Suppose we choose a uniformly random point (x, y) in the square S = [0, 1] × [0, 1]. Let A = {(x, y) ∈ S | x > 0.6} and B = {(x, y) ∈ S | y > x}. Find the probability the point is in A ∩ B.

Q: Let X - N(2, 4). Calculate P[X2 – 4X < 4].

A: P(X2-4X≤4)=0.7602

Q: Q5. If P(AUB)=0.3, P(A)=0.6 and P(Bº)= 0.7 Find 1) P(ANB) 2) P(A/B)

A: We have given thatP(A ∪ B) = 0.3P(A) = 0.6P(Bc) = 0.7

Q: Circle all expressions which could represent a weighted average of x and y. a) 0.1x + 0.8y b) 0.4x…

A:

Q: 8. Find all values of h, if any exist, such that b a linear combination of vị an h (а) Vi V2 = b =…

A:

Q: Determine the minimal polynomial of 2/3 – V5 ov over 0.

A: That's easy. Have a great day!!!

Q: Determine the values of y such that D(9,3,-2), E(3,4,7) and F(21,y,-20) are collinear

A:

Q: If f'(t) = 9t² + e' and f(0) = 4. Compute f(3).

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: en ủ × ʊ = (2, 3, 4), find (ũ − 4v) × (ũ + 3v).

A: Topic:- vector algebra

Q: The mean weight of male nurses working at a local hospital is less than 178 lbs. Express the null…

A: null hypotheses  H0 : μ = 178

Q: 1. Which of the following statements are true? I. If A and B are independent then A' and B are…

A: 1. III.…

Q: Let U = N, A = {1, 3, 5}, B = {x : x² - 6x + 5 = 0}, and D = {x :x > 5}. Find h. D'n (AUB)

A: