Suppose that X ~ N(-7, 14). Find: (a) P(X<0) (b) P(X>-10) (c) P(-15

Q: Suppose that |a − 6| ≤ 2 and |b| ≤ 3. (a) What is the largest possible value of |a + b|? (b) What is…

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

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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: 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: x2+9 x -1D <0 10<0

A: The given inequality is  x2+9x-10&lt;0 To solve this inequality we firstly find the critical…

Q: uppose Var(X) = 93, Var(Y) = 98, and X and Y are independent. What is Var(.6X + .4Y)?

A: Answer: - Given,  Var(X) = 93, Var(Y) = 98, and X and Y are independent.                 What is…

Q: fnd all xeR where -5x (x+) n=2 ナS is Convergent- +5

A: We have to find all x∈ℝ such that the series ∑n=2∞ -5xx+1nx+1n-1+5x+1n+5 is convergent. We know that…

Q: (8) y=x +5 -6 -5 -2

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Q: | 3(x + 1) + 6|s 15

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Q: a² +7< 3 - |5x - 3|.

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Q: (а) 3х < 5х—8 |

A: Topic:- inequality

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

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Q: (a) P(X 6) when A= 4.5 P(X= 6) = (b) P(X 9) when A = 5 P(X ≤9) = (c) P(X>6) when A = 3 P(X> 6) =

A: We know that, The probability mass function is,  P(X=x) = (e-λ×λx)/x!  Where,  λ &gt; 0  x = 0, 1,…

Q: 68. (t + 4)(t + 4)(t - 4)(t - 4)

A: We will use here the property a2-b2=(a+b)(a-b)

Q: 45. f(x)={19x if –1<x<6 22 if x26 a) Find f (-3). b) Find f (2). c) Find f (75).

A: Given : x=-3 it lies in the range -5≤x≤-1 1) f(-3) is calculated as: =(-3)2-7(-3)+1=9+21+1=31 2) x=2…

Q: Which of (a)–(f) are true for a = −3 and b = 2? |a| &lt; |b|

A: Given: a=-3 and b=2. To determine whether a&lt;b is true or not. Solution:  We know that modulus of…

Q: 4. State whether the statements are true or false. Explain. (a) There is an even number multiple of…

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Q: a. (f+g)(-4)

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Q: x+1 1. 20 x-3 x-2 2. <0 3. x*-4x x-1

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Q: A) 13x| <|2x -5|

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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)?

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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: 2x - 1 (a) x + 2 <-1 (b) 12x – 4| <x + 1.

A: on solving this we get

Q: lo) Let x-16 X+4 >メキ-4 K Xニー4

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Q: (а) 3x< 5х—8

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Q: Show that [-3,0]| = |[-2, 7].

A: We say two sets have the same cardinality if there exists a bijection between the two sets.

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

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Q: L(3tcos2t) is equal to? Select the correct response: O [3(s? + 4)]/(s? - 4) O (3s2 - 12)/(s² + 4)² O…

A: Laplace transferom of the function

Q: h(x) = [(x2 - 9) / (x - 3) if x ≠ 3 or 6 if x = 3]. Evaluate : a. h(5)           b. h(0)…

A: We have to evaluate the following: a. h5          b. h0        c. h3 Where function is hx=x2-9x-3 if…

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: Show that N-, (x) = (-1)"N„(x). Nó(x) = -N1(x). with open steps and explained pls

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Q: for the set b={3}, determine n(b)

A: Given,

Q: p(x) = In x 27) Dom: 28) Range: 8 -6- -4 2 10 -2 -4- -6- -8

A: Domain: The set of all points over which a function is defined. Range: The set of values (points)…

Q: -6(2x+1)&lt;5-(x-4)-6x

A: Solve the inequality as follows.