Find the probability of the following: **(use 4 decimal places)** a.) The probability that one student chosen at random scores above an 78. ________ b.) The probability that 20 students chosen at random have a mean score above an 78. _________ c.) The probability that one student chosen at random scores between a 68 and an 78. __________ d.) The probability that 20 students chosen at random have a mean score between a 68 and an 78. __________

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A: Denote X as the Sat-I test score. It is given that X is normally distributed, with mean μ = 509 and…

Q: A score of is 3 standard deviations above the mean.

A: Let , X→N(μ=140 , σ=28) Our aim is to find the score 3 standard deviation above mean

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ= 105 and a standard…

A: given data normal distributionμ = 105σ = 15p(X<129) = ?

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A: The given information is:The number of trials is The success of probability

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Q: Solve each problem. 1. The following table shows the scores of 45 students in a quiz. 5. 3 Score 1.…

A: NOTE: As per the guidelines, we are supposed to solve only 1 question. Please repost other questions…

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ= 105 and a standard…

A: given data,normal distribution μ=105σ=15probabilty that selected asults has an IDQ score less than…

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A: GivenMean(μ)=77.6standard deviation(σ)=3.4

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A: The table shows the distribution for the number of major hurricanes.

Q: Next question Assume that adults have IQ scores that are normally distributed with a mean of µ = 105…

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Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard…

A: Let "X" be the IQ score of the adults.

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Q: Male Data in inches 68 67.7 65.5 68.1 72.5 65.4 71.2 67.7 62.5 73.5 65.1 65.3 65.5 72 73.2 77.2 70.5…

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Q: The amount of annual snowfall in a certain mountain range is normally distributed with a mean of 70…

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A: Given: mean μ=75 Standard deviation σ=10.6

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A: Given that, Mean (m)=120 Standard deviation (sd) = 33 The mileage per day is distributed normally.…

Q: The time spent waiting in the line is approximately normally distributed. The mean waiting time is 5…

A: given data,normal distribution μ=5σ=3probability that person will wait more than 9 minutes =?

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A: Given that, μ=100σ=19 Let X denote the mileage per day and it follows normal distribution. That is,…

Q: Nielsen Company the mean number of TV sets in a US Household in 2013 was 2.24. Standard deviation is…

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Q: The weights of newborn baby boys born at a local hospital are believed to have a normal distribution…

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A: Given: Mean μ=78 Standard deviation σ=6 A student is selected at random.

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Q: A soft drink machine outputs a mean of 29 ounces per cup. The machine's output is normally…

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Q: Using scores for grades. At one university, the stademts are given z-scores Z end of each semester…

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Q: . sample mean x̄ ____________ B. sample standard deviation

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Q: A collection of medical scores is Normal with Mean of 50 and Standard Deviation of 10; that is N(50,…

A: Given data,μ=50σ=10Bertha’s score is 47.56  and Biff’s score is  56.82. P(47.56<X<56.82)=?

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Q: A collection of numbers is Normal with a Mean of 20 and a Standard Deviation of 5; that is N(20,5).…

A: Given information: A collection of numbers has a Normal distribution. Mean μ=20 Standard deviation…

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Q: Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed…

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Q: A population has a mean of and standard deviation of 12. A sample of 36 observations will be taken .…

A: Given, A population has a mean of 84 and a standard deviation of 12. A sample of 36 observations…

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard…

A: given data normal distriutionμ= 105σ = 15P(90<x<120) = ?