In the Standard Normal Distribution, what is the probability of getting a z-score between -.54 and 1.68? Write both your answer and your Excel formula here.

Q: The average national SAT score (for Verbal and Math) is 1028. If we assumed a normal distribution…

A: Given that, Mean = 1028 Standard deviation = 92

Q: hat is the Normal Distribution Probability where X is more than 268.66 for a mean of 145, and…

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Q: The annual per capita consumption of bottled water was 33.3 gallons. Assume that the per capita…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: What is the standard deviation for a binomial distribution with p = 0.6 and n = 42? Report your…

A:

Q: The bottom 10% of a normal distribution is below what z-score?

A: Our aim is to find the Z-score.

Q: A normal distribution has a mean of μ =64 and a standard deviation of σ = 8. What is the probability…

A: Obtain the standard z-score for the random variable M equals 72 The standard z-score for the random…

Q: Using the standard Normal Distribution table, what is the probability of scoring above a z-score of…

A: Given Probability of scoring a z score of +0.61

Q: Historically, about 51% of the babies born in the US are boys. A survey plans to study 650 randomly…

A: The sampling distribution of sample proportions is a normal distribution with mean equal to the…

Q: In a math test the scores of a class of students follow approximately the normal distribution with a…

A: Let X=the math test scores Given that X follows a normal distribution with mean=75 and standard…

Q: What proportion of a normal distribution is located between z= -2.00 and z = 2.00?

A: Draw the normal curve and shade the area between z=-2.00 and z=-2.00.

Q: A local sports magazine reports the mean length of a baseball game to be 175.9 minutes with a…

A:

Q: For normal distribution with a mean of 278 and a standard deviation of 25, what is the Z value for a…

A:

Q: The average national SAT score (for Verbal and Math) is 1028. If we assumed a normal distribution…

A: 90th percentile score: P(X≤a)=90%PX-μσ≤a-μσ=0.90Pz≤a-102892=0.90a-102892=1.2816, from the excel…

Q: A normal distribution is observed from the number of rentals per week for a certain car rental…

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Q: For a binomial distribution, the mean is 6 and the standard deviation is 2. Write out all the terms…

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Q: The mean score for a test is 87 with a standard deviation of 12.  Assuming a normal distribution for…

A: Given,mean(μ)=87standard deviation(σ)=12

Q: you have a normal distribution with a mean of 930 and a standard deviation of 130 and 20 were…

A: It is given that the scores follows normal distribution with mean 930 and standard deviation 130.…

Q: A normal distribution has a mean of μ =72 and a standard deviation of σ = 8. What is the probability…

A: Given, μ=72σ=8n=36M=x=72

Q: If you were to use the normal approximation for the binomial distribution with probability of…

A: From the provided information, The probability of success = p Number of trials = n

Q: the time it takes a student to complete the statistics exam follows a normal distribution with a…

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Q: what is the probability that z is less than -0.21 or greater than the mean?

A: We want to find the probability that z is less than -0.21 or greater than the mean.

Q: In a normal distribution, mean is 60 and standard deviation is 5. How many of the cases have scores…

A: The probability between two specific numbers a and b in a normal distribution with mean μ and…

Q: In Turkey, the time devoted to the sport of university students for 30 minutes daily. average and 3…

A: Since you have asked question with multiple sub parts, we will solve first 3 sub parts for you. To…

Q: Using a Standard Normal Distribution table, what is the probability of scoring below a z-score of…

A: Solution

Q: A normal distribution has a mean 80 and standard deviation is 10. What is the probability of…

A: Given:    µ = 80     σ = 10

Q: Aaliyah is 74 years old. Based on a normal distribution with mean 47.8 and standard deviation 12.6,…

A: GivenAaliyah is 74 years oldx=74Mean(μ)=47.8standard deviation(σ)=12.6

Q: Find the probability that an observation taken from a standard normal population will be more than…

A: We have to find given probability..

Q: In a Scrabble tournament, the scores were normally distributed and the mean score was 420.2 points…

A:

Q: Teachers in a city have a normal distribution with an average weekly salary of $ 490 and a standard…

A: Let X denote the teachers in a city and it follows normal distribution with an average weekly salary…

Q: What is the probability of randomly selecting a zscore less than z = - 1.25 from a normal…

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Q: Using the Standard Normal Distribution table, what is the probability of scoring above a z-score of…

A: The provided information are: z score=-2.44 To calculate the  probability above z score:…

Q: The mean of a normal probability distribution is 600; the standard deviation is 20. About 95% of…

A: GivenMean(μ)=600standard deviation(σ)=20

Q: If 200 scores a taken at random from a normal distribution with mean 70 and standard deviation 5,…

A: From the given information,  the value of mean is 70, standard deviation is 5 and sample size (n) is…

Q: iven a normal distribution (X) with mean = 100 and standard deviation () = 10, what is the…

A: Given data,μ=100σ=10P(X>101)=?

Q: What is the probability of selecting a sample of n=16 scores with a mean greater than M=56?

A: Let , X→N(μ=55 , σ=6) , n=16 Our aim is to the probability of selecting a sample of n=16 scores with…

Q: The annual per capita consumption of bottled water was 33.3 gallons. Assume that the per capita…

A: Given information- Population mean, µ = 33.3 gallons Population standard deviation, σ = 12 gallons…

Q: The quartiles of any distribution are the 25th and 75th percentiles. About how many standard…

A: 25th Percentile = P(Z <z ) = 0.25 For normal table  P(Z < -0.67 ) = 0.2514 Hence, 25th…

Q: Given a normal distribution whose mean is 590 and whose standard deviation is 74, find the…

A: Given that  X~Normal(μ= 590 , σ= 74 )  μ= 590 , σ= 74 , n = 24

Q: In a Normal distribution, the average is 45 and standard deviation is 12. What is the probability…

A:

Q: For a normal distribution of individual scores with µ= 500 and σ= 100: What X values form the…

A: 1.The X values form the boundaries for the middle 60% of the distribution is,Step-by-step procedure…

Q: For a normally distributed random variable the standard deviation is 3.7 what is the mean if 10% of…

A: Given that, σ=3.7 Consider that 10% of the distribution is less than 31.

Q: You have a normal distribution with mean =54 and standard deviation =7. What is the probability of…

A:

Q: What is the probability that observations in a standard normal distribution will be: ?(−1.21 < ? <…

A: Given:  Z follows standard normal distribution with mean 0 and variance 1 . z1 = -1.21  z2 = 0.57 We…

Q: On a standard normal distribution, what percentage of scores lie within 2.25 standard deviations on…

A: Area property of normal distribution: Area lie between μ-σ, μ+σ = 68.25% Area lie between μ-2σ, μ+2σ…

Q: The mean of a normal probability distribution is 440, the standard deviation is 8 a. About 68% of…

A: As per Empirical rule, About 68 Percent of the data lies within one standard deviation from mean,…

Q: The high temperature xx (in degrees Fahrenheit) on January days in Columbus, Ohio, varies according…

A: Given Mean=19 Standard deviations=7

Q: In a normal distribution, it is known that 27.34% of all the items are included from 100 up to the…

A: X~N(μ,σ2)Then,Z=X-μσ~N(0,1)Given, P[100&lt;X&lt;μ]=0.2734and,…

Q: Find Pas, that is find 90 percentile of z-score from the standard normal distribution. 6.

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Q: Among third year students at AUM, scores in Probability and Statistics follow a normal distribution…

A: Given: Population mean  = 82 Population standard deviation = 4 Consider X be the random variable…

Q: The 90th percentile of the standard normal distribution is 1.645.  True  False

A: For standard normal distribution, μ=0 and σ=1 90% percentile means, PZ≤90th percentile value=90%