4. An experiment consists of tossing a die and then flipping a coin once if the number on the die is even. If the number on the die is odd, the coin is flipped twice. Using the notation 4H, for example, to denote the outcome that the die comes up 4 and then the coin comes up heads, and 3HT to denote the outcome that the die comes up 3 followed by a head and then a tail on the coin: a. list the elements corresponding to the event A that a number less than 3 occurs on the die; b. list the elements corresponding to the event B that two tails occur; c. list the elements corresponding to the event A';
4. An experiment consists of tossing a die and then flipping a coin once if the number on the die is even. If the number on the die is odd, the coin is flipped twice. Using the notation 4H, for example, to denote the outcome that the die comes up 4 and then the coin comes up heads, and 3HT to denote the outcome that the die comes up 3 followed by a head and then a tail on the coin: a. list the elements corresponding to the event A that a number less than 3 occurs on the die; b. list the elements corresponding to the event B that two tails occur; c. list the elements corresponding to the event A';
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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Transcribed Image Text:4. An experiment consists of tossing a die and then flipping a coin once if the number on
the die is even. If the number on the die is odd, the coin is flipped twice. Using the
notation 4H, for example, to denote the outcome that the die comes up 4 and then the
coin comes up heads, and 3HT to denote the outcome that the die comes up 3 followed
by a head and then a tail on the coin:
a. list the elements corresponding to the event A that a number less than 3 occurs
on the die;
b. list the elements corresponding to the event B that two tails occur;
c. list the elements corresponding to the event A’;
d. list the elements corresponding to the event A’OB;
e. list the elements corresponding to the event AUB;
f. list all the subsets of event B that have exactly 2 elements.
5. Construct a Venn diagram to illustrate the possible intersections and unions for the
following events relative to the sample space consisting of all automobiles made in the
United States.
A: Four door, B : Sun roof, C : Power steering.
Shade the areas representing the following events:
a. (A N B)';
b. (A U B)';
с. (АП С) UВ.
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