The p.d.f. of a random variable X is f(x)=2x for 0

Q: X is the number of red marbles that Suzan has in her hand after she selects five marbles from a bag…

A: The objective of this question is to calculate the expected value, variance, and standard deviation…

Q: Suppose that a basketball player can make a free throw 70% of the time. Let X equal the minimum…

A: From the provided information,

Q: Have American males (AMs) gotten heavier over the last 20 years? A random sample 77 AMs in 2019 had…

A: Central Limit Theorem for mean: If a random sample of size n is taken from a population having mean…

Q: How to Check the non-constant variance using this ’residuals vs fitted values’ plot?

A: We check non-constant variance using residuals versus fitted values plot as, We observe the given…

Q: (H.: T=0.2) (Decision Rule: if P) 0,3, Ho is rejected) Variance = (0.1). Which test is best to use?…

A: It is required to identify the correct option regarding whether the test is right-tailed,…

Q: A recent study found that the life expectancy of a people living in Africa is normally distributed…

A: From the provided information,

Q: Demand in each period is normally distributed with a mean of 100 and astandard deviation of 50. What…

A: Given: Mean (E[X]) = 100 Standard deviation (Sd [X])= 50

Q: Compute the standard score (Z-score) for x, when x = 40, the mean of the distribution = 50, and the…

A:

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: random sample of size 50 is taken from a geometric distribution with a parameter 0.45. Find the…

A: We know that The pmf of Geometric distribution is P(X=x) = qxp ; x= 0,1,2,. . .

Q: The average starting salary for a data analyst is Ph 40,000 and a standard deviation of 5,000. A…

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

Q: Derive variance for gamma distribution?

A:

Q: These curves represent normal distributions with different means and standard deviations. What do…

A: On the basis of the above Normal Curves given :

Q: Scores on examination are assumed to be normally distributed with a mean of 72 and a variance of 50.…

A: Scores on examination are assumed to be normally distributed with a mean of 72 and a variance of 50.

Q: the mean only given the standard deviation? I know I can get the variance from standard deviation.…

A: The formula for calculating the  variance and standard deviation is,

Q: Find the standard error of the sample mean such that we have 50 random samples with mean 30 and…

A: Number of random samples,  Mean=30 Standard deviation,

Q: provide the NORMAL CURVE of the solution

A:

Q: The scores on a standardized test are normally distributed with a mean of 90 and standard deviation…

A: The test score is 0.6 standard deviations above the mean is obtained below: From the given…

Q: If X is exponentially distributed with a mean of 3, can you find a uniform distribution U[a,b] with…

A: The provided information is as follows:The  is exponentially distributed with the mean 3..The mean…

Q: Derive mean and variance of normal distribution.

A:

Q: X is the number of red marbles that Suzan has in her hand after she selects five marbles from a bag…

A: The objective of this question is to find the expected value, variance, and standard deviation of…

Q: One of the characteristics of a standard normal curve is that its variance and standard deviation is…

A: We want to tell you which one is the correct choice

Q: what is the mean and standard deviation of all z distributions?

A: Z is distributed as a standard normal variable.

Q: The life of light bulbs is distributed normally, the standard deviation of the lifetime is 29 hours…

A: Answer: From the given data, Mean (μ) = 570 Standard deviation(σ) = 29 X follows normal…

Q: Derive mean for gamma distribution?

A:

Q: Y, = XB + ɛ, Show that the model variance in model Yi unbiased estimator of

A:

Q: a regression line of Y on X, the variable Y is know as random variable dependent variable…

A: The general form of the regression line is: Y^=a+bX Where ′Y^ is the predicted value, 'a' is the…

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: Explain kurtosis of the distribution?

A:

Q: Suppose we have independent observations X1 and X2 from a distribution with mean u and X1+X22…

A:

Q: From the data set of a class, a student taking a final exam is random variable with mean equal to 50…

A:

Q: X is a normal variable with mean of 8 and variance of 97. What is the z-score when x = 3?

A:

Q: The scores on a test are normally distributed with a mean of 150 and a standard deviation of 30.…

A: The normal distribution:A continuous random variable X is said to follow normal distribution if the…

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