Problem : If the Cumulative Distribution Function of X is given as: 2. F(x) K 3K 5K 8K K2 +8K ЗК2 + 8K 1ОК2 + 9К i) ii) Determine the probability function of x. i.e., P(X = x) iii) Find P(X > 1). Find the value of K.

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Q: 2 e IF 2 is a root op P(x) = x³ - 3x² + 2x = K = 0 + Find k

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Q: If f(x)= [2 x] then f(-2.1)= O a) -5/ b) -4.2 c) -6 d) -7 Oe) None of the above.

A: Ans:- (a) -5  For detail...go through the solution...I have solved in detail

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Q: 2. Given x(t), - 2st<-1 ato - x(t) = 2 - 2t -1st<1 otherwise a. Draw x(t) b. Find and draw x(-1- 2t)…

A: Solution is given below..

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Q: 3. Invent two interesting and original positive integers a and b. Let f(x) = ax +3. (a) (b) What is…

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Q: 4. Solve x(x + 6)(x – 8)²(x – 1) > 0 by sketching. Express your answer using interval notation.

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Q: 4. Let h(r) = 5 x 6 20 x²3x18 Find all values of N for which h(N) = 3.

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A: compare this polynomial with the standard form of a polynomial function    so here we have

Q: 9. Solve In (x+5) 2 2. O A. (x | x 2 12.3891} B. (x | x 2 2.3891} O C. (x |xs 12.3891} O D. {x |x s…

A: Given:         ln(x+5)≥2

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A: Step 1: Step 2: Step 3: Step 4:

Q: ind the interval in the real number line which equals 1 U [4+, 20- n n=1 n

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A: Given  f(x) =x3+3x+17

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Q: 10. Suppose X-N (3.2) Find P (22}, P(X>3)

A: Given that v  X ~ N ( 3, 22 )  i.e. μ = 3 ? = 2 By using standard normal distribution we solve this…

Q: 1b. please express in the notation p(x)=d(x)q(x)+r(x)

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Q: For any integer n > 1 find, Hint: Substitute x + √x² + 1 = = U 1 So " (x + √x² +1)″

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Q: Second time I've had to ask this. How does X1-X3=0? How does X2 + 2x3=0? Shouldn't it be 1+4=5? How…

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Q: The value of x which satisfy 3x + 1| < - is : 5.

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Q: The value of x for |x + 1| < |x – 2|

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