A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 122.7-cm and a standard deviation of 0.5-cm. Find the probability that the length of a randomly selected steel rod is between 122.8-cm and 123.2-cm.

Exam scores of a stat distribution are normally distributed with a mean of 70 and a standard deviation of 10. a) If the professor wants to give A's to the top 10% of the students, what should be the cutoff point for an A? b) If there are 9 students in the class, what is the probability that the average score would be more than 75?

ople who exercise frequently tend to have lower resting heart rates. The mean resting heart rate for adults is 65 BPM (beats per minute). The standard deviation is 7 BPM. Resting heart rate is approximately nor- mally distributed (bell-shaped). (a) What is the probability of randomly selecting an adult with a resting heart rate greater than 65 BPM? (b) What is the probability of randomly selecting an adult who has resting heart rate less than 58 BPM? (c) What is the probability of randomly selecting an adult who has a heart rate between 60 BPM and 70 BPM? (d) Would you consider it umusual for a person to have a heart rate higher than 84 BPM? Why or why not? (e) Serious athletes often have very low resting hcart rates. How low must a per- son's hear rate be if it is lower than approximately 95% of the population?

6) Assume that the heights of men are normally distributed with a mean of 68.0 inches and a standard deviation of 3.5 inches. If 100 men are randomly selected, find the probability that they have a mean height greater than 69 inches.

The number of pizzas consumed per month by university students is normally distributed with a mean of 11 and a standard deviation of 4. A. What proportion of students consume more than 14 pizzas per month? Probability = B. What is the probability that in a random sample of size 10, a total of more than 100 pizzas are consumed? (Hint: What is the mean number of pizzas consumed by the sample of 10 students?) Probability =

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The number of pizzas consumed per month by university students is normally distributed with a mean of 7 and a standard deviation of 3. A. What proportion of students consume more than 8 pizzas per month? Probability = B. What is the probability that in a random sample of size 11, a total of more than 99 pizzas are consumed? (Hint: What is the mean number of pizzas consumed by the sample of 11 students?) Probability =

We are examining farmer production in marginal land. A sample of 100 farmers produce this crop with mean of 100 bushels per acre. Assume a normal distribution. Q1: What is the probability an individual farmer in this population produces 103 or less bushels of corn?Q2: What is the probability the mean bushels of corn produced is 103 or less bushels of corn?

The mean cost of domestic airfares in the United States rose to an all-time high of $385 per ticket. Assume domestic airfares are normally distributed with a standard deviation of $110.(1) What is the probability that a domestic airfare is $550 or more? 2) What is the probability that a domestic airfare is $250 or less?3) What is the probability that a domestic airfare is between $300 and $500? 0.6325(4) What is the cost for the 3% highest domestic airfares?