5.1.2Suppose that Z~ N(0, 1). (a) P(Z ≤ -0.77) (b) P(Z≥ 0.32) (c) P(-3.09 ≤ Z≤ -1.59)

Q: 45. Let g(x) = [x]. Find a) g-¹({0}). c) g-¹({x|0<x< 1}). b) g-¹({-1, 0, 1)).

A:

Q: pmf of x 12-X P(x-x)=√12) (0-75)* (0-25 )¹²-X =X(12) a) P(x>2) = 1- P(x<z) = 1- [P(x=0] + P(x = 1)]…

A: Basic concepts of probability are used

Q: Suppose X ~ t5, calculate P[–1.476 ≤ X ≤ 3.365]

A: Given that random variable X follows t distribution with degrees of freedom 5

Q: Find P (-1.5 < or equal to Z < 0.2) where Z ~ N (0,1)

A: We will use Standard Normal table to find the required probability.

Q: 5. (a) If r23 = 0, prove that R₁ (23) = (23) = 712 + 7³1 01-23 = (1 - 12 - 13). 07.

A:

Q: 17. The interval for function Is+3|2 1/2 is (-7/2,- 5/ 2] 0(-7/2,-5/ 2) (-00,-7/2)u(00,-5/2)…

A: Given: s+3≥12 We have to find the interval in which the given inequality satisfies.

Q: Q2. | For what values of a, b and c does the function 6, x = 0 f(x) = {2x2 + a, bx + c, 0 <x < 2 2…

A:

Q: Let z(x) ~N(0,1) Prop (x > -0.56) = Prop (x ≤ -2.17) = Prop (-1.56 ≤ x ≤ 0.72) =

A:

Q: Suppose f"(x) = N;(h) + a,h* + a;h® + azh® + ... When calculating N,(h) using Richardson…

A: Solution

Q: 2. Statement such as a < a is an example of: Function Equation Expression O Inequality

A: Inequality: An inequality is a relation which makes a non-equal comparison between two numbers or…

Q: (a) Let the interval a, b be divided into n equal sub-intervals such that a = x0 < a1 < x2 < x3…

A: From this general formula we can obtain different integration formulae by putting n=1, 2,3 etc. We…

Q: Find the interval of En=o 2"(z – 3)" O (3.5, 0) O (2.5, 0) O (2.5, 3.5) O (2, 3)

A:

Q: 2.58 Given an example of f E C (a, b) for which the range of f is a) a finite open interval. b) an…

A:

Q: ife. 4. Given the function f(() evaluate

A:

Q: Letz ~ N(0,1) and p(z < c) = 0.8508 then c= O none O 1.40 O 0.54 O 1.04 O -0.54 O -1.96

A: Given information- We have given that- Z ~ N(0, 1) And p(z &lt; c) = 0.8508 We have to find the…

Q: Let F (z, y, z)=47'yzi+10zj-2zyk and a smooth curve C given by the line segment from (-1,2,0) to (2,…

A:

Q: let x ~ N (10,2) Calculate P(x>10.5)

A: Given

Q: π Let (x) be the number of prime numbers in the range from 2 to x. Select the pair of inequalities…

A:

Q: f(x+h)-f(x) 2. Evaluate h If a. G) f(Vx) b.

A:

Q: x + 2 ] Let f(x) = and g(x) = x² + 2. x + 3 range of f • g is O[4/5, 1). O(0, 1). O(-00, 1). O(4/5,…

A: Given that                                                 f(x)=x+2x+3  &amp;g(x)=x2+2

Q: Suppose Z~N(0,1). Use Excel to find Pr(0.27 < Z < 1.29).  Enter your answer as a decimal rounded to…

A: Given,P(0.27&lt;Z&lt;1.29)

Q: Prop (1.23 ≤ x ≤ 1.72) = Prop (-2.50 ≤ x ≤ 0.5) = Prop (x ≥ 3.00)

A: here use normal distribution table

Q: 2.59 Find || f |sup if a) f(x) = x on (-1, ). So if x E Q, b) f(x) = – x² .2 if x ¢ Q. -

A:

Q: 4. Let f-(x) = g(x) = x-5, k-1(10) + 7 = 10 and h(x) = then find: b. Domain of h(x). c. (hof)(2). (Z…

A:

Q: 7

A:

Q: Suppose that Z~N(0,1). Then find Pr(2.78 < Z < 2.84)

A: Given data, Z~N(0,1) That is Mean=0 Standard deviation=1 P(2.78 &lt; Z &lt; 2.84)=?

Q: 2. Let X be a binomial random variable with p - 0.1 and n- Calculate the P(X > 8). (Binomial). 10.

A: (As per bartleby guidelines, for multiple questions asked, only the first question will be solved.…

Q: (h) P(1.26 ≤ Z ≤ 2.50) (1) P(1.90 ≤ Z) (1) P(|Z| ≤ 2.50)

A: It is given that the standard normal random variable Z with mean 0 and variance 1.   Note: The…

Q: For any positive integers m, n (

A:

Q: If X is uniform on [-2,2] then p(x <3) = 3/4 O O o o

A: Given  X~Uniform(-2,2) Pdf of X is  f(x)= 1/4     , -2&lt;x&lt;2       = 0         , otherwise

Q: I dont understand how we go from P(B) = P(A) + P(B ∩ A') to P(B) ≥ P(A)

A: A,B  belongs to F  We have to prove that If A ⊂B then  P(A)≤ P(B)

Q: 3. Let r = (4, –3, 1, –5) € R'. Which of the following equals ||r||? (a) 5 (b) 13 (c) V51 (d) v63

A:

Q: 15 Let (x+1) {x-2}" 20 g"k) = concave upX-) on what interval(s IS (NOte: Crinen gil but aske about…

A:

Q: Answer d and e

A:

Q: (a) Lakarkan graf y = e=* dan y = x + 0.5 pada rajah yang sama. Sketch the graphs of y = e¬* and y =…

A: The equation in the form y=f(x) represents a curve in the plane. The point of intersection of the…