(1) P(X = 2) P(2 < X < 4).

Q: 1. drxln(x) (r+2)(x+4) ; 2. drxrª (x+3)(r+5) 0 < a < 1

A:

Q: (e) x² - 4x+4 <0

A:

Q: Section I 3. Suppose that X is a discrete random variable with pmf |4- r|+ 4 f(z) for =-6,-3,0,3,6,…

A: Solution

Q: 9. Show that the distribution, for which the characteristics function is e, has the density function

A:

Q: f(x) =< f(2)= 4x+5 if -1<x<2 3x-8 if 2≤x≤4

A:

Q: x2 3-x if x2 f (x) = Find a)f (1) b)f (3) c)f (2)

A: Consider the given function for value of x≥2. fx=x2 Consider the given function for the value of…

Q: (x+1 0SxS2 f(x) = { Then what is the result of| ($2) dz 5

A:

Q: Determine the value and location of any inflection point of h. Enter the solution in (x, h(x=…

A: Given function is Now differentiating it twice we get  Noted that there is no x for which  , In…

Q: f(x) — 3(8х- х?)/256 for 0<x. Determine P(2<X<4)

A: It is given that,

Q: If 90% of the athletes who test positive for steroids in fact use them, and 10% of all athletes use…

A:

Q: -3 1] Find P(A) for p(x) = x² + x – 2 where A 2.

A:

Q: For f(x)-2x?+5х +7, fin f (a +h) – f(a) if h ±0. h

A: Given that:fx=2x2+5x+7To find:fa+h-fah

Q: 4(x-3)-2(3x+1)<1

A: Given, 4(x-3)-2(3x+1)&lt;1 We will solve this inequality for x

Q: (d) P(X > 7) = i (e) Determinex such that P(X < x) = 0.99. X = i

A:

Q: 13. Find [f• g](-4) for f(x) = x-8 and g(x) =-x² +2.

A: Given thatf(x)=x-8g(x)=-x2+2to find fog(-4)

Q: P(x) = . Let and let = 10. Find P(9) x!

A: We have to find p(9)

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

A:

Q: 4. For f(x) = x² – 3x, evaluate a) f(2) [2,3,3] c) the value of x when f(x) = 4 b) f(m + 1)

A: Given,              f(x)=x2-3x

Q: (2x +1 f(x): 1-2x+3 if x21 if x<1 10 8- 10-8-64-2 68 10 하 2.

A: We have to draw the graoh of given piecewise function. Please see the conclusion below.

Q: L. nft 7r 2x+1 1 4) f(x) = 2 I- 3 < 1 f(1)= f(-2)= f(6)=

A: The given expression is:

Q: 5.) Evaluate f(-3) for f(x) = x³ +3x + 17

A: Given  f(x) =x3+3x+17

Q: |x−2/2−1/2|<1

A:

Q: (c) Determine the following: (1) P(X = 1/2) (ii) P(< X <³) (iii) P(1 ≤ x ≤ 2)

A:

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

A: Given that,   Where p(x) denotes a polynomial and d(x) denotes a divisor.   Q(x) is quotients and…

Q: On step 3, why is it that you're substracting 1 from [ P(x=0) + P(x=1) + P(x=2) + ......P(x=9)] ?

A: Let the R.V X denotes the number of computers has virus and it follows the binomial distribution…

Q: 3/4(8y-9)&lt;3

A: We multiply both sides by 4 first.

Q: For f(x)=12x¹-44x² −8x³ + 2x² −6x² +72x² −24x+8, compute f(2), roots of f(x) and plot for 0≤x≤ 30

A: The function given is as follows: fx=12x10-44x9-8x8+2x7-6x3+72x2-24x+8 We are asked to find the…

Q: What is the smallest integer a where f(x)=2x is always greater than g(x)=x2 for all x>a?

A: Given  : f(x) = 2x is always greater than g(x)=x2 for all x &gt; a  Implise that :  2x &gt; x2

Q: 7.) For the functions f (x) = 3x2 – 5x +7 and g(x) = 4x +8 find (f • g)(x)

A:

Q: 12x iet f (x) = 2x-17 for x 10 a. Find f(4)=_ b. Find f(24)=.

A: The probability density function is fx=12x-17 , for x&lt;106x+2 , for x≥10.

Q: f(x) = 6 -5 for for //x+5 for Find f(2) x 2

A:

Q: 4 2. Use f(x)=x². -3 x - 7 to answer: (a) f(0) 2 < x < 6 -2 < x < 2 otherwise (b) f(2) (c) ƒ(5)

A:

Q: Let X~N(3,0²). Suppose that P(3<X<6)=0.4 · find P(X<0) ?

A: Given: X~N3, σ2 and P3&lt;X&lt;6=0.4.

Q: Let f(x) = x² + 4x and g(x) = 2x+6. Find each of the following. You do not need to simplify but can…

A: