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1. A coin is tossed twice. Let A=event the 1* toss is head, and B=event the 2nd toss is head, Find P(B/A).

1. A coin is tossed twice. Let A=event the 1* toss is head, and B=event the 2nd toss is head, Find P(B/A).

MATLAB: An Introduction with Applications
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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Using the concept of probability, what will be the solution and answer to each question.

1. A coin is tossed twice. Let A=event the 1* toss is head, and B=event the 2nd toss is head. Find P(B/A). 2. A coin is tossed twice. Let A=event with exactly 2 heads, and B=event at least one head appears. Find P(B/A'). 3. An ENGDATA class for engineers consists of 5 industrial, 10 electronics, 12 mechanical, 10 electrical, and 8 civil engineering students. If a person is randomly selected by the instructor to answer a question, find the probability that the student chosen is: a. a civil engineering student b. an electronics engineering student c. a mechanical or electrical engineering student 4. Four fair coins are tossed. Find the probability of getting the following: a. exactly 3 heads b. at least 2 tails c. at most 3 heads 5. The probability that a regularly scheduled flight departs on time is P(D) = 0.83, the probability that it arrives on time is P(A) = 0.82; and the probability that it departs and arrives on time is P(DA) = 0.78. Find the probability that a plane: a. arrives on time given that it departed on time b. departed on time given that it has arrived on time
Transcribed Image Text:1. A coin is tossed twice. Let A=event the 1* toss is head, and B=event the 2nd toss is head. Find P(B/A). 2. A coin is tossed twice. Let A=event with exactly 2 heads, and B=event at least one head appears. Find P(B/A'). 3. An ENGDATA class for engineers consists of 5 industrial, 10 electronics, 12 mechanical, 10 electrical, and 8 civil engineering students. If a person is randomly selected by the instructor to answer a question, find the probability that the student chosen is: a. a civil engineering student b. an electronics engineering student c. a mechanical or electrical engineering student 4. Four fair coins are tossed. Find the probability of getting the following: a. exactly 3 heads b. at least 2 tails c. at most 3 heads 5. The probability that a regularly scheduled flight departs on time is P(D) = 0.83, the probability that it arrives on time is P(A) = 0.82; and the probability that it departs and arrives on time is P(DA) = 0.78. Find the probability that a plane: a. arrives on time given that it departed on time b. departed on time given that it has arrived on time
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