The amount of time required for a mechanic to replace a clutch is normally distributed with mean 90 minutes and standard deviation of 15 minutes. A car is taken to the mechanic to have its clutch replaced. (a) Find the probability that the car will be ready in two hours. (b) Find the probability that the car will not be ready after 80 minutes. (c) Find the probability that the car is ready in between 85 to 95 minutes.

Q: 2. A nurse supervisor has found that staff nurses, on the average, complete a certain task in 10…

A: Given : mean = 10 standard deviation = 3

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Q: A computer instructor found out that on average, his students complete their modules in 120 hours…

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A: From the provided information, Mean (µ) = 65 Standard deviation (σ) = 0.8 Let X be a random variable…

Q: A nurse supervisor has found that staff nurses, on the average, complete a certain task in 10…

A: Given μ=10σ=3

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Q: A manufacturer knows that their items have a normally distributed length, with a mean of 10 inches,…

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Q: The average credit card debt for college seniors is $ 3262. If the debt is normally distributed with…

A: Solution: Let X be the debt. From the given information, X follows normal distribution with mean…

Q: A machine at Katz Steel Corporation makes 5-inch-long nails. The probability distribution of the…

A: Xi : length of the ith nail. Given that Xi ~ N(5,0.512) So, sample mean, X ~ N(5,0.512/114)

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 18 inches,…

A: Let X be the random variable from normal distribution with mean (μ) = 18 inches and standard…

Q: The mean height of male college students in a large city is 68 inches and the standard deviation is…

A: Solution

Q: The diameter of the dot produced by a printer is normally distributed with a me 0.002 inch and a…

A: Given data,Mean μ=0.002sd     σ=0.0004

Q: manufacturer knows that their items have a normally distributed length, with a mean of 15.6 inches,…

A: Provided information is, a manufacturer knows that their items have a normally distributed length…

Q: The amount of time that sales managers devote to their jobs per week is normally distributed with a…

A: Given: The mean amount of times that sales managers devote to their jobs per week is μ=55 hours. The…

Q: Females have pulse rates that are normally distributed with a mean of μ=76.0 beats per minute and a…

A: Let X be a continuous random variable of pulse rates of females (beats per minute) is normally​…

Q: Assume that females have pulse rates that are normally distributed with a mean of 75.0 beats per…

A:

Q: An electrical firm manufactures incandescent light bulbs that have a length of life (in hours) that…

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Q: An elevator has a placard stating that the maximum capacity is 2430 lb-15 passengers. So, 15 adult…

A: μ = 171 , σ= 32 , n=15z =x -μσn ∧ N (0,1)

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 length of hair of a male private in the army is normally distributed with a mean of 1 cm and a…

A: Solution: Let X be the length of hair of a male private in the army. From the given information, X…

Q: The amount of time that sales managers devote to their jobs per week is normally distributed with a…

A: Given: μ=54σ=5n=30 a. The probability that randomly selected sales manager works for more than 55…

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A:

Q: The average age of bank managers is 40 years old. Assume the variable is normally distributed, If…

A: Given the average age of bank managers is 40 years old. Assume the variable is normally distributed,…

Q: find the probability that the average weight of a student from the drawn sample will be less than 70…

A:

Q: The average cholesterol content of a certain brand of eggs is 210 milligrams, and the standard…

A: Hey, since the question is not specified correctly. Here we are finding the probability that mean…

Q: The line width for semiconductor manufacturing is assumed to be normally distributed with a mean of…

A: Given : Mean (μ)  = 1.5  Standard Deviation (σ) = 0.15

Q: The weights of ice cream cartons are normally distributed with a mean weight of 9 ounces and a…

A: GivenMean(μ)=9standard deviation(σ)=0.3

Q: The time taken to complete a maths exam is normally distributed with a mean of 108 minutes and a…

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: at their items have a normally distributed length, with a mean of 16.8 inches, and standard…

A: According to the sum, A manufacturer knows that its items have a normally distributed length, with a…

Q: A machine at Katz Steel Corporation makes 5-inch-long nails. The probability distribution of the…

A: Given that: The probability distirubution of the lengths of these nails is approximately normal with…

Q: An elevator has a placard stating that the maximum capacity is 2490 lb-15 passengers. So, 15 adult…

A: Let "" be the mean weight of the elevator.

Q: The time needed to complete a final examination in a particular college course is normally…

A: Given : Mean , μ = 80 min Standard deviation , σ = 10 minutes The distribution is Normal    a)  Here…

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A:

Q: When the individual weight of a parcel (500 pieces) of oranges was measured, it was observed that…

A: Given, Mean, mu= 200 Standard deviation, sigma= 25 X~N(200,25)  And n= 10/2 = 5  P(X<=150)

Q: The weight of people in a small town in Missouri is known to be normally distributed with a mean of…

A: Mean = 180 Standard deviation = 28 Sample size, n = 40

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 5 inches,…

A:

Q: f 12 items are chosen at random, what is the probability that their mean length is less than 11.4…

A: Items have normally distributed length with mean 11.6 inches and standard deviation as 2.1 inches. X…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 20 inches,…

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A: Given information- Population mean, µ = 83 minutes Population standard deviation, σ = 13 minutes…

Q: The time needed to complete a final examination in a particular college course is normally…

A:

Q: An elevator has a placard stating that the maximum capacity is 2460 lb-15 passengers. So, 15 adult…

A: We have to find probability  of  overloaded  mean ..

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Q: | The mean annual income of a worker in a certain professional category is 7) $40,000, with a…

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Q: The lengths of a particular animal's pregnancies are approximately normally distributed with a mean…

A: Given  Mean = 275 days  Standard deviation = 20 days

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A: It is given that a machine is normally distributed with the mean weight of the items is 8 ounces and…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.