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

Q: 1. Let f(x) = 2x² + 1 and g(x) = [x]. Find the following. (a). What is (f ○ g)(x) = f(g(x)) = = (b).…

A: We Know that,  Greatest Integer Function is a function that gives the greatest integer less than or…

Q: 04) Find: V2 +7 - 4x a) Horizontal asymbtote for f(x)D x+3 x² - 4 f(x) a to for

A: Given: a) Horizontal asymptote for f(x)=x2+7 -4xx+3 b)Oblique asymtote for f(x)=x2-4x-1

Q: f X~N(196,20), find x such that Pr(X < x) = 0.563.

A: Given data  X~N(196,220) Normal distribution with mean=196 and standard deviation =20 P(x&lt;X) =…

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: X ~ N (1, 4). Find the value of a since P(-2.5 <X ≤ a) = 0.90

A: Given:-       X~N1,4P-2.5&lt;X≤a = 0.90here ,μ = 1σ2 = 4σ=2 we have to find the value of a=?

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: Let f(x)=4(x−2)^(2/3)+2 . Find the open intervals on which f is increasing (decreasing). Then…

A: Find the critical numbers of the function, when f ' (x)= 0 or undefined.

Q: Determine the global extreme values of the f(x, y) = 9x - 4y if y ≥ x - 5, y ≥ -x - 5, y ≤ 7. (Use…

A:

Q: Let X ~ N(12, 5). Find the value of x0 such that (a) P(X > x0) = 0.05 (b) P(X x0) = 0.90.

A:

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: Compute P(X=7), and Identify N: P(X ≥ N) ≥ 0.025.

A: During the first hour in the office, 6 minutes are spent in average for phone calls. We note by X…

Q: A college graduate is looking for a job. It is believed that the chance of getting a job offer after…

A: we have to find variance for geometric distribution.

Q: Suppose that Var(X) = 934.93, Var(Y) = 11297.02, and Cov(X,Y) = 2912.35. What is Var(.87X + .13Y)?

A: The given .The aim is to find the .The formula used .

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: . f(x) = 2* DA. O(x²) DB. Ω(x) Dc. O(x²) f(x) = [x][x] (floor of x times ceiling of x) DA. O(x²) DB.…

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: Which of the following functions when evaluated at g(v2) gives a value of 9/2? g(x) = x° – 2)2 x2…

A: Put value in given function and check

Q: Option 1 ……... x² + 3 x² + 1

A:

Q: 3. Assume that X is a discrete random variable with moment generating function 3 M(t) = 1a t <…

A: We want to find E(X) and V(X)

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: An efficiency study of the moming shift at a certain factory indicates that an average worker who…

A:

Q: G(n) = (d)o(d) is multiplicative function. If p is prime then G(p*), fork >1 equals dịn Select one:…

A: