Suppose that a family has 8 children. Also, suppose that the probability of having a boy (based on the gender assigned at birth) is The probability that the family has no more than 6 boys is (Type an integer or a simplified fraction.) Find the probability that the family has no more than 6 boys.

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A: Objective of this question is that, find the distribution of Z , where Z given below Z=2Y1+3Y2-Y3

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A: The union of two events is the occurrence of either of them or at least one of them. The…

Q: Assume a variable is normally distributed with a mean of 30 and standard deviation of 6. P(x>32) =…

A: From the provided information, Mean (µ) = 30 Standard deviation (σ) = 6 X~N (30, 6)

Q: (a) Let X-N(μ1,0²) and Y~N(μ2,0²) be independent, where H₂> H1>0. Show that Y-X - Ν(μ2-11,207). (b)…

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Q: Let X₁, X2, ..., XK-1 have a multinomial distribution. (a) Find the mgf of X₁, X₂, ..., XK-2. (b)…

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Q: If you roll 6 six-sided dice, find the probability that the sum of the dice is greater than 7.

A: Given roll 6 six-sided dice,

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Q: Could you write this part for a better understanding? Thank you.

A: the expected value is computed as follows

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Q: QUESTION 6. The state sells 5 million lottery tickets at $2.00 apiece and offers the following…

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Q: Coefficients: Estimate Std. Error t value Pr (>|t|) 17.350001 -1.534 0.127 0.084885 0.006923 12.261…

A: Given  Test statistic for adverts  t=12.261, p value=2e-16&lt;0

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Q: 2. For any r.V. S X1,..., Χη, set (a) Show that η X x - Σxi, and 52 - Σ - x). = Σ(x η i=1 i=1 n n…

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Q: WHAT IS IT AS A FRACTION FOR EACH ANSWER FOR PART B

A: as you need i gives answer in fraction from previous solution

Q: For each of the scenarios below, select: A : variable is binomial (appr

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Q: In a hotel, suppose 70% of the rooms have showers and 30% have baths. 20% of the rooms with showers…

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Q: 1 1 T 2 I 3 IE I 5. I I I I I 6 2) The time it takes to drive to Top High School is normally…

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Q: 2. The drying time of a type of paint under specified test conditions is known to be normally…

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Q: 4. Phone calls arrive at the rate of 48 per hour at a Call Center. a. What is the probability of…

A: As per Bartleby guidelines I can't answer more than three sub parts per post. Hope you understand.

Q: (a) The friendly instructor went to visit the casino to play with a biased coin, where the head…

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Q: Problem 1 Let X - N(u,0²) be a normally distributed random variable, and let c #0 be a constant.…

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Q: Y~N (100, T) value of PCY >105Y >103) ?

A: Given  Y~N(100,7)

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Q: the probabilities of the states of dependent systems X and Y are given by the table: (Xi, Yi) X1…

A: Solution: From the given information,

Q: 5. Let A and B be independent events such that P(A) = 0.4 and P(B) = 0.4. Let A' denote the…

A: A and B are mutually exclusive eventsP(A) = 0.4P(B) = 0.4P(A'∩B) = ?

Q: 7.25. Let X₁, X2, ... be a sequence of independent and identically distributed continuous random…

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