For a T distribution, (a) Find P(T < 2.365) when v = 7. (b) Find P(T > 1.318) when v = 24. (c) Find P(-1.356 -2567) when v= 17

Q: Calculate P ( Z > -0.1)

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Q: Let X = b(8,) find E(5+6x) and distribution function.

A: 3) From the given information, X≈b(8, 14) E(X)=8*14=2 Consider, E5+6x=5+6E(X)…

Q: Suppose that 95% of the bags of certain fertilizer mix weigh between 49 and 53 pounds. Averages of…

A: The central limit theorem studies the nature of the sampling distribution of the sample mean when…

Q: P(z<2.25)=

A: Given Information: To find out Pz&lt;2.25

Q: A distribution is given as X ~ Exp(0.75). What is m?

A: Exponential distribution: A continuous r.v. X taking non-negative values is said to follow an…

Q: A customer service representative must spend different amounts of time with each customer to resolve…

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Q: The first four moments of a distribution about x=2 are 1, 2.5, 5.5 and 16. Calculate the four…

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Q: flx) = kx² (1-x) {kx 04 x 41 Mervise ther If the) is a p.d.f, Fund k b) Find the mean, mediany mede.

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Q: The amount of time a service technician needs to change the oil in a car is uniformly distributed…

A: Solution: Let X be the time needed to change the oil on a car. From the given information, X follows…

Q: P(z < 2.56) =

A: Draw the graph that represents the area to the left of the normal curve.

Q: r = 0.5, Exy = 120, Er = 90, o, = 8 where x and y are deviation from arithmetic average. Find the…

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Q: Let X ∼ N(2, 4). (a) What is the distribution of (X−2) /2 ?

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Q: Let X - T(28). Find P40(x) (50th percentile of X)

A: The (100p)th percentile is the value xp of the distribution such that (100p)% of the distribution…

Q: Let X a b(4,) find Var(3x) and distribution function.

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Q: For a highway, the car's speed has a uniform distribution [50,90]. Cars are stopped if speed X is…

A: It was stated that the car's speed has a uniform distribution [50,90]. Cars are stopped if speed X…

Q: The length of human pregnancies from conception to birth follows a Normal distribution with a mean…

A: Given that  μ=266,σ=16 X~Normal(μ=266,σ=16)

Q: Suppose that the function f(x) 20.25 average molecular speed for this distribution? Write your…

A: Solution is given below:

Q: P(1.15 < Z < 2.77) =

A: X~N( 0 , 1 )   μ=0 , ?=1 (for standard normal distribution)   Z-score =( x - μ )/?

Q: at x=3.

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Q: Find the p values as a range (to 3 decimals places) (a) right tailed test  t=1.457, d.f. =14.…

A: From given  t=1.457 d.f. = 14

Q: Calculate the coefficient of variation of a distribution with n-10, Σχ*h= 110 and Σ2.-2 35. Answers:…

A: The formula for coefficient of variation is given by: CV=σμ×100 Here μ=∑x·f=110 and ∑x2·f=1235 and…

Q: The median of the distribution X having p.d. f. f(x) = {3x",0 < x < 1 0 ,0.w. %3D

A: We have to find median for given pdf.

Q: For a chi-squared distribution, find (a) x²o.02s when v = 15; (b) x²o01 when v = 7; (c) x³o.0s when…

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Q: 4. Use the t-distribution to find t. values such that following statements are true. a. = 0.95,…

A: We have to find t value from t table.

Q: (Q2) A store room measured in length equal to (5m + 3 cm), measured width equal to (4m 2cm) measured…

A: Given, Length =5m +3cm=500+3=503cm, Width =4m+2cm=(400+2)cm=402cm Height =3m+4cm=(300+4)cm=304cm.…

Q: variable X, representing the average time to failure for an automobile battery,can be written as:…

A: Here, the distribution of the variable X, represent the average time to failure for an automobile…

Q: The time (in minutes) it takes Greg to complete a homework problem is uniformly distributed…

A: X=Time it takes to complete a homework problem X~Ua,bwhere, a=15 and b=28hence, X~U15,28

Q: Use the central limit theorem to find the mean and standard error of the mean of the indicated…

A: The provided information is  µ=117 σ=39.8 n=20

Q: The supermarket owner buys newspapers for 20 cents each and sells them for 80 cents each. The demand…

A: Given that, The demand for newspapers follows a uniform distribution over the interval [0,100] and…

Q: 3. Let X~~ Pois (4). Find the distribution of Y = √X. 2

A: the distribution of y = √x when x follows a Poisson distribution with parameter λ = 4, we need to…

Q: Find P(A' and B) from the following. P(A)= 0.46, P(B)= 0.48 and P(A and B) = 0.21

A: Answer: Given that, P(A) = 0.46 P(B) = 0.48 P(A and B) = 0.21

Q: How often was it above - 3°C at noon in Ajax last winter?

A: The noon-day temperature (in °C) in Ajax last winter can be represented by the normal distribution…