The average grade for an exam is 74, the standard deviation is 7 and the grades are curved to follow a normal distribution. Find the probability that a student will get a grade less than 81. Select one: O a. 0.6451 O b. 0.8512 c. 0.8413 d. 0.716

Q: The time taken to download a particular app has been found to be normally distributed, with an…

A:

Q: Find the probability that the weekly unemployment benefit for a person in Idaho is less than U.S.…

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Q: The proportion of men who smoke cigarettes in the US is 0.23.  A researcher took a sample of 200 men…

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Q: Find the​ z-score for the value 87​, when the mean is 82 and the standard deviation is 8. A. z=−0.96…

A: Given,mean(μ)=82standard deviation(σ)=8and the value(x)=87

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A: Given Data : Population Mean,μ = 20 Population Standard Deviation,σ = 10

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Q: A normal distribution has a mean of μ = 70 and a standard deviation of σ = 8. For each of the…

A: Given information Mean μ = 70 Standard deviation σ = 8

Q: The average weight of an adult male in one state is 172 pounds with a standard deviation of 16…

A: Given datamean=172standard deviation=16n=36

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Q: A normal distribution has a mean of 82 and a standard deviation of 3. Find the z-score for a data…

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A: Given:Mean μ=204 standard deviation σ=25.7 What is the probability that a randomly selected person…

Q: Find the standard​ deviation,σ​,for the binomial distribution which has the stated values of n and…

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Q: A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean…

A: We have given that  The ratings are normally distributed with mean 200 and standard deviation 50.

Q: Many jobs require applicants for admission to take the driving examination. Scores on the driving…

A: Given,mean(μ)=526standard deviation(σ)=113

Q: The average GPA at the University of North Carolina is 3.2, with a standard deviation of 0.3. Assume…

A: According to the provided information, Mean (μ) = 3.2 Standard Deviation (σ) = 0.3

Q: Blood pressure is distribued Normally, with a mean of 85 mm and a standard deviation of 20 mm. As a…

A: Given,mean(μ)=85standard deviation(σ)=20sample size(n)=100

Q: The mean height of Grade III pupils is 138 cm with a standard deviation of 8 cm. If a sample of 30…

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Q: Drivers pay an average of u = $690 per year for automobile insurance. The distribution of insurance…

A: Solution: Let x  be the insurance payments has normal distribution with mean μ=$690 and standard…

Q: A set of final examination grades in an introductory statistics course is normally distributed, with…

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Q: The mean gas mileage for a hybrid car is 57 miles per gallon. Suppose that the gasoline mileage is…

A: Note- Since you have posted a question with multiple sub-parts, we will solve first three sub-parts…

Q: Find the indicated probability. The incomes of trainees at tthe local mill are normally distributed…

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Q: Jay is a photographer who estimates that their time shooting for a cooking magazine is uniformly…

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Q: The length of time it takes college students to find a parking spot in the library parking lot…

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Q: The heights of adult males in the United States are approximately normally distributed. The mean…

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Q: The score obtained on a Maths exam is normally distributed, with an average score (μ) of 56 and a…

A: According to the provided information, Mean (μ) = 56 Standard Deviation (σ) = 11.25

Q: The time it takes for acrylic paint to dry follows a normal distribution. If the mean is 2 hours and…

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Q: A popular restaurant chain advertises that it delivers orders within 30 minutes. Suppose the average…

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Q: On the daily run of an express bus, the average number of passengers is 48. The standard deviation…

A: Mean = 48 Standard deviation = 3

Q: A senior high student commutes daily from home to school. The average time for a one way trip is 20…

A: Given The data is as follows: μ=20σ=4

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Q: The depth of the snow in my yard is normally distributed, with a mean of 2.5 inches and a standard…

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Q: Find the indicated probability. The incomes of trainees at a local mill are normally distributed…

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Q: The distribution of cholesterol levels in teenage boys is approximately normal with a mean of 170…

A: Given : μ = 170 σ =30 a) P(X>200) = 1-P(X≤200) P(X>200) = 1-PX-μσ≤200-17030 P(X>200) =…

Q: The volumes of soda in quart soda bottles are normally distributed with a mean of 32.3 oz and a…

A: It is given that the mean is 32.3 and standard deviation is 1.2.

Q: The time taken to download a particular app has been found to be normally distributed, with an…

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Q: what percent of the height is: a. greater than 135 cm? b. less than 128 cm? c. between 115 and 130…

A: Let X be height of the students in Grade 1 section Newton Given, Heights~Normal (μ,σ2) μ=125σ=3.5

Q: The Greenville Power Authority states that the mean monthly energy bill for their customers is $228…

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Q: A banks loan officer rates application for credit. Their ratings are normally distributed with a…

A: Mean = 200 Standard deviation = 50 Sample size, n = 40

Q: The amount of soda in a randomly selected bottle varies according to a normal distribution with mean…

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Q: The average heart rate for adults is 72 bpm with a standard deviation of 6bpm. The distribution of…

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Q: The amount of cereal in a carton is listed as 18 ounces. The cartons are filled by a machine, and…

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Q: A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean…

A: Comments: Hi! Thank you for the question, As per the honor code, we are allowed to answer one…

Q: The mean is µ = 15.2 and the standard deviation is Η = 0.9. Find the probability that X is between…

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Q: A local store has found the expected number of smooshed donuts per dozen is 0.6, with a standard…

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Q: #36 Convention Center: Exhibition Show attendance Attendance at large exhibition shows in Denver…

A: The random variable exhibition show attendance follows normal distribution. The population mean is…

Q: the heights of 200 plants in a garden follow a normal distribution with mean of 72.3 cm with a…

A: Formula : Z =(X - μ)/σ

Q: In the Standard Normal Distribution, what is the probability of getting a z-score between -.54 and…

A: We have given that a standard normal distribution with z-scores -0.54 and 1.68.

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.