X is a normal variate with mean 1 and variance 4. Y is another normal varaite independent of X, with mean 2 and variance 3. Find the distribution of X+2Y.

Q: 1.)Find the proportion of the area above z= -1. Draw the graph. Please show your complete solution. ...

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Q: Assume A and B are independent events with P(4)=0.2 and P(B)-0.5. Let D be the event that exactly on...

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Q: The joint probability distribution of two random variables X, Y is given in the table below. Y=-3 Y=...

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A: Given data: 5.36,5.29,5.58,5.65,5.57,5.535.62,5.29,5.44,5.34,5.79,5.10,5.27,5.39,5.42,5.47,5.63,5.34...

Q: 1 2 3 0.001 0.031 0.24 0.41 0.4 p(x) What is the variance? 4)

A: Given data, Find variance?

Q: Normal distribution is where the mean and median are the same as what? O Z-score Mode Standard devia...

A: Solution-: Normal distribution is where the mean and median are the same as what? (a) Z-score (b) Mo...

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

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Q: 4) In Toronto, Canada, 55% of people pass the drivers' road test. Suppose that 100 people take the t...

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Q: You are tasked to arrange five different Mathematics books, four different Science books, and three ...

A: Given,no.of mathematics books=5no.of science books=4no.of English books=3

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A: Probability : The probability of an event is defined as the ratio of the number of favorable cases t...

Q: Given that P(4) = 0.2, P(B)= 0.7, and P(A|B) = 0.12. Then P(A B)= 0.233 0.184 O None of other option...

A: Given P(A)=0.2P(B)=0.7P(A|B)=0.12

Q: Provide an example of a distribution set that you would expect to generate results that are Skewed t...

A: The skewed right distribution is one of the tails is on the right side of the graph. The peak lies t...

Q: Find the probability of obtaining exactly one heart in four drawing from a deck of 52 cards. Find th...

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Q: The marginal distributions of two random variables X and Y, together with some values of their joint...

A: Solution-: We have following table:   Y=1 Y=2 Y=3 Total X=1 - 0.08 - 0.20 X=2 - 0.32 - 0.80 ...

Q: In a party, ten chairs are positioned around a circular table. In how many ways can ten people be se...

A: Let, There are ten persons 1,2,3,4,5,6,7,8,9,10. So, total possible seating arrangement in the round...

Q: Billy was asked to express P(85,60) as a product of numbers without factorials so he wrote the follo...

A: P(85,60)= ?

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 260 days...

A: Let X be the random variable from normal distribution with mean (μ) = 260 and standard deviation (σ)...

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Q: Assume A and B are independent events with P(4) = 0.2 and P(B) = 0.3. Let D be the event that exactl...

A: We have given that P(A) = 0.2 P(B) = 0.3 Where, A and B are independent D be the event that A or B o...

Q: Question 2 In a management trainee program at a particular company, 68 percent of the trainees are f...

A: Given that                We have to find  a) Find the probability that a management trainee select...

Q: Discrete Probability: 18% of a population eats yogurt daily. What is the probability that, in a grou...

A: From the provided information, 18% of a population eats yogurt daily that is (p) = 0.18 Sample size ...

Q: 2) Reliability of Testing. A certain virus infects one in every 200 people. A test used to detect th...

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Q: e The Scholastic Aptitude Test (SAT) contains three parts: critical reading, mathematics, and writin...

A: For the given data Perform Anova: Two-Factor Without Replication

Q: 1.) Find the area of the following z values and draw its graph. A.) From and to the left of z=2.0 B....

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Q: 0.4 A 0.6 0.2 0.2 E 0.5 B. 0.8 F 0.3 0.6 E C 0.4

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Q: A bag contains 10 red marbles, 10 white marbles, and 6 blue marbles. You draw 4 marbles out at rando...

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Q: Construct a 98% confidence interval to estimate the population mean when x= 131 and s = 34 for the s...

A: We have given that  Sample mean = 131 Sample standard deviation s=34  

Q: The number of hours of computer usage in a day of a random sample of 20 students was recorded as fol...

A: We have given that, 2.5, 3.2 ,2.5 ,1.5 ,6,1 ,3.5 ,3,1 ,1 ,4, 3, 2, 2.5, 1, 1 ,2.5 ,4.5, 4, 3 Then,  ...

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Q: QUESTION 3 Events A and B are such that P(A)=0.4, P(B)=0.5 and P(AU B)=0.7. What can then be said ab...

A:  We have given that P(A) = 0.4 P(B) = 0.5 P(A∪B) = 0.7

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Q: A box contains 3 glazed doughnuts, 4 jelly doughnuts, and 5 chocolate doughnuts. A doughnut is chose...

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Q: Evaluate 12C9

A: GivenC912

Q: According to Consumer Digest (July/August 1996), the probable location of personal com- puters (PC) ...

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Q: Below is a graph of a normal distribution with mean u=-2 and standard deviation o= 2. The shaded reg...

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Q: QUESTION An Internet Service Provider opens 10 new accounts per day, on average. Let X be a random v...

A: We have given that  Poisson probability distribution.  P(X=x) = e-λ*λx/x!    , X= 0 , 1 , 2......  7

Q: particular fruit's weights are normally distributed, with a mean of 282 grams and a standard deviati...

A: We have given that.   X~N( μ , ?^2 )   μ=282   , ?=24   Z-score =( x - μ )/?

Q: The values 25, 26, 25, 25, 25, 26, 39, 41, 90, 101 appear to follow a normal distribution. O True O ...

A: We have given that that data 25, 26, 25, 25, 25, 26, 39, 41, 90, 101. Here, we need to find out that...

Q: Suppose that X and Y have following joint probability distribution: F(x,y) 4 1 0.10 0.15 y 3 0.20 0....

A: Given data is F(x,y) x 2 4 Total   1 0.10 0.15 0.25 y 3 0.20 0.30 0.50   5 0.10 0.15 0.25 ...

Q: 1.) Find the Pr(-1.25 sz< 1.75). Draw the graph. Please show your solution. Please write the solutio...

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Q: EXERCISE 118.3 (Defending territory) General A is defending territory accessible by two mountain pas...

A: Given General A has 3 division General B has 2 division Each General allocate his division between t...