Suppose that X N (3, 5). 1. Find P (X > 1).e k. Find q such that P (X < q) = 0.2.4

Q: Given X~ N(20,16), find c. P( 19 < X<23) (4 decimal place)

A: X~N(20,16) Mean(μ)=20 Variance(σ2)=16 standard deviation(σ)=16=4

Q: 1 Find Vf if f = 2 /x²+y² +z?

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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: Let X - U[10, 30] and A = {x < 15}. 1. P(A) = 2. E(X|A) =

A: Given: X~U10, 30 and A=x≤15

Q: (b) Determine the value of k for which p(x) = k (0.01)*, x=1, 2, 3, ... x-1

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Q: Let f (t) = L1 {}. -3s Find f (7). 83 32

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Q: If s(-2) = 1 and s'(x) < −3 on [-2,9],

A: s(−2)=1 and s′(x)&lt;−3 on [−2,9], Using the mean value Theoremf′(c)=f(b)−f(a)b−a

Q: 3. 2. 4. LEA f(x) 192 2 6. -1 nisg(x) 0sbi bne gni2lot ent bnit 1 (x)04 x- 5 . Use the tables above…

A: a)Let us take  But from given table Since inverse of f exists , so f is one-one Therefore, we have

Q: Find mzHGI.

A: Our Aim is to determine the angle HGI=?

Q: Evaluate the function at the given value of the input r6) = -9 p³ – 2 7 + 2, tmd r (-). O1.375-

A: Here we have to put the value of 'p' in the given function to get the solution.

Q: 3. Let h(x) = (f og)(x). Given f(x) = 3x2 +5 and g(x) = Vx – 3. a. Evaluate h(4). b. Determine fx).

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Q: 1. 1 7(x+-) 2 2 (x+1)B(x+x) 4x+1 Q.7 Show that : B(x+ 3. 3. x+

A: There is a correction in the right side of the question.So i have improved the question and solve…

Q: The given table indicates the transactions at a bank for one teller for one day. Letting C represent…

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Q: 8. Find an injective function from P(N) × P(N) into P(N).

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Q: 55. By normalizing the function f(x)==-defined in the domain [0, 2], we will get as a result the…

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Q: 4. Choose the statement below that can NEVER be true. O A. I f(x) > 0 B. | f(x) | 20 OC. If(x) < 0…

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Q: 10. Let f(z) = 4z7z²+3z +1 and g(z) = 4z7. Show that f(z) - g(z)| < |g(z)| for |z| = 1.

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Q: (3–x*) ane d 2x. Calculate the Wronskian of functions

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Q: Let g(x) = Vx, for x= 16, 36, 49, be a probability mass function. 17 a) Find the cumulative…

A: given: g(x) = (1/17)√x , x = 16, 36, 49. G(x) = Σ-0x g(x)   for x &lt; g G(x) = 0 for 16 &lt; x &lt;…

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

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Q: 1-2x (c) Determine the values of a, b and c if =1+ax+ bx? + cx. Hence, by 1+2x, 1 show that 2 s 3,…

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Q: 2-2x find (fif) G) to use f Cx) = x

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Q: 1.) Let f(x) = 7 + What is f(3 + h)?

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Q: Find x such that g(x)=8

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Q: Find real numbers a,b,c,d such that And then find f'(z) =? f(x) = x² + axy + by² +1(cz² + day + y²).

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Q: Answer d and e

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Q: 2. If f(x) = 3x³ + 2, find a number c between a = -1 and b = 2 such that f(x) dx = f(c)(b - a) -1 A.…

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Q: Let P(A) = 0.4 "and " P(AU B) = 0.6. For what value of P(B) are A "and " B are independent?

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Q: 2 Let f(x) = 4x² - 3 to find the following value. f(t+1) Don f(t+1)=

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Q: Q. 1.1 Let X1,.,X10 * B(1,0). Let Ho : 60 = | and H1 : 0 = . We reject Ho if S = E X; < 3. Find the…

A: Given that  We have to find the power function of test :

Q: Show that exp(z²)| ≤ exp(|z|²) for all - E C.

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Q: Let F(n) = Ea2n P(d). Show that if F(1) = 1 and that if n > 1 factors as %3D am then la:/2] a1 F(n)…

A: Given problem is Fn=∑d2|nφ(d). The main objective is to show that if F(1)=1 and that if n&gt;1 can…

Q: Suppose that the inventory of a certain item t months after the first of the year is given…

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Q: • If x = -0.8, then [x- 1] = %3| 1. -2 2. -1 3. -0.8 4. 1 1 0 2 О 3 O 4 O

A: Note: We are required to solve only the first question, unless specified. The floor function [x],…