Ryh46 Essay

1456 Words6 Pages
1. If Z is a standard normal variable, find the probability. The probability that Z lies between 0 and 3.01 A) 0.1217 B) 0.4987 C) 0.9987 D) 0.5013 2. If Z is a standard normal variable, find the probability. The probability that Z is less than 1.13 A) 0.8907 B) 0.8708 C) 0.1292 D) 0.8485 3. If Z is a standard normal variable, find the probability. The probability that Z is greater than -1.82 A) 0.9656 B) 0.0344 C) 0.4656 D) -0.0344 4. Assume that X has a normal distribution, and find the indicated probability. The mean is μ = 22.0 and the standard deviation is σ = 2.4. Find the probability that X is between 19.7 and 25.3. A) 1.0847 B) 0.7477 C) 0.4107 D) 0.3370 5. Assume that X has a normal distribution, and find the indicated probability. The mean is μ = 15.2 and the standard deviation is σ = 0.9. Find the probability that X is greater than 17. A) 0.9821 B) 0.9713 C) 0.0228 D) 0.9772 6. Find the indicated probability. The diameters of bolts produced by a certain machine are normally distributed with a mean of 0.30 inches and a standard deviation of 0.01 inches. What percentage of bolts will have a diameter greater than 0.32 inches? A) 47.72% B) 2.28% C) 37.45% D) 97.72% 7. Find the indicated probability. The weekly salaries of teachers in one state are normally distributed with a mean of $490 and a standard deviation of $45. What is the probability that a randomly selected teacher earns more than $525 a week? A) 0.2823 B) 0.7823 C) 0.2177 D) 0.1003 8. Solve the problem. The scores on a certain test are normally distributed with a mean score of 48 and a standard deviation of 3. What is the probability that a sample of 90 students will have a mean score of at least 48.3162? A) 0.3174 B) 0.3413 C) 0.1587 D) 0.8413 9. Use the continuity correction and describe the region of the normal curve that

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