When turned on, each of the three switches in the diagram below works properly with probability 0.9. If a switch is working properly, current can flow through it when it is turned on. Find the probability distribution for Y, the number of closed paths from a to b, when all

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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random variables and their probability distributions 

When turned on, each of the three switches
in the diagram below works properly with
probability 0.9. If a switch is working properly,
current can flow through it when it is turned
on. Find the probability distribution for Y, the
number of closed paths from a to b, when all
three switches are turned on.
1.
a .
2.
Transcribed Image Text:When turned on, each of the three switches in the diagram below works properly with probability 0.9. If a switch is working properly, current can flow through it when it is turned on. Find the probability distribution for Y, the number of closed paths from a to b, when all three switches are turned on. 1. a . 2.
It was observed that 40% of the vehicles
crossing a certain toll bridge are commercial
trucks. Four vehicles will cross the bridge in the
next minute. Find the probability distribution for
X, the number of commercial trucks among the
four, if the vehicle types are independent of one
another.
Transcribed Image Text:It was observed that 40% of the vehicles crossing a certain toll bridge are commercial trucks. Four vehicles will cross the bridge in the next minute. Find the probability distribution for X, the number of commercial trucks among the four, if the vehicle types are independent of one another.
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