Two machines at a factory are supposed to produce 50 mm nails. The lengths of nails from Machine A are normally distributed with a mean of 50 mm and a standard deviation of 2 mm while Machine B has been calibrated to produce nails according to a normal distribution with a mean length of 49.5 mm and standard deviation 1 mm. Two nails, one from Machine A and another from Machine B are randomly selected. What is the probability that a nail produced by Machine B is longer than one produced by Machine A?

Q: find the probability that their lengths of pregnancy have a mean that is less than 260 days.

A: Let M denote the mean length of pregnancies for the same of size n = 25.

Q: Calculators from Caseo Company and Sharpy Company has a mean life span that is normally distributed.…

A: The mean life spans of calculators from Caseo Company and Sharpy Company are normally distributed.…

Q: The percent of fat calories that a person in a city consumes daily is normally distributed with a…

A:

Q: A particular fruit's weights are normally distributed, with a mean of 710 grams and a standard…

A: Let X be the random variable from normal distribution with mean (μ) = 710 and standard deviation (σ)…

Q: The plasticity of a polyethelene is affected the concentration of a solution. When low concentration…

A: The z score formula to find the difference between two means is defined by…

Q: Two students are throwing water balloons at a target. Accuracy is measured as how close the balloon…

A: From the given information, Let X be the Tory's distance from the center of the target follows…

Q: A quart of Parker's milk contains a mean of 42 grams of butterfat, with a standard deviation of 2.5…

A:

Q: A particular fruit's weights are normally distributed, with a mean of 749 grams and a standard…

A:

Q: the weight of a batch of strawberry jam manufactured in a particular factory is normally distributed…

A: Given data The weight of a strawberry jam at a particular factory are normally distributed with mean…

Q: The waiting times for the drive-through at McDonald's are normally distributed with a mean of 138.5…

A: Population mean =138.5  Standard deviation =29  We have to find  a...The middle 95% of cars in the…

Q: he weights of toilet paper rolls are normally distributed with a mean of 7 ounces and a standard…

A: mu = 7 s = 0.6

Q: The length of a manufactured pole is normally distributed with a mean of 530 cm and a standard…

A:

Q: The mean time for a group of adults to complete a certain achievement test is 38.8 minutes and the…

A:

Q: A particular fruit's weights are normally distributed, with a mean of 635 grams and a standard…

A:

Q: The number of turns of a pencil sharpener needed to sharpen a brand W pencil is approximately…

A: Answer 1 : approximately 0

Q: 40 grams. If you pick 14 fruit at random, what is the probability that their mean weight will be…

A: Population mean μ=526, standard deviations σ=40, n=sample size=14, P(490<x̄<494)=? Note: This…

Q: The height of the dogs in a pet shop is normally distributed with the average height of 25 cm and…

A: The data is normally distributed. Population mean is μ=25. Population standard deviation is σ=15.

Q: The average number of pounds of red meat a person consumes each year is 196 with a standard…

A: We are given,μ = 196σ = 22n = 60

Q: A certain company breaks down their metal and distributes them as pellets to their customers. Their…

A: Let- sample size is given to be 2. To find- Now, by properties of sampling-

Q: There is a large supply of light bulbs with the average life of 900 hours and the standard deviation…

A: It is given that the mean is 900 hours and the standard deviation is 60 hours.

Q: An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots…

A:

Q: An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots…

A: Given data An engineer is going to redesign an ejection seat for an air plane . The seat was…

Q: Tom works for a fruit company and found that the weights of pineapples are normally distributed with…

A:

Q: When women were finally allowed to become pilots of fighter jets, engineers needed to redesign the…

A: We want to find the probability  P(140<X<181)=?

Q: The medical records of infants delivered at the Kaiser Memorial hospital show that the…

A:

Q: An engineer is going to redesign an ejection seat for an airplane . The seat was designed pilots…

A: (a)   Obtain the probability that his weight is between 120 lb and 161 lb. The probability that…

Q: what is the probability that the bottle contains more than 11.5 ounces

A:

Q: The mean amount purchased by each customer on non-medical mask at Chopper Drug Mart is 23 dollars…

A: From given,Mean = μ = 23Standard deviation = σ = 5Sample size = n = 50We have to find the…

Q: The sugar content of 12-ounce cans of COKE is normally distributed with a mean of 37 grams and a…

A: Given that, Mean = 37 Standard deviation = 10

Q: It is known that the weights of mangoes harvested in a farm are normally distributed with a mean of…

A:

Q: The height of 10 year old females is normally distributed with a mean of 54.8 inches and a standard…

A: It is given that mean and standard deviation are 54.8 inches and 2.74 inches, respectively.

Q: A company that owns a fleet of cars for its sales has found that the service lifetime of disc brake…

A:

Q: If the weights of sheep are considered normally distributed with a mean of 60 kg and a standard…

A: let  x is defined as the weights of sheep are considered normally distributed with a mean of 60 kg…

Q: The Centers for Disease Control report that the total cholesterol levels for women, age 20-29, are…

A: Given, Mean = 183 Standard deviation = 37.2 Sample size = 30   The objective to is find the…

Q: According to data from the U.S. Army the average foot length of women as normally dis-tributed with…

A: It is given that the mean is 9.6 and the standard deviation is 0.5.

Q: An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots…

A: normal distribution μ = 145σ = 27.5n = 39P(140<X¯<191) = ?

Q: An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots…

A: Given information- Population mean, μ = 148 lb Population standard deviation, σ = 30.8 lb Sample…

Q: There is a large supply of light bulbs with the average life of 1000 hours and the standard…

A: Given that the average life of 1000 hours and the standard deviation of 50 hours. 1) T he…

Q: According to a survey, the average weight of NFL players is 254 lbs. with a standard deviation of 44…

A: From the provided information, Mean (µ) = 254 Standard deviation (σ) = 44 X ~N (254, 44) Here X be a…