For a normal variable X~ N(μ = 31.9, o = 5.2), find the probability P(X> 29.8): P(X> 29.8) = places) (Round the answer to 4 decimal

Q: Derive mean and variance of gamma distribution.

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Q: X is a binomially distributed random variable with n= 10 and p= 0.25 Find the mean and variance…

A: Answer: From the given data, X follows binomial distribution, sample size (n) = 10 P = 0.25  and q =…

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: The probability of any one particular value in the normal distribution

A: The probability value always lies between 0 and 1 for any distribution.

Q: Which of the four sets of data represents a normal distribution? O (1, 2, 3, 3, 3, 2, 1) {-10, -8,…

A: We have given that the four sets of data. Here we need to find out that which one showing the normal…

Q: X is random variable with a normal distribution having a mean of 3 and variance of 2. Find P ( X> 4)…

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Q: Find the probability of a value in the standard normal distribution being greater than −0.35.

A: Draw the normal curve and shade the area to the right of z=-0.35.

Q: Which of the four sets of data represents a normal distribution? O { 10, 12, 13, 13, 13, 14, 16} O…

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Q: What do you mean by Multivariate Distributions?

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Q: How do you illustrate a normal random variable?

A: How do you illustrate a normal random variable?

Q: and characteristic function of Normal

A: The characteristic function of a normal random variable is a complex-valued function that completely…

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: What does it mean when the difference is statistically significant?

A: STATISTICALLY SIGNIFICANT MEANS NULL HYPOTHESIIS IS REJECYED.

Q: Explain the Normal Distribution? Also Define normal distribution for a single variable?

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Q: the actual dose administered is normally distributed with mean μ mg and variance σ 2 = 2.6 mg2.

A: It is given that the actual dose administered is normally distributed with mean μ mg and variance σ…

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

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Q: Let Y be a random variable with mean zero and variance o². What do we know about the quantity 1 (Yi…

A: Given that,  Y = 1n∑i=1nYi  Now,  1n∑i=1nYi - Y = 1n∑i=1nYi - 1n×nY = Y - Y = 0

Q: Decreasing the mean does what to a normal curve?

A: Changing the mean of a normal density curve shifts the curve along the horizontal axis without…

Q: Negative correlation coefficient indicates that the movement of the variables are in: Opposite…

A: Negative correlation coefficient indicates that the movement of variables are in opposite direction.

Q: Question [5] The number of calories in a salad on the lunch menu is normally distributed with mean =…

A: Given data,Mean μ=100Variance σ2=16sd σ=4

Q: Derive the negative MGF of binomial distribution

A: We have to derive mgf(moment generating function) of binomial distribution.

Q: How is the shape of the F distribution affected by the degrees of freedom?

A: Given data How is the shape of F distribution affected by the degrees of freedom

Q: Let X-G(6,0.3) Find the variance of the gamma distribution.

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Q: The sample standard deviation follows a normal distribution if the population follows a normal…

A: We know that- The population follows a normal distribution with mean and standard deviation, the…

Q: Person 1 (X) = 1 hour, z = -0.5 Person 2 (X) = 3 hours, z= 0.5 Person 3 (X) = 4 hours, z= 1 4. Using…

A: The question is about normal dist. Given : Person 1 ( X ) = 1 hr. , z = -0.5 Person 2 ( X ) = 3 hr.…

Q: How do you find variance with only the standard deviation and number of values?How do you find…

A: Variance is square of standard deviation. So, if you are given standard deviation, then simply…

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

A: Please find the explanation below. Thank you

Q: 6. State the Central Limit Theorem, and explain how it can be used to approximate the Binomial…

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Q: Why is it that the normal distribution is the most useful probability distribution?

A: Solution-: We want to get the reason why is it that the normal distribution is the most useful…

Q: Differentiate the z and t statistics, and identify some particular quantities that we can…

A: Given that  z distribution and t distribution  Differentiate between z and t statistics

Q: A random variable X has only two values a and b with P(X = a) = p , P(X = b) = q (p + q = 1). Find…

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Q: Suppose that blood chloride concentration (mmol/L) has a normal distribution with mean 104 and…

A: Given that: Population mean, μ=104 Population standard deviation, σ=5

Q: Define the chi-squared distribution?

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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: Economics find that 22% of EU S adults believe gas prices will increase during the next year.…

A: We have given that  Population proportion p=22%=0.22 Sample size n= 425

Q: Let X is a Gaussian random variable with zero mean an variance o · Y = X. Find mean of Random…

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Q: A random variable X is normally distributed with unknown mean u and variance o². If P(X > 9.5) =…

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Q: Suppose IQ scores are approximately normally distributed with mean mu = 100 and standard deviation a…

A: Given,