A spinning Merry-go-round consists of 8 different colors chairs numbered 1 to 8. When it stops, Mary sits on a chair which is in front of her. a. What is the probability that she will sit on chair number "4"? b. Find the mean of the random variable, E(x). c. Find the variance of the random variable, Var(x).

Q: Let X, Y, and Z have means 1,2, and 3, respectively, and variances 4,5, and 9 respectively. X, Y,…

A: From the provided information, Let X, Y and Z have means 1, 2 and 3, respectively, and variances 4,5…

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Q: 2. The height of grade 1 pupils are approximately normally distributed with u= 45 inches and a=2. a.…

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Q: For families with 5 children, let X be the number of children with Genetic Condition B. Can the…

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Q: c) In a sample of 100 newly manufactured automobile tires, 7 are found to have minor flaws in the…

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Q: a. Probability that there is at least one imperfection in a roll of 10-m synthetic fabric is? b. a.…

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Q: Given independent random variables, x and y, with means (100, -50) and standard deviations (16, 25)…

A: It is a fact of probability . It is widely used in statistics .

Q: 3. The random variable X, representing the number of errors per 100 lines of software code, has the…

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Q: Suppose that the random variable z, shown below, represents the number times. P(z) represents the…

A: From the provided information, x P (x) 0 0.2686 1 0.264 2 0.2633 3…

Q: Illustrate a probability distribution of a random variable X showing the number of face mask sold…

A: Total masks sold = 25 + 20 + 15 + 14 +15 = 89

Q: Illustrate a probability distribution of a random variable X showing the number of face mask sold…

A: Given, Day   Number of Face Mask 1 25 2 20 3 15 4 14 5 15 6 10 7 12 8 10 9 15…

Q: Suppose you take a sample of stock returns from the Excelsior Corporation and the Adirondack…

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Q: Consider a population with 3 observations: 6, 10 and 12. You use simple random sampling without…

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Q: Let the random variable X represent the number of cars that are used for official business purposes…

A: Consider, μA=∑xPA(x)     =(1*0.3)+(2*0.4)+(3*0.3)     =2 σA=∑x2PA(x)-∑xPA(x)2…

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A: Given: n=7 and p=0.1 Then, the variance isVariance=np1-p=70.11-0.1=70.10.9=0.63

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A: a)  n=5,p=0.5μ=n*p=5*0.5=2.5σ2=n*p*(1-p)=5*0.5*0.5=1.25σ=1.25=1.118

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A: Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any…

Q: 6. Suppose that 25% of all subscribers to a business magazine earn an income of more than $75,000.…

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A: Given that the parameters of binomial random variable are n = 3 and p = 0.5

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Q: 3. Find the variance and standard deviation of the probability distribution of a random variable X…

A: Variance=EX2-E2(X)=22920+42120+5215+32310-2920+4120+515+33102=10.3-32=1.3

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Q: The following is the probability distribution for calls arrived at a switchboard of one of the…

A: X 2 7 12 16 P(X) 0.19 0.32 0.22 x

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Q: Find the variance and standard deviation of the probability distribution of a random variable X…

A: Variance=EX2-E2(X)=32730+5213+721330-3730+513+713302=31.6666666667-5.42=2.5066666667

Q: Suppose that the random variable z, shown below, represents the number times . P(x) represents the…

A: Given data is  x P(x) 0 0.3028 1 0.2745 2 0.2629 3 0.0889 4 0.0406 5 0.0303 6+…

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Q: 2. Find the variance and the standard deviation of the probability distribution of the random…

A: NOTE: As per the guidelines, we are supposed to solve the first question…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.