The final exam scores in a Mathematics class were normally distributed with a mean of 75 and a standard deviation of 6. a) What is the probability that a randomly selected student scored between 75 and 77. b) What is the probability that a randomly selected student scored less than 74.

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A: From the given information, the mean is 63.6 and the standard deviation is 2.5.

Q: Assume that the heights of women are normally distributed with a mean of 64.1 inches And a standard…

A: Given: Population mean=μ=64.1. Population standard deviation=σ=2.3. The sample size is n=64.

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Q: the golf scres for a team were normally distributed with a mean of 95 and a standard deviation of 6.…

A: We have find givan normal distribution..

Q: what is the z-score of a value of 32 of a set A, given that the set has a mean of 24 and a standard…

A: The answer is found in step-2

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A: The given information is that the weights of ice cream cartons are distributed normally with mean…

Q: The number of crackers in a box of Crackerbox Crackers is normally distributed with a mean of 75 and…

A: The provided information is  µ=75 σ=2 P(X>76) P(X>76)=P(X-µσ>76-752)=P(z>0.5)=0.3085The…

Q: suppose that vehicle speeds at an interstate location have a normal distrubution with the mean equal…

A: Solution-: Given: μ=112km/h,σ=12.9km/h We want to find, (a) The z score for a speed of 103 km/h ?…

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A: Given data: Mean = $6.54 million Standard deviation = $10.45 million Sample size  = 73 To find: what…

Q: The reading speed of second grade students is approximately normal, with a mean 83 WPM and a…

A: Given,   Mean = 83 Standard deviation = 11

Q: At a large university, the mean amount spent by students for cell phone service is $38.90 per month…

A:

Q: A study found that the heights of college males follow a normal distribution with a mean of 70…

A:

Q: A highway study of 8000 vehicles that passed by a checkpoint found that their speeds were normally…

A: Answer - A highway study of  N = 8000 vehicles that passed by a checkpoint found that their…

Q: The City Transport and Traffic Management Office (CTTMO) study of 8000 vehicles that passed the…

A: Given,The CTTMO study of 8000 vehicles that passed the diversion highway foundMean (μ) = 61 mphand…

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: Assume that cans of Coke are filled so that the actual amounts have a mean of 12.00 oz and a…

A: Given Information :  Cans of Coke are filled so that the actual amounts have a mean of 12.00 oz and…

Q: The weights of the cereal in boxes of Kooky Krunch cereal are normally distributed, with a mean of…

A:

Q: At a customer service call center for a large company, the number of calls received per hour is…

A: Let X represent the random variable   Mean=140 SD=5   X~ Normal (140, 5^2)

Q: . In order for an engineering graduate to enroll in a master’s program, the graduate studies…

A: GivenMean(μ)=420standard deviation(σ)=100

Q: A tool company claims that the mean number of defective screws they produce per box is 72. The mean…

A:

Q: 2. The number of hours spent playing video games a week by the residents of Minneapolis has a mean…

A: Answer -  Given mean μ = 10 hours   and Standard deviation σ = 13 hours                  Sample size…

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: Given X is normal Distributed with mean µ = 57.0 and standard deviation σ = 3.5 now will using…

Q: The psychomotor retardation scores of 1500 manic depressive patients were found to be normally…

A: From the provided information, Mean (µ) = 930 Standard deviation (σ) = 130 X~N (930, 130) Here X be…

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: A 120-watt fluorescent light has an average brightness of 1986 lumens, with a standard deviation of…

A: Given that,  μ=1986,σ=94 The probability that a 120-watt fluorescent light will have a brightness…

Q: The weights of ice cream cartons are normally distributed with a mean weight of 11 ounces and a…

A: Given : μ=11 ounceσ=0.6 ounceX~N(μ=11,σ2=0.62)Let, for sample of size n,x¯~Nμx¯=μ,σx¯2=σn2

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A: Given Mean=9.12 Standard deviations=0.15

Q: 2. The average number of pages in a novel is 326 with a standard deviation of 24 pages. If a sample…

A: For a random variable X, with mean μ and standard deviation σ , the average of X =1n∑xii=1n =X¯…

Q: 1. Suppose the height of a tomato plant follows a normal distribution with a mean of 74.5…

A:

Q: A manager of a popular retail store knows that the distribution of purchase amounts by its customers…

A: GivenMean(μ)=28standard deviation(σ)=9

Q: According to a national survey of college students, the average length of an admissions essay is 624…

A:

Q: A highway study of 8000 vehicles that passed by a checkpoint found that their speeds were normally…

A: Hi! Thank you for the question As per the honour code, We’ll answer the first question since the…

Q: The heights of 9-year-old children are normally distributed, with a mean of 123 cm and a standard…

A: It is given that the mean is 123, the standard deviation is 10 and the sample size is 3.

Q: According to the U.S. Energy Administration, the mean monthly household electric bill in the United…

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

Q: the average time spent on a watching television in a state in the USA is 140 minutes the standard…

A: In question, Given that the average time spent on a watching television in a state in the USA is 140…

Q: The mean monthly rent for a one-bedroom apartment without a doorman in Manhattan is $ 2,650 . Assume…

A: Given,Meanμ=2650Standard Deviation(σ)=500Sample Size(n)=100

Q: A report in 2010 indicates that Americans between the ages of 8 and 18 spend an average of μ = 7.5…

A: Given Let X: Americans between the ages of 8 and 18 spend  hours per day using some sort of…

Q: According to government data, the probability that a woman between the ages of 25 and 29 was never…

A: Let X be the random variable of number of women that never married Given n=10 p=0.4 X ~ Binomial(10,…

Q: of 77.5 beats per minute and a standard deviation of 11.6 beats per minute. a.) What is the…

A: According to guidelines we solve first three subparts when given multiple subparts.

Q: What is the probability that a randomly selected carton has a weight greater than 9.13 ​ounces? ​(b)…

A: Let X denote the weights of ice cream cartons. Given that X follows N(mean = 9, SD = 0.5), then  Z =…

Q: According to a study done by De Anza students, the height for Asian adult males is normally…

A: Given Data Population Mean,μ = 66.0 Population Standard Deviation,σ = 2.5

Q: . The weights of ice cream cartons are normally distributed with a mean weight of 13 ounces and a…

A:

Q: The weights of ice cream cartons are normally distributed with a mean weight of 13 ounces and a…

A: From the provided information, Mean (µ) = 13 Standard deviation (σ) = 0.5 Let X be a random variable…

Q: The fracture strength of tempered glass averages 14 (measured in thousands of pounds per square…

A: a) The mean is 14 and standard deviation is 2. The probability that a randomly selected piece of…

Q: e Journal of Mid-West Management reviewed a study that showed startingmsalaries for accounting…

A: Given: Mean = 22510 Standard deviation = 2250

Q: The height of women in the United States is normally distributed with a mean of 165 cm and standard…

A: The normal distribution has curve with bell shape and it is symmetric about the mean. The normal…

Q: An audit finds that the dollar amounts of invoices have a mean of $1,662 anda standard deviation of…

A: Note : Since you have asked multiple questions, we will solve the first question for you. If you…