Let x determine a random variable, and use your knowledge of probability to prepare a probability distribution. A family has three children and the number of girls is recorded. (Assume an equal chance of a boy or girl for each birth.) Complete the probability distribution. x P(x) (Type an integer or a simplified fraction.) 2 ☐ 3118

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A: Given thatData values :  25 , 35 , 19 , 38 , 16 , 16 , 8 , 29 , 47Sum of data values = 233Number of…

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Q: Hint: Use the Central Limit Theorem ]. Flip a balanced coin 5000 times. Let X be the total number…

A: n=5000P=0.5

Q: . Suppose X ~N(3.7, 1.28). Let Y = -0.5X + 14. Then, P(X <= 5.0) =?, E(Y ) =?, and V(Y

A:

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A: Given a large-sample level 0.01 test for testing  against .

Q: Suppose that a random variable X has the following probability density function. SC(36-x²) 0≤ x ≤ 6…

A: From the provided information,

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A: 4 red marbles, 3 green ones,2 white ones,1 purple one

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A: We have given the prices:The price for an automobile =$26000The price for gas card = $125The price…

Q: 2. A random variable X = {0, 1, 2, 3} has probability mass function: 1 1 2 Px(0) = Px(1) = Px(2) =…

A: X~{0,1,2,3}

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Q: • Your dorm enters 15 out of 65 plastic numbered ducks in a duck race. The ducks are all dumped into…

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Q: (b) What is the probability that preparation time exceeds 26 min? 0.9 ng Saved Work Revert to Last…

A:

Q: 2. A Markov chain has the following transition matrix ||1/3 1/3 1/3|| P = 1/3 2/30 1/3 0 2/3 a. Draw…

A:

Q: Exercise 2 A manufacturing process always has 8 parts in process. A part must successfully…

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Q: Problem 01: A circuit system is given in the figure below. Assume the components fail independently.…

A:

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Q: A group of transfer bound students wondered if they will spend the same mean amount on texts and…

A: Difference in means = Mean(u) - Mean(c) = 1015 - 949 = $66Population standard deviation of…

Q: 1. There are 8 horses in a race at Retama Park. You could win a BIG jackpot if you can pick the…

A: 1) In a horse race with 8 horses where you need to predict the exact finishing order, the order in…

Q: About 2% of the bulbs produced by a company data are defective. A merchant receives a lot of 500 of…

A: n=500p=0.02

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Q: pay an amount of money M if some event A occurs within a year. If the insurance company estimates…

A:

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A: Given:Total slots =38Red slots =18Black slots =18Green zeros =2The probability of the ball landing…

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A: From the provided information,The cumulative area is 0.4708.

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A:

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Q: Given f(x) = { (x2+1)/30; x = -2,-1,0,1,2  0; elsewhere ] Find the mean and variance of X.

A: X-2-1012f(x)

Q: 2. Look at your graph in problem 1. What is the probability that 2 ≤ x ≤ 5?

A: The given graph is parallel to -axis, So we are going to assume that the random variable  is plotted…

Q: Use the Standard Normal Table or technology to find the z-score that corresponds to the cumulative…

A: To find the  -score that corresponds to the cumulative area, we use the standard normal…

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Q: For each of the following random variables, say whether it is continuous or discrete: a) the number…

A: As per the Bartleby guildlines we have to solve first three subparts and rest can be reposted.We…

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A: Here, mean is 65 and variance is 152.The corporation decides that only 25% of participants will be…

Q: a) What is the expected value of a puzer b) One customer has two chances to receive a prize. If the…

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A: From the provided information,

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A: Probability of defective piece(p)=0.01Probability of non-defective piece(q)=1-p=1-0.01=0.99Note: You…

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Q: P(z> -1.062) = (Round to four decimal places as needed.)

A: X~N( μ , ?)μ=0 , ?=1 For standard normal distribution.Z-score =( x - μ )/?

Q: At the restaurant i 23 Σ π, they have 19 soup, 12 appetizer, 9 salad, 5 entree, and 18 dessert…

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Q: A coin is tossed 17 times. In how many outcomes do at most 2 tails occur?

A: Solution-:A coin is tossed 17 times. In how many outcomes do at most 2 tails occur?

Q: How many three-letter code words can be constructed from the first twelve letters of the Greek…

A: It is given that Total number of letters = 12Number of letters to be chosen = 3

Q: his problem set will refer to a standard deck of cards. Each card in such a deck has a rank and a…

A: Let X denote the number of aces in your right hand. We want to find E(X). There are total 4 aces in…

Q: An health insurance company divides people into two classes (young and old). The company's…

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Q: A car panel is spray-painted by a machine, and the technicians are particularly interested in the…

A:

Q: A study was conducted to measure the effectiveness of hypnotism in reducing pain. The measurements…

A: The formula for the Confidence interval for paired differences between the mean is:

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A: Mean()=125Standard deviation()=15

Q: Suppose that X ~ Exp (A) for some X > 0. If Y = X¹/a for some a > 0, show that Y is absolutely…

A:

Q: 4.56 Nonstandard dice. Nonstandard dice can produce interesting distributions of outcomes. You have…

A: Due 1 : 6 faces(standard die){ 1,2,3,4,5,6 } Die 2 : 3 faces ( one spot ) 3 faces ( six spots )