5 What is the variance of the number of requests? a 1.7900       b 1.8411       c 1.9000       d 1.9600

Q: For the random variable X defined by the probability function below, answer the following questions.…

A: Given: x 2 3 4 5 6 7 f(x) 0.25 0.15 0.10 0.15 0.10 0.25

Q: The distribution of the number of chocolate chips (x) in a cookie is shown in the following table. 2…

A:

Q: Probabilities of values of X-[10 21 24 27 30], a random discrete variable, are [0.16 0.09 0.13…

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Q: 2. A statistics professor has office hours from 9:00 AM to 10:00 AM each day. The number of students…

A: If this is the rest of the question -The professor gives each student 10 minutes. Determine the…

Q: Given below is the probability distribution of the random variable X: 10 11 12 13 14 f(x) 0.4 0.3…

A: Given data is  X 10 11 12 13 14 f(x) 0.4 0.3 0.2 0.05 0.05

Q: a Suppose the random variable X follows a normal distribution with mean 30 and variance 81. Then the…

A: Obtain the Z-score for the random variable X equals 40. The Z-score for the random variable X equals…

Q: In a game of chance, the amount of dollars that a gambler can get as a reward has a probability…

A:

Q: The National Weather Service has the following model for the random variable X = the number of…

A: X is the number of hurricanes that hit North Caroline in a year.

Q: We randomly select four cards from a standard deck of 52 cards and count X, the number of Diamonds…

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Q: A discrete random variable X has the following probability distribution: Value of X 1 2 3 4 5 6…

A:

Q: No. of accidents, x 2 3 4 Probability P(x) 0.35 0.25 0.20 0.1 0.1

A: Ans;   Given table         No. of accidents, x 0 1 2 3 4 Probability P(x) 0.35 0.25 0.20 0.10…

Q: Suppose X~B(n=3 ; P=2/3). Use the binomial distribution formula to compute the following: The…

A: Given information X ~ B(N=3,p = 2/3) In Binomial Distribution Variance is given by So, Option b is…

Q: Find the variance of thefollowing probability distribution. X P(X) 1 0.20 2 0.15 3 0.25 4 0.25 5…

A: Given: The probability distribution of random variable x, X 1 2 3 4 5 PX 0.20 0.15 0.25 0.25…

Q: A taxi can accommodate anywhere from one to four passengers at a time. The number of passengers X…

A: Given: X is the number of passengers per ride for one taxi and its probability distribution is given…

Q: he random variable x has the following probability distribution: f(x) 25 1 20 .15 .30 4. .10 3.

A: Given data,

Q: A researcher studying public opinion of proposed Social Security changes obtains a simple random…

A: Given that n =30 and p=0.20.

Q: Calculate the variance of the following probability distribution: -3 -2 -1 1 3 f(x) 0.17 0.14 0.11…

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Q: A random variable X has the following probability function - 3 Р (х) - 2 1 1 2 %3D 3 k k •2 2k •4 2…

A: Answer: For the given data

Q: A normally distributed random variable X with variance = 400 and P(X > 120) = 0.7632. Then the mean…

A: Let X be the normally distributed random variable with variance σ2=400 X~N(μ, σ2=400)

Q: The table below shows the respective probabilities that a number of power failures will strike a…

A:

Q: The random variable X has the following probability distribution x 0 1 2 P(x) 0.2 0.6 0.2…

A: The random variable X has the following probability distribution is, x 0 1 2 P(x)…

Q: A couple wishes to have children until they have exactly two female children in their family. p =…

A: Given problem Given that   A couple wishes to have children until they have exactly two female…

Q: A random variable X has a binomial distribution, and a random variable Y has a Poisson distribution.…

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Q: A discrete random variable X has variance 3. Which of the following is the variance of 3X - 2? 25 3…

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Q: Find expected value and variance of X random variable whose distribution is as follows:. X 1 2 P(x)…

A: For a discrete random variable X, the expected value (or mean) of X, is a weighted average of the…

Q: The number of telephone calls arriving at an exchange during any given minute between noon and 1:00…

A: Consider the table:

Q: e Class 2 group for the next Boy's and Girl's Championships female 100m dash has 56 females…

A: The sample mean will follow normal distribution with parameters equal to:

Q: The total number of cars to be sold next week is described by the following probability distribution…

A: Given,V(X)=0.88Y=4-2X

Q: The number of jackets sold per week at a boutique shop is shown in the table, with the corresponding…

A: The formula to calculate mean, variance and standard deviation are :…

Q: A barber expects to get between zero and six customers per hour in his barber shop. The probability…

A: Solution-: We have following table: X P(X) 0 0.15 1 0.07 2 0.29 3 0.26 4 0.13 5 0.09…

Q: X.P(X) P(X) 0.10 21 4 0.23 6. 0.25 8. 0.36 10 0.06 В. Do the following. Find the variance and…

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Q: The random variable X has probability distribution as shown below: 0 1 2 p(X = x) 0.16 0.48 0.36 The…

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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

Q: 3. The number of adults living in homes on a randomly selected city block is described by the…

A:

Q: Compute the variance of random variable, Y. Y 1 P(Y) 0.25 0.5 0.25 Select one: a. 0.34 O b.0.5 C.…

A: Given: Probability distribution of Y. The variance of random variable Y is obtained as below:…

Q: Let X be a random variable that can take the values 5, 9, or 13. And let f(x) be its probability…

A: Variance : Variance formula for the probability distribution is given by                  V(X) =…

Q: The manager of an industrial plant is planning to buy a new machine of either type A or type B. If t…

A: Given,CA(t)=10t+30Y12CB(t)=8t+30Y22

Q: (b) M is discrete random variable that has the expected value 25 and variance 3. Find: i. E(3M +24)…

A: Given that : M is a discrete random variable.  E(M) = 25     ,   Var( M) = 3 By using expectation…

Q: You own a local company that has special equipment for moving pianos. Your company has enough…

A:

Q: Assume, North Origano, is a country with highest domestic violence cases (approximately 5 cases per…

A: Given that, The probability distribution for the number of new clients for counseling for 2021 as…

Q: Let X be a random variable that can take the values 2, 9, or 13. And let f(x) be its probability…

A:

Q: The probability distribution of the random variable X is: 4 6 0.3 0.4 2 f (x) 0.1 0.2 The variance…

A:

Q: In the table below x denotes the X-Tract Company’s projected annual profit (in $1,000).  The table…

A:

Q: For independent random variables X and Y. Var(X-Y)=Var(X)-Var(Y) O True O False If the correlation…

A: Solution:-

Q: In the table below x denotes the X-Tract Company’s projected annual profit (in $1,000).  The table…

A: Given, In the table below x denotes the X-Tract Company’s projected annual profit (in $1,000).   The…

Q: For numbers 2 - 8 The following data show the probability distribution of the number of computers…

A: As per our guidelines we are suppose to answer three sub parts. mean(μ)=∑X.P(X)

Q: Consider the following probability distribution function of X and Y: 1 2 0.35 0.05 Y 0.15 0.45 Find…

A:

Q: Roth is a computer-consulting firm. The number of new clients that they have obtained each month has…

A: The required calculations for obtaining mean and variance are made in the following table:

Q: Let xbe a binomial random variable with a variance of 0.48, q = 0.6 and n=2. Find E(2x-3) اختر احدى…

A: x~binomial(n,p,q)where n=2  ,  q=0.6  variance=0.48           npq=0.48(2)(p)(0.6)=0.48 ⇒ p=0.4and…