deviation of .12 mm and sells 10,000 rods for $460. A rod is usable only if its diameter is between 7.8 mm and 8.2 mm. Assume that the diameters of the rods produced by each company have a normal distribution. Which of the two companies should Alpha Corporation use as a supplier? Justify your answer with appropriate calculations.
Answer to relevant QuestionsA gambler is planning to make a sequence of bets on a roulette wheel. Note that a roulette wheel has 38 numbers, of which 18 are red, 18 are black, and 2 are green. Each time the wheel is spun, each of the 38 numbers is ...Refer to Exercise 6.98. In that exercise, suppose the mean is set to be 8 ounces, but the standard deviation is unknown. The cups used in the machine can hold up to 8.2 ounces, but these cups will overflow if more than 8.2 ...Find the area under the standard normal curve a. To the right of z = 1.36 b. To the left of z = –1.97 c. To the right of z = –2.05 d. To the left of z = 1.76 Obtain the following probabilities for the standard normal distribution. a. P(z > –.98) b. P(–2.47 < z < 1.29) c. P(0 < z < 4.25) d. P(–5.36 < z < 0) e. P(z > 6.07) f. P(z < –5.27) Let x be a continuous random variable that is normally distributed with a mean of 25 and a standard deviation of 6. Find the probability that x assumes a value a. between 29 and 36 b. between 22 and 35
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