Compute the mean, variance, and standard deviation of the probability mass function. (Non-anonymous questionO) (8 Points) P(x) 0.15 1 2 0.25 3 0.30 4 0.15 0.10 6. 0.05
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A: Mean(μ)=E(X)=∑X.P(X)E(X2)=∑X2.P(X)Variance(σ2)=E(X2)-E(X)2Standard deviation(σ)=E(X2)-E(X)2
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A: 20 0.3 6 400 120 30 0.05 1.5 900 45 40 0.4 16 1600 640 50 0.15 7.5 2500 375 60 0.1 6 3600…
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Q: Use the probability distribution to complete parts (a) and (b) below. The number of defects per 1000…
A: mean=E(X)=∑x.P(X)
Q: Use the probability distribution t complete parts (a) and (b) below. The number of defects per 1000…
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Q: The following is a Poisson probability distribution with P(x) 0 0.9020 1 0.0835 2 0.0115 3 0.0030…
A: Given: Mean of the Poisson distribution = 0.4 To find : The variance of the distribution.
Q: What is the Discrete Variance for the following numbers? X P(X) 0.05 0.56 0.11 0.07 0.21 0 1 2 3 4
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Q: 23. Table Q3 1 2 0.15 a 3 0.4 X P(X=x) Given E(X)= 3.05, calculate the values of a and b. 6 b
A: a=0.25 b=0.20
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A: Probability distribution is, x p(x) 1 0.10 2 0.60 3 0.15 4 0.10 5 0.05
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A: According to the given information in this question We need to find mean and standard deviation
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Q: B. Find the variance and standard deviation of each probability distributions. You may use the space…
A: From the provided information, 1) The probability distribution table is as follow: X 0 1 2…
Q: Use the probability distribution to complete parts (a) and (b) below. The number of defects per 1000…
A: mean=E(X)=∑X.P(X)
Q: I. APPLICATION. Compute for the mean and variance of the given discrete probability distribution.…
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Q: Consider the following probability distribution. X 1 3 4 6 P(x) 0.02 0.05 0.17 0.35 0.22 0.17 0.02…
A: Formula Used: For expected value of x. E(x) = ∑xP(x) For standard deviation of x. SD(x) = VAR(x) For…
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A: Property: If ∑P(X=x)=1 then it is discrete probability distribution 0≤P(X=x)≤1
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- A random variable X has the probability function as given in the table below. It is easy to verify that the expected value is 12. Find the variance of X X P(X) 6 .25 12 .50 18 .25x P(x) 0 0.12 1 0.08 2 0.08 3 0.08 4 0.14 5 0.1 6 0.14 7 0.26 Find the variance of this probability distribution.Give your answer to at least 2 decimal placesX P(X) 0 0.2 1 0.2 2 0.11 3 0.43 Complete the distribution table and find Variance of X. 4 ?
- variable with the following probability distribution. Value x of X P=Xx -20 0.10 -10 0.15 0 0.45 10 0.25 20 0.05 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation EX of X . ? =EX (b) Find the variance Var X of X .? =VarXNeed helpFind the variance and standard deviation of the probability distribution of a random variable X which can take only the values 3,5, and 7, given that P(3) 30 P(5) =, and P(7) = 20 13 %3D 2.
- Complete the values of P (X = x) to give a legitimate probability distribution for the discrete random variable, whose possible values are -1, 2, 4, 5, and 6.The table shows the probability distribution of the number of days (x) to complete a construction project by a contractor. x f(x) 1 0.104 2 3 0.312 4 0.240 5 0.098 6 0.017 13 If you doubled each number of days to completion in the Days (x) column, the variance of days to completion will be _________. a 5.710 b 4.758 c 3.965 d 2.855Use the probability distribution to complete parts (a) and (b) below. The number of defects per 1000 machine parts inspected Defects 1 2 4 Probability 0.264 0.289 0.238 0.156 0.037 0.016 ... (a) Find the mean, variance, and standard deviation of the probability distribution. The mean is 1.5. (Round to one decimal place as needed.) The variance is (Round to one decimal place as needed.)
- The probability distribution of a random variable X is shown in the following table. P(X = x) %3D 0.1 1 0.2 2 0.2 3 0.3 4 0.1 0.1 (a) Compute P(1 < X < 4). (b) Compute the mean and standard deviation of X. (Round your answers to two decimal places.) mean standard deviationFind the mean, variance, and standard deviation of the following probability distribution by completing the tables below.please answer a,b