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Q: 8. Calculate the mean u, second moment, and the variance o? of the random variable X, representing…

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Q: Use a normal distribution to estimate the probability of more than 55 girls being born in 100…

A: Given that, The Mean and Standard deviation are, Check the conditions of normal approximation to…

Q: For the normal distribution shown below, what area is contained between -2 and 1? -3 -2 -1 3 T2

A: Normal distribution is the most common continuous probability distribution. In a normal distribution…

Q: IQ is a scoe that is transofrmed so that it has a normal distribution with a mean 100 and standard…

A: Solution: Let x be the IQ score of person has normally distributed with meanμ=100 and standard…

Q: Students mark on an exam has a normal distribution with a mean of 65 and SD 10. What is the…

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Q: Mean = 126 millimeters,variance = 64,if a random sample of 37 bolts is selected,what is the…

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Q: QUESTION THREE Suppose you have a normal distribution variable ?, ?=60 and ?=18.  a) Find the…

A: We have given that Mean(µ) = 60Standard deviations (σ) = 18X ~ N (µ, σ )= N (60, 18)u

Q: lecture(12.5):  The mean of the population is 50. The standard deviation is 10. If a person row…

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Q: What do you mean by Multivariate Distributions?

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Q: The probability that an observation taken from a standard normal population will have z greater than…

A: A z-score is a standard score that indicates the number of standard deviations a data value is from…

Q: any normal distribution, a z-score of z = -1 separates the highest 68% of the scores from the rest…

A: Given that  A z-score of z = -1 separates the highest 68% of the scores from the rest of the…

Q: he mean of a normal distribution corresponds to a z-score of 1.    True  False

A: A z-score is a standardized value. Its distribution is the standard normal, Z ~ N(0, 1).

Q: A set of exam scores is normally distributed and has a mean of 78.1 and a standard deviation of 8.1.…

A: We have given that , Mean = 78.1 , Standard deviation = 8.1 , X = 60

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: What does the variance of a random variable measure? What is the standard deviation of a continuous…

A: Variance of a random variable measures how far a set of (random) numbers are spread out from their…

Q: State two of the main reasons for studying the normal distribution.

A: The two main reasons for studying the normal distribution are as follows:The normal distribution is…

Q: erature of healthy humans has a normal distribution with mean 98.3°F and variance 0.5375. What is…

A: The standard deviation is calculated as: σ=0.5375=0.73314≃0.733 Given:μ=98.3, σ=0.733 The…

Q: 2 dice were rolled and the given random variable x in the table below shows the sum of the 2 dice…

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Q: Differentiate the different distributions 1. Normal 2. t-distribution

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Q: The null hypothesis that there is no relationship between the amount of coffee consumption and GPA…

A: from given data we have : The null hypothesis that there is no relationship between the amount of…

Q: What is the median of a continuous random variable? What is the median of an exponential…

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Q: how to know if something is a normal distribution or not

A: Introduction:Several tests of normality exist, using which you can verify whether a particular data…

Q: Number of weekly grocery deliveries requested at Wal-Mart is a normal random variable with mean m =…

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Q: The probability that a person who exercises and eats well has a heart attack is predicted to be 0.3…

A: Given that  The probability that a person exercises and eats well has a heart attack is predicted to…

Q: For a normal distribution of negative Z score means tha

A: Z-score value is negative.

Q: (a) Find the​ mean, variance, and standard deviation.​ (b) How many times would you expect to have…

A: Let X be the random variable the number of times you play the lottery before winning the first…

Q: Find the mean/ expected value of X round to two decimal place

A: The probability distribution is:xP(x)79920.00044920.004920.012-80.9836

Q: Find the probability that, when playing 100 games, the player will win more than $5 on average.…

A: The following information has been provided: μ=4, σ=0.583\mu = 4, \text{ } \sigma = 0.583

Q: Properties of a normal distribution then explain it in own words

A: Please find the explanation below. Thank you

Q: Find the probability that a normal variable takes on values more than 1/6 standard deviations away…

A: The objective of this question is to find the probability that a normal variable takes on values…

Q: What is probability and how is it related to the normal distribution?

A: Probability is a branch of mathematics that deals with the study of random events and their…

Q: Identify if its true or false For any normal distribution, the probability that the random variable…

A: Out aim is to identify the statement is true of false

Q: Mean = 126 millimeters-variance=64-if a random sample of 37 bolts is selected , what is the…

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Q: The distribution of the variance (Chi-Square distribution) becomes more like a normal distribution…

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Q: Find the probability that a normal variable takes on values more than  1 2  standard deviations…

A: Here, more than ½ standard deviation away from its mean can be denotes as the z score less than -1/2…