1. The waiting time at a bus stop is uniformly distributed between 1 and 12 minute. a. What is the probability density function? b. What is the probability that the rider waits 8 minutes or less? c. What is the expected waiting time? d. What is standard deviation of waiting time?

Show all work, including calculator commands 1. The annual per capita consumption of canned vegetables by people in the United States is normally distributed, with a mean of 39 pounds and a standard deviation of 4 pounds. (round to 4 decimal places) a. What is the probability that one randomly selected person consumes more than 42 pounds of canned vegetables? (round to 4 decimal places) b. How many pounds of canned vegetables would a person need to consume to be in the top 5% of annual consumption? (2 decimal places) Determine the probability that a random sample of 25 people has a mean consumption greater than 42 pounds (round to 4 decimal places)

Motorola used the normal distribution to determine the probability of defects and the number of defects expected in a production process. Assume a production process produces items with a mean weight of 8 ounces. a. The process standard deviation is 0.10, and the process control is set at plus or minus 2 standard deviations. Units with weights less than 7.8 or greater than 8.2 ounces will be classified as defects. What is the probability of a defect (to 4 decimals)?   In a production run of 1000 parts, how many defects would be found (to the nearest whole number)?   b. Through process design improvements, the process standard deviation can be reduced to 0.08. Assume the process control remains the same, with weights less than 7.8 or greater than 8.2 ounces being classified as defects. What is the probability of a defect (to 4 decimals)?   In a production run of 1000 parts, how many defects would be found (to the nearest whole number)?   c. What is the advantage of reducing process…

The tread life of Road Stone tires has a normal distribution with a mean of 35,000 miles and a standard deviation of 4,000 miles. a. What proportion of these tires has a tread life of more than 38,000 miles? b. What proportion of these tires has a tread life of less than 32,000 miles? c. What proportion of these tires has a tread life of between 32,000 and 38,000 miles? d. Draw a graph of the probability density function of tread lives, illustrating why the answers to parts (a) and (b) are the same and why the answers to parts (a), (b), and (c) sum to 1.

Motorola used the normal distribution to determine the probability of defects and the number of defects expected in a production process. Assume a production process produces items with a mean weight of 11 ounces. a. The process standard deviation is 0.10, and the process control is set at plus or minus 1 standard deviation. Units with weights less than 10.9 or greater than 11.1 ounces will be classified as defects. What is the probability of a defect (to 4 decimals)? In a production run of 1,000 parts, how many defects would be found (to the nearest whole number)? b. Through process design improvements, the process standard deviation can be reduced to 0.05. Assume the process control remains the same, with weights less than 10.9 or greater than 11.1 ounces being classified as defects. What is the probability of a defect (to 4 decimals)? In a production run of 1,000 parts, how many defects would be found (to the nearest whole number)? c. What is the advantage of reducing process…

A normal distribution with a mean of O and a standard deviation of 1 is called O a probability density function. O a standard normal distribution. O an ordinary normal curve. none of the other statements is correct.