1. If X is the number of points rolled with a balanced die, find the expected value of i. find the expected value of X find the expected value of g(X) = 3X +5X + 7. ii.

Q: A sample of n = 4 scores with M = 43 is selected from a normal population with u = 40 with o = 8.…

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Q: If E (X) = ? and var(X) = ÷, find: 8 5° (a) Expected Value, E(2X – 3). (b) Variance, var(2X – 3). -

A: a)E2X-3=E2X-E3=2EX-3E1=258-31=108-3=54-3=5-124=-74

Q: Consider an investor who is indiferent between stocks B and C and has the coefficient of risk…

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Q: For a population with μ = 80, and σ = 20, the distribution of sample means based on a sample size of…

A: The expected value for the mean of .

Q: Find E(Y), the expected value of Y.

A: We have to find expected value of Y i.e E(Y) = E(e-X)

Q: What are the circumstances that motivated W.S Gosset to formulate t-distribution?

A: t-distribution :  t=x-usn~tn-1 t-distribution is used when sample size is small and parent…

Q: Determine the expected value of g(x,y) = (X^3)+(Y^2)

A: Solution

Q: It was observed that around 90% of a certain ceramic sample fractures within 5 hours once subjected…

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Q: Since P {x=-1} = P {x=1} = 1/2 , calculate the expected value and variance of the X random variable.…

A: Solution: From the given information,

Q: 20. The maximum tension that can be tolerated by a certain type of rope is normally distributed with…

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Q: Q4: The strength of the cubic concrete of the first line production is 110 N/mm and standard…

A: Let U be the strength of the cubic concrete of the first line production V be the strength of the…

Q: 2. The intelligence quotient (I.Q) of a large number of students is normally distributed with mean…

A: Let 'X' be the random variable representing the I.Q. of a large number of students. X~N100,10…

Q: Suppose X ~ a) Find the expected value of the cost per loss, E [Y,]. b) Find the Variance of the…

A: Given X~Parα=4, θ=300 with d=20

Q: A product with an annual demand of 1,000 units has Co = $24.50 and C₁ = $9. The demand exhibits some…

A: a) The given information is as follows: Annual demand, D=1000Co=$24.50Ch=$9μ=25σ=5

Q: Derive the formulas for the mean and the varianceof the Poisson distribution by first evaluating…

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Q: If E denotes the expectation the variance of a random variable X is denoted as

A: Here use mean and Variance of random variable X

Q: Let æ be the number of heads when a coin is tossed 2 times. What is the expected value E(x)? What is…

A:

Q: Let X be a random variable with expected value 2, and let Y be a random variable with expected value…

A: Recall:      Let X and Y be the random variable with expected values  then…

Q: If E denotes the expectation the variance of a (random variable X is denoted as (E(X))^2 - E(X

A: Given: If E be the expectations then varience of random variable x  Var(x)= (E(x))^2-E(x)  a); True…

Q: A technician discovered that the cumulative distribution function (CDF) of the lifespan of bulb in…

A: Given that,A technician discovered that the cumulative distribution (CDF) of thelifespan of bulb in…

Q: The time, X, to infection for Eagle Flu in minutes, after coming into contact with the virus has…

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 that has a normal distribution with mean u,=10 and variance ơ,=9, Find A…

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Q: (a) If you take the bus each morning and evening for a week, what is your total expected waiting…

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Q: If a random variable X has the gamma distribution with a=2 and B=1, find P(1.6<X<2.5).

A:

Q: The Sarasota Police department collected data on the number of car accidents ( X ) that occur each…

A: ∈X=ΣX. PX

Q: Let X be a random variable with P(X = 1) = 0.2, P(X = 2) = 0.3, and P(X = 3) = 0.5. What is the…

A: Given information: The random variable X has the following probability distribution: X P(X=x) 1…

Q: 3. Suppose that X has a Poisson distribution with h = 80. Find the probability RCX< 70) based on the…

A: Given that, h= 80  It means that  Mean= 80 which is greater than 10. So normal approximation is…

Q: y -2 1 4 -1 0.2 0.1 0.2 3 0.1 0.2 0.1 0.1

A: We need to find P(X=5)

Q: Suppose X is normally distributed with mean u and standard deviation o. a. What is the probability…

A: We have given that  X~Normal(mu,sigma) Mean=mu  Standard deviation=sigma Note: According to Bartleby…

Q: The following table shows the returns of two types of investments, stocks (x) and bonds (y), under…

A: In the question text , we have been clearly asked : expected return from bonds? What is the risk…

Q: a. Estimate the standard deviation of ŷ * when x=8. b. Develop a 95% confidence interval for the…

A: Given data: X Y 3 55 12 40 6 55 20 10 14 5

Q: x f(x) 20 0.10 25 0.20 30 0.25 35 0.15 40 0.10 45 0.10 50 0.10 compute expected value, variance,…

A: We want to find mean, variance and standard deviation

Q: A sample is selected from a population with a mean of u=65 and a standard deviation of o=15. a. If…

A: Solution: Given data Population mean (μ) = 65 Standard deviation(σ) = 15 To find: Expected value of…

Q: A sample is selected from a population with a mean of m 5 65 and a standard deviation of s 5 15. a.…

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Q: (b) If it costs P15 to repair one defective product, calculate the expected repair cost every time a…

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Q: What is the value of t*, the critical value of the t distribution for a sample of size 6, such that…

A: We have given that Sample size (n) = 6  α = 1% = 0.01

Q: 8) Construct an estimator ĝn from PN (i.e., a formula for ĝN in terms of pN) so that the expected…

A: From the given information, a fair coin was flipped. If it comes HEADS, candidate can answer…

Q: 4. Consider again the random variable with a cumulative distribution function of [5] F(x) = x² /25,…

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Q: A sample is selected from a population with a mean of p = 40 and a standard deviation of o- = 8. a.…

A: Given data,Mean μ=40sd σ=8

Q: If the following table represent aprobability distribution with an expected value of 9. 3 5 7. 11 13…

A: Introduction: If P (x) is the probability mass function (pmf) of a discrete random variable, X, then…

Q: 2. The random variable X is the amount of fructose in apples (in ounces) grown at a local orchard…

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Q: If X has the Beta distribution with parameters a and ß, what is the probability that X equals .50

A: Given that X follows Beta(α, β)

Q: a. Determine b. Determine the expected the expected value of x value of Y

A: EX=∫01X*g(X)dx=∫X2XX+13dx=∫2X2X+13dx=∫2X3+2X23dx=2X4401+23X3301=12+29=0.722

Q: What is the expected value of y if f(y) = 6y + 0.5 and 0≤y≤0.05? (

A: Given , fy=6y+0.5 ; 0≤y≤0.05

Q: What is the Expected Value of X?, E(X2)?

A: Given that, When a motorist stops at a red light at a certain intersection, the waiting time for the…

Q: If x has the binomial distribution with mean 25 1 Find, P X<μ- 20). 5 and probability of success…

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Q: A poultry farmer supplies eggs to major supermarkets in Accra for sale to the general public. He…

A: The null and alternative hypotheses are stated below: H0: P1= 2/3and P2= 1/3. Ha: At least one Pi is…