Then P(X > -2) is:

Q: g(x) = [x +5 if x  ≥ -5 and -(x + 5) if x < -5]. Evaluate : a. g(0) b.g(-6) c. g(-5)

A:

Q: d) P(-1< Z <1.8)

A: d) P(-1&lt; Z &lt;1.8)

Q: Let X- N (8, 64), Find P ( 8< X< 16).

A: Standard normal distribution: The standard normal distribution is a special case of normal…

Q: Let f(x) = x² + 5.5x + 722 . Which of the following is equal to f(x + h) – f(x)? %3D O x² + h? + 2xh…

A: Given that f(x) = x2 + 5.5x + 722. We have to find the value of f(x + h) - f(x).

Q: Suppose Var(X) = 32, Var(Y) = 47, and X and Y are independent. What is Var(.15X + .85Y)?

A: Given, a  and . and  are independent random variables.It is required to find the .To solve this…

Q: Use the set A = {2} to determine n(A). n(A) =

A: We have given a set  A=2 Number of elements in set A is 1. nA=1

Q: 1-у Evaluate Apxp(x + )s-Y T

A:

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..

Q: Given f(x) = 2-4x | find f(-1). x-x+8 O A. . - | 16 OC. 16 - O E. - B. 114

A: We need to find value of f(x) at x= -1

Q: Consider a small shop with only one checkout counter. The arrivals of customers are distributed…

A: Solution Dear student as per guidelines we answer the first question only when multiple questions…

Q: If x>Q3 + 1.5 X IQR then x is an

A: We call a data point an outlier if it lies 1.5 times IQR below the first quartile (Q1) or 1.5 times…

Q: 2 Let g(x)= -x + 3x + 4. Find g(p). g(p) =

A:

Q: The characteristic of Z6 x Z, is 18.

A:

Q: Suppose Var(X) = 88, Var(Y) = 17, and X and Y are independent. What is Var(.28X + .72Y)?

A:

Q: Given q(r) = ? - 9, evaluate. q(-3)

A:

Q: Find the difference quotient for f(x) = 4x² - 2x + 7

A: Consider the function fx=4x2-2x+7. The objective is to find the difference quotient for the given…

Q: 上耳 7. 2 2 J ancd Re, .3 4 . 3 find p+Rt[tP+P}+R]+ [P+ (@+R}]reR

A: Given P=2316, Q=1234 and R=1231 1) Q+R=1234+1231         =1+12+23+34+1         =1465 2)…

Q: If P(x) = x +x+ 4, find P(7). P(7) =

A:

Q: Suppose U = R. let p(x) : x 2 − 2x − 15 < 17, then the statement u : ∃p(x) is (true or false).

A:

Q: P(|X|> 0.4)

A: X~t(20)

Q: Evaluate (x – 3) Vx + 3 dx |

A: Given : Integral (x-3) √(x+3)

Q: Suppose that P(A) = 0.12, P(B) = 0.40 and P(B|A) = 0.60. (a) What is P(A and B)? (b) What is P(A…

A:

Q: a. Evaluate g(6) b. Evaluate If f(x) = 3 - x and g(x) = 2x² + x + 5, then

A:

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

A: Given  f(x) =x3+3x+17

Q: For X - N(8, 6²), what is P(16 < X < 20)?

A:

Q: If X: N(132,100) find P(122<X<142)

A: Given : X follows a Normal distribution  with Mean  = 132 Variance  = 100 Standard deviation  = √…

Q: If t<0 andt2-4=0what is the value of 3t+5?

A:

Q: Suppose Var(X) = 43, Var(Y) = 36, and X and Y are independent. What is Var(.67X + .33Y)?

A: GivenX and Y are independentVar(X)=43Var(Y)=36

Q: Given G(t) = 3 – 7t, evaluate. G(-3)

A: Given that  G(t) =3 - 7t

Q: Prove that x -2x+2>0 for value of x.

A:

Q: The x-values satisfying that 2x² + 5x – 12 > 0 is:

A: We have 2x2 +5x -12≥0

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

A:

Q: a) k(-13)  b) k(9) c) k(26)  k(-13)=  Given the function k described by k(x)=6x, find each of the…

A: (a)Given information:

Q: Suppose Var(X) = 71, Var(Y) = 12, and X and Y are independent. What is Var(.59X + .41Y)?

A: The objective of this question is to find the variance of the linear combination of two independent…

Q: Let X represent the difference between the number of heads and the number of tails when a coin is…

A: Given that: Total number of times a coin tossed, n=36 To find: Probability of getting the difference…

Q: Suppose X - U(2, 7). Determine P(X > 6 | X > 5). Note: This is a very challenging problem.

A:

Q: Let P (x) = 2x - 15a + az?+ bx + c, where a, %3D Given that (x - 5) is a factor of P (r), find a…

A: It is given that,  P(x) = 2x4 - 15x3 + ax2 + bx + c It is given that, (x - 5) is a factor of P(x).

Q: clude four decimal places.) ote: This is a challenging problem. а. Р(X > 5) - || b. Р(X 7| X > 5) =

A: Given Hello. Since your question has multiple, we will solve first question for you. If you want…

Q: what does y(x)=____

A: Consider the equation

Q: Find P(-1.96 <Z< 1.96) PDF 0.0 0.2 0.4

A: Explanation:   The probability that P (-1.96 &lt;Z &lt;1.96) is: P (-1.96 &lt;Z &lt;1.96) =…