Consider a random sample of size n. Define the random varible X to be the number of successes with p(success) p and p(fail) = q. If we define p = X+3 Find var(p). n+2

Q: Let x be a binomial random variable with  n = 20 and p = 0.2 Find  p (x<5)

A: Given information: X is a binomial random variable. The parameters are: Number of trials, n = 20…

Q: The discrete random variable X has the probability distribution 2 4 P(X=x) k 2k 3k 4k 3.

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Q: If continuous random variable X is normally distributed with µ = 5625 and σ = 875.5, what is P(5000…

A: Given μ=5625, σ=875.5 When X=5000,  Z=X-μσ=5000-5625875.5=-625875.5=0.7138 When X=6000,…

Q: For constructing a p-chart, the process fraction nonconforming is given 0.01. Suppose the Shewhart…

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Q: Suppose X is a random variable with X - N(30, 82) and let - H = the mean of X - me =the median of X…

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Q: Suppose that the random variable Y has an exponential distribution EXP(4), and the conditional…

A: Given Suppose that the random variable Y has an exponential distribution EXP(4), and the conditional…

Q: Compute the z-scores and the sample probabilities for these normally distributed events: a) x = 36,…

A: Obtain the standard z-score for X equals 37. The standard z-score for X equals 37 is obtained below:…

Q: For the random variable X, E(X+1) = 3 , E(X- +X)= 9 then the value of Var(X) is 10 3 0 2 0 50

A: Given, E(X+1)=3 Then E(X)+1=3          E(X) =2 and E(X2+X)=9       E(X2)+E(X)=9       E(X2)+2=9…

Q: Suppose a simple random sample of size n= 36 is obtained from a population that is skewed right with…

A: Answers are (b) P(x- &gt; 77.8) = 0.0446   (c)  P(x- ≤ 61.6) = 0.0094

Q: A random sample of size1,000 is taken from a population where P= 0.20. Find P(P>0.175)

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Q: Given that X is a random variable having a Poisson(A) distribution, compute the following: (a) P(X-…

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Q: If X1, X2, ., Xn is a xrandom sample from a N(H, o) population, write the distribution of…

A: Given  Xi ~N(μ,σ) ; i=1,2,...,n  We want to tell you what is the distribution  [(Xi-μ)/σ]2= ?

Q: Suppose a simple random sample of size n= 64 is obtained from a population that is skewed right with…

A: Given, Sample size =64  mean =82 Standard deviation = 32 b)…

Q: If X1, X2, ..., Xn is a xrandom sample from a N(µ, o) population, write the distribution of…

A: Here, X follows N(µ,σ) (X1- µ)/ σ  follows N(0,1)

Q: According to the Official Stage Magician Handbook, magic rabbit weight (Ibs.) is normally…

A: Assume, X be the random variable representing the magic rabbit weight. It is mentioned that X…

Q: If X1, X2, ., Xn is a xrandom sample from a N(µ, o) population, write the distribution of…

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Q: If x is a random variable with Binomial distribution of n=6 and p=0.55, find: i. E(X). i. Var(X).…

A: It is given that n=6 and p=0.55.

Q: Suppose a simple random sample of size n = 36 is obtained from a population with µ-87 and o= 12. (a)…

A: Givensample size(n)=36Mean(μ)=87standard deviation(σ)=12

Q: Suppose a simple random sample of size n= 36 is obtained from a population that is skewed right…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: If X is a random variable with Binomial distribution of n=35 and p=0.45, find: i. E(X) ii. Var(X)…

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Q: Suppose we select an simple random sample of size n = 100 from a large population having proportion…

A: Here we want to find correct p which follow approximately Normal distribution.

Q: For a random variable X, suppose that E[X]=4 and Var(X)=7. Then (a) E[(5+X)2]=  (b) Var(2+6X)=…

A: Given that, E(X) =4 Var(X) =7

Q: If X is a random variable with Binomial distribution of n=35 and p=0.45, find:    i. E(X) ii.…

A:

Q: Hello. Can I get help on how to work out this problem? If there is also a way to calculate using the…

A: Test hypothesis:Given that,The population proportion is p = 0.75,The sample proportion is p–hat =…

Q: Given that X is a random variable having a Poisson(A) distribution, compute the following: (a) Р(X —…

A: We have to find given probability.

Q: 1. Suppose the PMF of the random variable X is px(x) = .21(1.3)(x) +.61(2)(x). What is the mean of…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Suppose X is a binomial random variable that models the number of successes in n trials, where each…

A: Suppose X is a binomial random variable that models the number of successes in n trials, where each…

Q: If a random variable X is distributed Ber(1, ), then Var(X) = 24 121 8 121 11 3 11

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Q: According to the Official Stage Magician Handbook, magic rabbit weight (Ibs.) is normally…

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Q: Suppose that X, Y, and Z are jointly distributed random variables, that is, they are defined on the…

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Q: The probability of the sample space S is always less than 1. Select one: O True O False

A: The answer is : False. Explanation: A sample space is a collection of all possible outcomes of a…

Q: Q3-the graph shows the CDF of random variable x, what is the CDF of X, this means that what is F(x)?…

A: Based on the graph, the CDF of X is obtained as given below: Fx=0, for x&lt;-10.25, for…

Q: Suppose that X, Y, and Z are jointly distributed random variables, that is, they are defined on the…

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Q: A manufacturer of semiconductor devices takes a random sample of 100 chips and tests them,…

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Q: Let X be a binomially distributed random variable B(n, p) with E(X) = 2 and Var(X) = 4/3. Find n.

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Q: For the discrete probability distribution. 3 4. 6. 7 k 2k 2k 3k 2k2 7k + k Find the variance.

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Q: For a random variable X ~ Exp(2), find P(X < 1) and E[X].

A: Given: λ=2

Q: Suppose 50% of the bumblebee bats are female. 25 bumblebee bats are selected at random and the…

A: Given that n =25 , p= 0.5

Q: sample of size of n is selected from a population with the population proportion p ives x successes.…

A: Here use sampling distribution of sample proportion

Q: A humane society claims that less than 72% of households in a certain country own a pet. In a random…

A: Given

Q: Suppose a simple random sample of size n= 81 is obtained from a population with u = 76 and o = 9.…

A:

Q: f x is a binomial random variable with n = 10 and p = 0.8, the mean value of x is _____. 8 3.2 4.8…

A: Given,If x is a binomial random variable with n = 10 and p = 0.8mean value of x=?

Q: (i) Test the claim that p is less than 0.301. Use ? = 0.05.   (a) What is the level of…

A: (a) From the information given, the level of significance is 0.05. Thus, the level of significance…

Q: According to the Official Stage Magician Handbook, magic rabbit weight (lbs.) is normally…

A: Given  Xbar=6.5, sigma=1.5, n=23000,  mu=6.2 We want to z value  Z=(Xbar-mu)/sigma/√n

Q: A population, in which N = 5, is given below. Mention all the possible random samples of size n= 3…

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Q: (a) Show that if ô is an unbiased estimator of 0 and Var(ê) + 0, then Ô² is not an unbiased…

A: a)

Q: Suppose a simple random sample of size n= 36 is obtained from a population with u = 88 and o = 6.…

A: (a) It is clear that the sample size large (greater than 30) indicating that the sampling…

Q: According to the Official Stage Magician Handbook, magic rabbit weight (Ibs.) is normally…

A: The Z-score for the sample mean of the random variable equals 6.5 is 0.34.

Q: For a random variable X having an exponential distribution, you are giv VaR,(X)= 2630 TVAR (X) =…

A: From the given information, X has exponential distribution with parameter θ. Given that…

Q: According to the Official Stage Magician Handbook, magic rabbit weight (Ibs.) is normally…

A: Obtain the Z-score for the sample mean of the random variable equals 6.5. The Z-score for the sample…

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.