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

Q: Prove that if n is a +ive integer,

A: Given that, M xddxnf(x);p = (-1)npnF(p) We can prove this by mathematical induction.

Q: Find 3 values of r n =120 o(n) such that

A: Ok

Q: Evaluate Sx (x – 1) (x – 2) dx |

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Q: 10 Sx³ex¹⁰dx= (Type an exact answer.)

A: Given integral is as follows

Q: Let X - N(2, 4). Calculate P[X2 – 4X < 4].

A: P(X2-4X≤4)=0.7602

Q: 11. What is the second term of (m + n)? O 125m*n O25m'n O25m O5m*n 12. One zero of flx) =x' + 2x-…

A: Solution: (m+n)5

Q: Let n 2 2. Assume that Fn is prime. show that Fn = -1.

A:

Q: 1. Prove L = re L 0 r

A: Circumference of a circle with radius r is

Q: Let n be a positive integer. Define the function fn (2) by d fn (2) = n(2² + Find the value of f(-1…

A: Solution:Given: Let be a positive integer. the function is defined bywe have to find the value of

Q: determine L−1[F].

A:

Q: 15. Find x so that m || n. (5x – 20)°

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Q: Find a number x such that x + 1 / x − 2 = 3x

A: The expression could be x+1x-2=3x or x+1x-2=3x. If the expression is x+1x-2=3x, then…

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: A function f(x) is given as e* * (x2+5x+2) + 1 = 0. Let a = 0 and b = -1. Find the root between a…

A: Root of function f(x) is the value of variable x for which f(x)=0. That is, the point where function…

Q: O we N. P.M. to estimate the root of -X for on initial guess of Xo

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Q: Let n be a positive integer. Define the function fn(z) by dn dzn Find the value of fn(-1+i).…

A: Solution:Given: Let be a positive integer. the function is defined bywe have to find the value of

Q: Let X~ N(20,9). Find P(X < 23) Select one 0 1587 b 0 *c08413 P. d 05398

A:

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: y=x² y=2-x

A: Given y=x^2 and y=2-xThen calculate derivative for above functions

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

Q: Let X N(10, 23). Then P( X< 10) =

A:

Q: Find the constant C such that * x3 – 3x + 8 < C, where x e [0, 3] | 18 O 23 14 17 O 26

A: We have to find c

Q: determine L−1[F].

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

Q: If g(x) = 5 – x³, find g'(0) and use it to find an equation of the tangent line to the curve y = 5 –…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 2y 2 Given that 7* ×49' = 1 and 5x x125 3 1 calculate the value of x and of y. 25

A: