1. (2 points) If X is normally distributed random variable with mean u = 25 and standard deviation o = 3, then P(X > 28) is a) 0.7486 b) 0.8413 c) 0.3413 d) 0.1587 2. (2 points) If Z is a standard normal variable, the P(Z 2) is a) 0.1587 b) 0.0228 c) 0.8185 d) 0.1815 3. (2 points) A local bank finds that the balances in saving accounts for students are normally distributed with mean u = 500 dollars and standard deviation o = 50 dollars. The probability that a randomly selected account will have a balance of more than 575 dollars is a) 0.4332 b) 0.0668 c) 0.9332 d) 0.8664 4. (2 points) The lifetime of a certain brand of tire is normally distributed with an average lifetime u = 50,000 miles and standard deviation o = 8,400 miles. The probability that a randomly selected tire will last beyond 53,000 miles is a) 0.6406 b) 0.1406 c) 0.2812 d) 0.3594 5. (2 points) The waiters in a restaurant receive an average tip of 25$ per table with a standard deviation of $5. The amount of the tip is normally distributed. The waiter feels that he/she has provided excellent service if the tip is more than $30. Based on this criterion for excellent service, the probability that a waiter has provided excellent service is a) 0.1587 b) 0.8413 c) 0.3174 d) 0.4413 6. (2 points) Suppose that monthly incomes in a community are normally distributed with a mean of $1,200 and standard deviation of $600. If a family in the community is selected at random, the probability that their income is between $1,000 and $2,050 is a) 0.4477 b) 0.7001 c) 0.4222 d) 0.5523 7. (2 points) The heights of a high school female soccer players are normally distributed with mean of 62 inches and standard deviation of 6 inches. If a female player is selected at random, the probability that her height is more than 70 inches is a) 0.1836 b) 0.0912 c) 0.4082 d) 0.9088 8. (2 points) The score of a standardized test are normally distributed with mean 400 and standard deviation of 100. If a certain university will only consider applicants with scores in the upper 5%, what is the minimum score required for consideration at this university? a) 450 b) 500 c) 564 d) 600 9. (2 points) A random variable X follows normal distribution with standard deviation of 3. If P(X 28) is a) 0.7486 b) 0.8413 c) 0.3413 d) 0.1587 2. (2 points) If Z is a standard normal variable, the P(Z 2) is a) 0.1587 b) 0.0228 c) 0.8185 d) 0.1815 3. (2 points) A local bank finds that the balances in saving accounts for students are normally distributed with mean u = 500 dollars and standard deviation o = 50 dollars. The probability that a randomly selected account will have a balance of more than 575 dollars is a) 0.4332 b) 0.0668 c) 0.9332 d) 0.8664 4. (2 points) The lifetime of a certain brand of tire is normally distributed with an average lifetime u = 50,000 miles and standard deviation o = 8,400 miles. The probability that a randomly selected tire will last beyond 53,000 miles is a) 0.6406 b) 0.1406 c) 0.2812 d) 0.3594 5. (2 points) The waiters in a restaurant receive an average tip of 25$ per table with a standard deviation of $5. The amount of the tip is normally distributed. The waiter feels that he/she has provided excellent service if the tip is more than $30. Based on this criterion for excellent service, the probability that a waiter has provided excellent service is a) 0.1587 b) 0.8413 c) 0.3174 d) 0.4413 6. (2 points) Suppose that monthly incomes in a community are normally distributed with a mean of $1,200 and standard deviation of $600. If a family in the community is selected at random, the probability that their income is between $1,000 and $2,050 is a) 0.4477 b) 0.7001 c) 0.4222 d) 0.5523 7. (2 points) The heights of a high school female soccer players are normally distributed with mean of 62 inches and standard deviation of 6 inches. If a female player is selected at random, the probability that her height is more than 70 inches is a) 0.1836 b) 0.0912 c) 0.4082 d) 0.9088 8. (2 points) The score of a standardized test are normally distributed with mean 400 and standard deviation of 100. If a certain university will only consider applicants with scores in the upper 5%, what is the minimum score required for consideration at this university? a) 450 b) 500 c) 564 d) 600 9. (2 points) A random variable X follows normal distribution with standard deviation of 3. If P(X