A) The diameters of pencils produced by a certain machine are normally distributed with a mean of 0.30 inches and a standard deviation of 0.01 inches. What is the probability that the diameter of a randomly selected pencil will be between 0.21 and 0.29 inches?
B) The diameters of pencils produced by a certain machine are normally distributed with a mean of 0.30 inches and a standard deviation of 0.01 inches. What is the probability that the diameter of a randomly selected pencil will be less than 0.301 inches?
A) The diameters of pencils produced by a certain machine are normally distributed with a mean...
Question 7 20 pts 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 is the probability that a randomly selected bolt will have a diameter greater than 0.32 inches? (write your answer rounded to 4 decimal places) 0.0228 Question 15 20 pts Use the given data to find the equation of the regression line. Round the final values to three places, if necessary...
CShowe work and write theanswer) (8) The diameters of bolts produced by a certain machine are normally distributed with a mean of oceo inches and a standard deviation of 0.01 inches ca) what percentage (probability of bolts will have a diameter between 0.597 and 0.0003 inches Cb) if 25 bolts are randomly selected, what is the probability that the average of their diameters (X) will be between 0.597 and 0.603 inches?
4 . A machine makes spherical balls. Diameters X are normally distributed with mean 240.0 mm and standard deviation 3.0 mm. Another machine, working independently, makes sockets with diameters Y that are normally distributed with mean 249.0 mm and standard deviation 4.0 mm. A ball will fit into the socket only if ; otherwise the ball is too big for the socket. Define the “gap” to be the difference between the socket diameter and the ball diameter. Therefore a ball...
1) We know that z has a standard normal distribution with a mean of 0 and standard deviation of 1. The probability that z is less than 1.15 is . Use your z-table and report your answer to four decimal places. 2)A sample of 15 grades from a recent Stats exam has a mean of 69.3 points (out of a possible 100 points) and a standard deviation of 16.5 points. Calculate the z-score for the student who scored 74.1 points on...
The weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation of 2 ounces. Refer to Exhibit 6-5. What is the probability that a randomly selected item will weigh more than 12 ounces? The Probability is
The lengths of lumber a machine cuts are normally distributed with a mean of 89 inches and a standard deviation of 0.3 inches. (a) What is the probability that a randomly selected board cut by the machine has a length greater than 89.11 inches? The probability is _____? (Round to four decimal places as needed.) (b) A sample of 42 boards is randomly selected. What is the probability that their mean length is greater than 89.11 inches? The probability is...
Exhibit 6-5 The weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation of 2 ounces. Refer to Exhibit 6-5. What is the probability that a randomly selected item will weigh more than 10 ounces?
The diameters of ball bearings are distributed normally. The mean diameter is 99 millimeters and the standard deviation is 5 millimeters. Find the probability that the diameter of a selected bearing is greater than 109 millimeters. Round your answer to four decimal places.
The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.943 g and a standard deviation of 0.301 g. Find the probability of randomly selecting a cigarette with 0.642 g of nicotine or less. P(X < 0.642 g) =
A. The amount of snowfall in a certain mountain range is normally distributed with a mean of 91 inches and a standard deviation of 15 inches. What is the probability that the mean annual snowfall during 64 randomly chosen years will exceed 93.8 inches? Is this a rare event? B. Assume that the population of human body temperatures has a mean of 98.6° F, and standard deviation is 0.62° F. If 106 people are randomly selected for evaluation, what is...