(8) Let X-b(n,p), with E(X) = 6 and var (X) = 4.2, then P(X ≤ 6) = 0.608.

Q: Find the c value satisfying MVT for f(x) = 3x² + 2 in 1 < x < 5

A: Given: fx=3x2+2 in interval 1&lt;x&lt;5

Q: 5) — = [(-D)" (2-1)", when 12-1}<1. n=0

A: Introduction: A geometric series is a type of series which is in the form as follows:…

Q: For f(x) = 2-x4/3 + x, use the 2nd- Deriv. Test to find any local max or min

A: to find local max or min.

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: For the PMF Px(x) = = 2 x = 1, 3, otherwise. " calculate Var[X].

A: Answer:- Given pmf is  Px(x) = 1/2 , x= 1, 3  Px(x) = 0 , otherwise.  Using formula,  Var[X] = E(x2)…

Q: If Var[x]=0.4, what is Var[2x+1] = ?

A: According to the given information, we have Var[x] = 0.4

Q: X~N(100,9). That is, E(X)=100 and Var(X)=9. Find Prob(60<X<80).

A: Given that  Given that.   X~N( μ , ?^2 )   μ=100    , ?=3   Z-score =( x - μ )/?

Q: Prove that Var(E(Y|X)) ≤ Var(Y)

A:

Q: For what values of x is Ax) concave down if f "(x) = 3x' – 14x² + &r?

A: Given that, f''x=3x3-14x2+8x For what value of x is fx concave down.

Q: -2 Suppose f(x) = f(x) dx Evaluate: A - In (2) B - 4 3 16 D In (2)

A: Solution... Answer is.  Option..(B)

Q: 119. If f(x) = a*, show that f(A + B) = f(A) • f(B).

A: Given: fx=ax For finding fA+B, we put x=A+B in given expression and simplify it

Q: D) Identify the even function among the following. A) f(x) = 2|x| - x² %3D B) h (x) = 2x – x² %3D C)…

A:

Q: The function f(x) - 4x³ +7.56x² + 366.2004x + 7.99 is increasing on the open interval ( = It is…

A:

Q: If the Var[X] = m then how do you find Var[X-k]? E[X] = k.

A: We have given information, VarX=m EX=k

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

A:

Q: f(x)  =  x3 − 3x2 is increasing on the interval  0  ≤  x  ⩽  1 TRUE OR FALSE?

A: Given: f(x)  =  x3 − 3x2     To determine: The interval of increasing.

Q: 5) Evaluate F dr where F(r, y) = ry i + j, , r(t) = ti+ 3t j, 1<t<4 %3D

A:

Q: Given f(z) 3D 1-홀 (7+ 3x) + 을(7+ 3x)2- (7+3x)" then f'(z) =. -을 + 꼴 (7+ 3z) -(7+3x)2+ | .... -글 +…

A:

Q: Let f(x) Find f(-4) = Sx² +5 (5x2 +5 कर x < 1 x ≥ 1

A:

Q: Suppose X and Y have the following joint PMF. æ\y_ 1 2 3 4 1/6 1/6 0 1 1/12 1/12 0 1/12 1/12 0 1/6 0…

A:

Q: 5. Suppose that E[X] = 2 and Var(X) = 6. (a) Compute E[(X + 1)²]. (b) Compute Var(4 + 3X). (c)…

A: E(X)=2, V(X)=6

Q: d. Compute E(X) and Var(X).

A:

Q: Suppose f(x) = Evaluate: f(x) dx (A - In (2) (B) 4 3 16 (D) In (2)

A:

Q: 1) Find the intervals of increase and decrease for f(x) = t³ + 3t² + 1. (Use interval notation when…

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: ƒ(6) = -tan(x + ²) where -n ≤0 ≤n?

A: we need to graph the function   where explanation and graph in step 2

Q: Find the range of the function f(x,y)=803+2511007-x²-y² [803 8768.04909 1

A:

Q: Let f (x) =: 5 +e'+ tanx+ 12*+Vx. Find f (x). For the toolbar, preco

A: On solving this we will get

Q: If f(x1..... ,e) =g(6,0) h(x,.. ), then %3D Select one: a. consistent b. efficient C. sufficient d.…

A: sufficient estimator:-An estimator "θ^" is said to be a sufficient estimator for θ if it containsall…