The personnel department of Franklin National Life Insurance compiled the accompanying data regarding the income andeducation of its employees.s this aIncomeIncome$60,000 or BelowAbove $60,000Noncollege GraduateCollege Graduate2080820380720Let A be the event that a randomly chosen employee has a college degree, and let B be the event that the chosenemployee's income is more than $60,000.(a) Find each of the following probabilities. (Round your answers to four decimal places.)P(A) =P(B) =P(A n B) =P(B | A) =P(B | A) =(b) Are the events A and B independent events?38YesO No

Answered: Image /qna-images/answer/b5fb1a7d-9600-4af2-b1a4-592b7ea87d78.jpg

Answered: (a) Find each of the following…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Use the Test for Independence to determine if events A and B are independent. P(A) = 0.7, P(B) = 0.8, P(An B) = 0.56 Select the correct choice below and fill in the answer box(es) to complete your choice. (Type an integer or a decimal.) O A. Events A and B are not independent because P(A U B)= | and P(A) + P(B) - P(An B)= O B. Events A and B are independent because P(An B) = 0.56 and P(A).P(B) = O C. Events A and B are independent because P(A U B)= and P(A) + P(B)- P(An B) = O D. Events A and B are not independent because P(An B) = 0.56 and P(A) P(B) =.
The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is less than 5". Let B be the event "the outcome is prime". Find P(A|B). Outcome Probability 1 0.1 0.2 3 0.4 4 0.1 0.2
The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is prime". Let B be the event "the outcome is less than or equal to 3". Find P ( A | B ) . Outcome Probability 1 0.1 2 0.1 3 0.6 4 0.2
The Venn diagram below shows the 14 students in Ms. Henderson's class. The diagram shows the memberships for the Art Club and the Dance Club. A student from the class is randomly selected. Let A denote the event "the student is in the Art Club." Let B denote the event "the student is in the Dance Club." The outcomes for the event A are listed in the circle on the left. The outcomes for the event B are listed in the circle on the right. Note that Melissa is outside the circles since she is not a member of either club. Answer each part below. If necessary, consult a list of formulas. Melissa Laura Kala Jim Ivanna Eric Pablo Art Deshaun Yolanda Rachel Dance Carmen Salma Debra Omar
For two events A and B, suppose P(A)=0.6, P(B)=0.2, and P(A|B)=0.7, then P(A U B)= __________. 0.66 0.51 0.2 0.55
Listed are two events A and B. Below are the probabilities. P(A)= 0.5 P(B)= 0.4 P(A u B)=0.65 Please find out whether A and B are independent .
Please help me solve the rest.
For each set of probabilities, determine whether the events A and B are independent or dependent. (If necessary, consult a list of formulas.) Probabilities Independent Dependent = P(A 18) - 1 (a) P(A)=-;P(B) =;P(A\B) = 5 1 1 P(A) =;P (B) = P(A and B) = %3D 4 6. 1 1 P (B|A) = 1 (c) P(4)-극: P(B)-P(Bl4): %3D %3D 1 1 (d) P(A) = : P(B) = P(4 |B) = | %3D
Suppose events B and C are independent and P(B) = - 1 P(C) = 12 4 Find the probability. (Enter the probability as a fraction.) P(BUC)
The events A and B are mutually exclusive. If P(A) = 0.5, and P(B) = 0.3, what is P(A or B)? a. 0.15 b. 0.8 c. 0.2 d. 0
If A and B are independent events, P(A)=0.28, and P(B)=0.67, what is P(B|A)?

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(a) Find each of the following probabilities. (Round your answers to four decimal places.) P(A) = P(8) = P(A n B) = P(B | A) P(B | A) = (b) Are the events A and 8 independent events? OYes O No