A dodecahedron is a die with 12 sides. Suppose the numbers on the die are 1-12. Consider the random variable X which describes which number is shown after rolling the die once. What is the distribution of X? Determine E(X) and Var(X).

Q: Find P(X = 3), P(X = 6), P(X less than or equal to 3),

A: According to our guidelines we are solving only first three sub-parts of given question and rest…

Q: Suppose that the random variable X represents th If E(X) 9 and V(X) 0.25, wh millimeters. Meani…

A: Let X be a random variable that represents the length of a punched part in the centimeters.Let Y be…

Q: please solve for a,b,c,d

A: Hello, Thanks for posting your question here.  I will solve all the parts here but since you have…

Q: Let X the number of accidents which have a Poison distribution with mean 2 per day. What is the…

A:

Q: Flip a coin 10 times and record the observed number of heads and tails. For example, with 10 flips…

A: Given that, Flip a coin 10 times and record the observed number of heads and tails. For example,…

Q: A student in PSYC 227 class collects data for a class project. She asks 10 classmates to shoot 10…

A: The test is to check whether the variables X and Y are related or not.

Q: Suppose the variance of the difference of two random variables X and Y is zero. Then, show that X =…

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Q: Suppose that you draw a random sample from a population where you know the population mean is 36 and…

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Q: Recently, a nurse commented that when a patient calls the medical advice line claiming to have the…

A: Givensample size(n)=25p=4%=0.04

Q: 2Y 0 Show that has a x² distribution with 2 degrees of freedom.

A: Mean =θ ,

Q: 10. A random variable X has the following distribution function: 0 if x < 2, 1/8 if 2<x< 2.5, 3/16…

A: (As per our standard guideline we are allowed to solve only 3 sub-parts.)a) In order to determine…

Q: The discrete random variable X is the number of students that show up for Professor Jones' office…

A: We have given that, X is a discrete random variable i.e. number of students.   The probability…

Q: If a random variable X has the gamma distribution with a = 2 and ẞ= 1, find P(1.7<X<2.3).

A: P(1.7&lt;x&lt;2.3)=16.24%Explanation:Given: X has a gamma distribution withα=2β=1 Probability…

Q: Suppose the value of a stock varies each day from $12 to $27 with a uniform distribution.  Find σ

A:

Q: Suppose you roll one six-sided die. Let X =the number shown on the die. Calculate o the variance of…

A: On a six sided die there are 1,2,3,4,5,6 as numbers Probability of getting each =1/6 So mean or…

Q: From a sack of fruit containing 3 oranges, 2 apples, and 3 bananas, a random sample of 5 pieces of…

A: 0.070Explanation:Step 1:  correlation coefficient  between X and Y is given by…

Q: Assume that ticket prices for an event are normally distributed. What z-value corresponds to the 1%…

A: we have to find  z value..

Q: Consider two independent random variables X and Y with Means of 17 for the first variable is 1 and…

A: Let the new variable be Z  = 3X  - 4Y   The mean is given by E(Z) =3E(X) - 4E(Y) E(Z) = 3(17) -…

Q: Let X be a random variable that represents red blood cell count (RBC) in millions of cells per cubic…

A:

Q: A student in PSYC 227 class collects data for a class project. She asks 10 classmates to shoot 10…

A: Given:

Q: What would happen to the variance of test scores if an instructor multiplies each score by 2? a. It…

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Q: There are two independent random variables X and Y. X has mean 4 and standard deviation , and Y also…

A: Given  E(X)=mean of X=4 and E(Y)=mean of Y=4  X and Y are independent

Q: Find the variance

A: Given : X~N(0, 7)

Q: Suppose for 40 observations the variance is 50. If all the observations are increased by 20, the…

A: given If the values of all 40 observations are increased by 20 the mean increases by 20 as well,the…

Q: Dandelions are studied for their effects on crop production and lawn growth. In one region, the mean…

A: Given: The mean number of dandelions per square meter is λ = 8 Formula Used: If a random variable X…

Q: al Poly Pomona found that 15% of its students withdraw without completing Calculus I course. Assume…

A: