Let X ~ N(2,4) and Y = 3 – 2X. Find P(X > 1). O 0.7512 O 0.2147 O 0.6915 O 0.2095

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A: This is integral by substitution. As given in the hint we can substitute u=t2 to solve the given…

Q: Suppose X ∼ B I N ( 6 , 1 3 ). Find P ( X = 2 ). Express your answer as a decimal rounded to 4…

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Q: Evaluate. Assume u > 0 when In u appears. fx²¹x¹² dx. ote √x¹¹ ex¹² dx = 0 (Type an exact answer.)

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Q: Ive for æ if In(x? – 1) = 0.

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Q: SONe for J GE 12+2J

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Q: determine L−1[F].

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A: We have given a standard normal distribution. We have to find the z-score corresponding to the…

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A: Given operation is p * q = p + qq

Q: X 0 1 2 3 P(X = x) |0.512 0.384 0.096 0.008 Find P(more than 2 identifications are incorrect).

A: From the provided information, x 0 1 2 3 P (X = x) 0.512 0.384 0.096 0.008…

Q: iid Let X1,, Xn N(u, o). Find 2(n 3) (X2+ + X(n-2)) + 16 X(n-1) +Xn if,E(i) 16 17(n-2) 16(n-3) 4…

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Q: Q1 If A 010 1 Par API AYA² KA ナ show That:

A: If , show that .

Q: for any natural number m. evaluate I/m +3x" + 6)" dx, x > 0. 3m 2m +x" ) ( 2x' 2m

A: Given integral can be evaluated as shown below

Q: Find the values for X2Left and X2Right for α = 0.1 and n = 41 .

A: Solution: From the given information, α=0.1 and n=41.

Q: Given the following values f (x) 3x y, = 1 and y, = e and W = - and A Determine the value of u. A ",…

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Q: Alpha (a) Form of the test two-tailed d.f.(=n – 1) toritical AUC 0.10 31 (23) (±2.50) (0.02) )( )…

A: Following table is given Alpha(α) Form of the test n d.f. (=n-1) tcritical Area under curve…

Q: X-H for H, when z = 1.81, x = 33.5, and o = 2. Solve z = (Type an integer or a decimal.)

A: Given , z = 1.81 x  = 33.5 σ = 2 We have to find mean ( μ )

Q: Let P(A) = 0.3 and P(AUB) = 0.7. For what value of P(B) are A and B independent? O4/7 1/4 O 1/3 O…

A: Given: P(A) = 0.3P(A ∪ B) = 0.7

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A: To find the are S of the shaded region in the figure if fθ=θ2+3θ Note that θ varies from 0 to…

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Q: determine L−1[F].

A: Given Data The function is F(s)=4/(s+2)3.   The general inverse transform rule is,

Q: Let X=(1,0, – 1,- /2)'. Then, ||X||, = Select one: а. -V3 O . 2+V2 C. -V2

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