A certain university has 10 vehicles available for use by faculty and staff. Six of these are vans and 4 are cars. On a particular day, only two requests for vehicles have been made. Suppose that the two vehicles to be assigned are chosen in a completely random fashion from among the 10. (Enter your answers as fractions.) (a) Let E denote the event that the first vehicle assigned is a van. What is the value of P(E)? (b) Let F denote the probability that the second vehicle assigned is a van. What is the value of P(F | E)? (c) Use the results of parts (a) and (b) to calculate P(E ∩ F)

A certain university has 10 vehicles available for use by faculty and staff. Six of these are vans and 4 are cars. On a particular day, only two requests for vehicles have been made. Suppose that the two vehicles to be assigned are chosen in a completely random fashion from among the 10. (Enter your answers as fractions.) (a) Let E denote the event that the first vehicle assigned is a van. What is the value of P(E)? (b) Let F denote the probability that the second vehicle assigned is a van. What is the value of P(F | E)? (c) Use the results of parts (a) and (b) to calculate P(E ∩ F)

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Description: A certain university has 10 vehicles available for use by faculty and staff. Six of these are vans and 4 are cars. On a particular day, only two requests for vehicles have been made. Suppose that the two vehicles to be assigned are chosen in a comple

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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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Question

(a)

Let E denote the event that the first vehicle assigned is a van. What is the value of P(E)?

(b)

Let F denote the probability that the second vehicle assigned is a van. What is the value of P(F | E)?

(c)

Use the results of parts (a) and (b) to calculate P(E ∩ F).

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