If P(A) 0.3, P(B) 0.2, and P(An B) = 0.1 Determine P[(AU B)']

Q: d) the conditional pdf of Y given X. e) E(Y|X = -1)

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Q: 1. Suppose that the random variable X has the pdf given by T(a+B) pa-1(1 – x)ª-1 Г() f(x) = for 0 <…

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Q: a. Determine the marginal p.d.f.'s of X and Y. b. Are X and Y independent? c. Are the event (X 1/2}…

A: It is asked to find the marginal pdf's of X and Y. Marginal pdf of X. fx(x) = ∫0132y² dy=32∫01y²…

Q: d. Find an equation of the normal line to the graph of y = √x + 1 at the point (3, 2).

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Q: The analysis of tooth shrinkage by C. Loring Brace and colleagues at the University of Michigan’s…

A: a) Plug y=0.99y_0 and t=1000 , y_0 cancels. Take ln on both sides to solve for k.

Q: Given that P(X = 2) = 45P(X = 6) - 3P(X = 4) for a Poisson variate X. Find a. P(X > 1) b. P(X < 2)

A: First we have to determine the parameter of Poisson variable X with the help of given equation.

Q: 4. Suppose that O is a uniform random variable on the interval (-1/2,1/2). Let T = tan 0. Find the…

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Q: Derive the MGF and factorial moment generating function of X using this given PMF:

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Q: IF X has an exponential distribution with the parameter 0 an Hy = 202, where 0 >0 then find µx, a,…

A: Given that X has exponential distribution with parameter θ. μx=2σx21θ=2*1θ2θ=2 Therefore,…

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Q: a variance of 0.27. Test the company's claim at a = 0.05. n241

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Q: Question 6. Suppose that Y has the pdf fy(u) = 1, 0 < <1, zero elsewhere. Let X =-7 In(Y). Then, the…

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Q: 11) If X be a r.v. from exponential distribution (x)= e- ス>0, x20 Then the moment generating…

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Q: (1) Let X = b(16,) find E(4-3x) and distribution function.

A: From the provided information, X~b (16, 1/4) Sample size (n) = 16 Probability (p) = 1/4

Q: 2.) Find the Equation Of the normal line to the wrue y= 3x-2x +1 at P( 1,2)

A: Topic = Derivative

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Q: 5.29 Consider a one-way road where the cars form a PP(A) with rate A cars/sec. The road is x feet…

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Q: If the pdf is K/1+x^2  0 < x < 2, Find K

A: To find K , from the probability density function: Given: Probability density function:

Q: (1) Let X b(16, find E(4-3x) and distribution function.

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Q: Suppose that a population P(t) satisfies dP P F (1-500P), dt 2 where t is measured in days. Ast → ∞,…

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Q: he population y(t) of a certain microorgani ts quadrupling time is found to be 19.4 hou

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Q: Two Models estimaled rates of Country over the period 1970- 2002 are MODEL 1:- 66.98-2-764DP-8.98CPI…

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Q: Suppose that L = 27, a2 = 1, and the initial temperature distribution is f(x) = 27 - x for 0 <x< 27.…

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Q: et Xi- Nco,1) and n=2 T=X,+Xz Show that Tis Sufficiencs y Statistic

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Q: Two RVs X and Y have the joint characteristic function ø.y (@1, 02) exp (-2 w† – 8 ož). Show that X…

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Q: Let Xi. ---- Xnd Glle e) and Tet TX = Exi , a) show tha T) is unbiased estimator for WcO) =nG: E…

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Q: Suppose that L = 27, a = 1, and the initial temperature distribution is f(x) = 27 - x for 0 <x < 27.…

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Q: ( If X₁, X2,..., Xn constitute a random sample of size n from a population given by 2(0 - x) for…

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Q: in c nurmal disribution X= S and Z= -1.23 thờ tlis Yon that X-5 the mean Stardard devictens to The

A: It is given that X = 5 and z = -1.23.

Q: (1) Let X = b(16, find E(4-3x) and distribution function.

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: D. Obtain method of moments estimators for a and b.

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Q: Let {Xi} from i to n be IID from Bernoulli(p). Find the MQ estimator of p.

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Q: 1. If X,, X2, .X, forms a random sample of size n from a population with pdf f(x; 8,8) = 0 for x>0…

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Q: 11) If X be ar.v. from exponential distribution S(x) = de A>0, r20 Then the moment generating…

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Q: . oc 22.9. Show that if A occurs in a larger proportion of cases where B is than where B is not, hen…

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