12:35. Three groups of children contain respectively 3 girls and 1 boy; 2 girls and 2 boys; 1 girl and 3 boys. One child is selected at random from each group. Show that the chance that the three selected consist of 1 girl and 2 boys is 13/32.

Q: Consider a random sample of n = 11 people who donated blood over the past three months. • The…

A: A random variable x will follow the binomial distribution if the following conditions are satisfied.…

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Q: 2. For a population with u = 80 and o = 6, what is the z-score corresponding to X= 68?

A: The mean is 80 and the standard deviation is 6.

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A: Solution (1) is given below And second is incomplete question.

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Q: (a) If a random sample of size n = 35 is drawn, find u, o, and P(15 < xs 17). (Round o, to two…

A: a) The following information about the mean and standard deviation has been provided: μ=15, σ=9,…

Q: 8. A random sample of n = 25 individuals is selected from a population with u = 20, and a treatment…

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Q: Consider a random sample of n = 22 people who donated blood over the past three months. • The…

A: Given X=X= number of people who have blood type O+ Y=Y= number of people who have blood type A- Z=Z=…

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Q: الوقت المتبفی 47:29 Suppose that Y2-, are a random sample. Suppose X and y are both unbiased…

A: It is an important part of statistics. It is widely used.

Q: Suppose that X1, X2, X3, .., X99, X100 are independent Bernoulli(1/2) random variables. What is…

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Q: for: Ý; = 18, 2 + 2, 16X;, se(ß1) = 4, 28, se(B2) = 1, 28 and 6 = 16.04 estimated. According to this…

A: Given model is: Yi^=18.2+2.16×XiSe(β1^)=4.28Se(β2^)=1.28σ^2=16.04

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Q: Which of the following is(are) TRUE if the coefficient of determination between the response and the…

A: Here use basic of coefficient of determination and regression line

Q: A sample from a normal population with u=50 and o =6 has a mean of M =48.20.If the sample mean…

A: Given,mean(μ)=50standard deviation(σ)=6sample mean(M)=48.20z-score =-1.50

Q: A sample is selected from a population with μ = 50 and σ = 12. If the sample mean of M = 56 produces…

A: Determine the number of scores in the sample.   The number of scores in the sample is obtained below…

Q: 4. Suppose X is a random variable such that E( 3X - 7) = 8 and E() 19. What is Var( 70 – 2X ) ?

A: We have, E(3X-7)=8⇒3E(X)-7=8⇒3E(X)=15⇒E(X)=153=5 Also, E(X22)=19⇒E(X2)=19×2=38 Then,…

Q: suppose x is normally distributed random variable with u=16 and o=2. find this probability a.…

A: GivenMean(μ)=16standard deviation(σ)=2

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Q: 14. A researcher conducts a hypothesis test using a sample from an unknown population. If the t…

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Q: A random sample of size 80 is taken from a population of 20000 with u = 46.5 and o? 16

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Q: A sample of n = 36 scores is selected from a normal population with µ = 75 and σ = 7. The…

A: The sample size is 36, population mean is 75 and population standard deviation is 7.

Q: A die is weighted so that the probability of a 1 is 0.2, the probability of a 2 is 0.2, the…

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Q: Suppose that X1, X2, X3, ..., X99, X100 are independent Bernoulli(1/2) random variables. What is…

A: Given: X1, X2, X3, ..., X99, X100 are independent Bernoulli(1/2) random variables. To Find:…

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Q: A sample of n=16 scores is selected froma normal population with μ=56 and σ=20. What is the…

A: Given that, A sample of n=16 scores is selected from a normal population with μ=56 and σ=20.

Q: if x1, X2, ., X, be a random sample from Bin(4,0). ........ is T = x UMVUE ? Justify your answer.

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Q: 1. XYZ Cable corporation employs 2,500 people. If a random sample of 165 is taken from the entire…

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Q: Suppose that discrete random variable X~uni[1,2,3] A random sample of n=36 is selected from this…

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Q: the Blood Bank, they know that O+ blood is the most common blood type and that 40%40% of the people…

A: Obtain the probability that 4 people in the random sample will have type A- blood.   The probability…

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Q: $2.30, and for femäle gn What is the probability that a sample of 50 male graduates will provide a…

A: Note: Hey there! Thanks for posting the question. Since your post has more than three sub-part…

Q: A research center claims that 25% of adults in a certain country would travel into space on a…

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Q: Let X1,..., X25 be a random sample from N(µ1, V50) and Y1,., X20 be a random sample from N(µ2, V60).…

A: b. From the given information, n1=25σ1=50n2=20σ2=60 Hypotheses: H0:μ1-μ2=13Ha:μ1-μ2≠13 Given that…

Q: 6. Imagine that a zealous prosecutor (P) has accused a defendant (D) of com- mitting a crime.…

A: *Answer:  *a

Q: 18 - The amount of tea leaves in a can from a particular production line is normally distributed…

A: X~N(μ,σ2) and x¯~N(μ, σ2)Z=x¯-μσ/n~N(0,1)This probability value calculated from standard normal…

Q: Given that X~N(39,32) A Random variable X is normally distributed and has a mean of 9 C Random…

A: Given that X~N39, 32: X~Nμ, σ2 Here, mean μ=39 and variance σ2 = 9 X~N39, 32 states that X is a…

Q: a. What is the shape of the sampling distribution of ?^ − ?^ ? Why? ?? b. Find the mean of the…

A: a. Checking conditions: n1p1=50×0.30=15&gt;10 n11-p1=50×1-0.30=50×0.70=35&gt;10…

Q: A random sample of n=100 observations is selected from a population with µ=30 and o=20. The value of…

A: The random variable X follows normal distribution. The population mean is 30. The population…