Let A and B be two events such that P(A) = 0.37 and P(B) = 0.03.Do not round your responses. (If necessary, consult a list of formulas.)(a) Determine P (AUB), given that A and B are mutually exclusive.(b) Determine P (A U B), given that A and B are independent.

The objective of the question is to find the probability of the union of two events A and B under…

Answered: Let A and B be two events such that…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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For any two events A and B, show that P(ĀOB)=P(B) – P(A B).
A college finds that 10% of students have taken a distance learning class and that 40% of students are part time students. Of the part time students, 20% have taken a distance learning class. Let D = the event that a student has taken a distance learning class and E = the event that a student is a part time student. For each part, show how you derive your answer. Show formulas if appropriate. (a) Find P(D and E) (b) Find P(D or E)
For this problem, assume that Pr[A∪B]=0.85 and Pr[A]=0.5Pr[A]=0.5. What is Pr[B] if A and B are independent events?
For this problem, assume that Pr[A∪B]=0.85and Pr[A]=0.3. (1) What is Pr[B]Pr[B] if A and B are independent events? (2) What is Pr[B]Pr[B] if A and B are disjoint events?
Plz answer the question in 10 minutes plzzz and get thumb up plzzzz
Q2: Two numbers x and y are selected at random between zero and one. Let the events A, B, and C be defined as follows: A = (x > 0.6), B = (y > 0.2), and C = (x > 2y). Are the events A and B independent? Are A and C independent?
Determine whether the alternate hypothesis is left-tailed, right-tailed, or two-tailed. Ho:H = 36 H :u#36 The alternate hypothesis is (Choose one) left-tailed right-tailed two-tailed
Q#7: Solve neat and stepwise as required: In a class of 30 students, 17 are boys and the rest are girls. On a monthly math's test, four boys and five girls made A grades. If a student is chosen at random from the class, what then is the probability? i. ii. Of a boy and a grade A student? Of a girl or a grade A student? Of a boy or a grade A student? iii.
J and K are independent events. P(J|K) = 0.6. Find P(J).
A student goes to the library. Let events B= the student checks out a book and D= the student check out a DVD. Suppose that P(B)=0.54 P(D)=0.45 and P(D|B)=0.50 Round each answer to four decimal places. (a) Find P(B′)Enter the exact answer.P(B′)= (b) Find P(D AND B)Enter the exact answer.P(D AND B)= (c) Find P(B|D).Round your answer to three decimal places.P(B|D)= (d) Find P(D AND B′)Enter the exact answer.P(D AND B′)= (e) Find P(D∣B)Enter the exact answer.P(D∣B′)
In each of Exercises, decide whether or not the two events in question are independent or whether it is not possible to tell. Justify your answers. P(B) = 0.7 and P(A| B) = 0.6

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Let A and B be two events such that P(A) = 0.37 and P(B) = 0.03. Do not round your responses. (If necessary, consult a list of formulas.) (a) Determine P (AUB), given that A and B are mutually exclusive. (b) Determine P (A U B), given that A and B are independent.