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Answered: Events that have no sample space…

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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A player would win a game if they draw exactly 2 Aces or exactly 2 Kings in a hand of 5 cards from a standard deck of 52 cards. Explain why it is necessary to use the Principle of Inclusion Exclusion or a Venn diagram to calculate the probability.
An urn contains 7 red, 3 white, and 6 black balls. One ball is drawn from the urn, it is replaced, and a second ball is drawn. Construct a probability tree to determine the probability that one ball is white W and one is red R. Pr(one W none R) = 21 Pr(one W none R) = 128 Pr(one W none R) = Pr(one W none R) = 50 Pr(one W none R) = 21 256 7 75
Consider a sample space S. Let A and B be any two events in S. Write the expressions in terms of unions, interactions, and complements for the following events
What is the probability a randomly selected students has an Apple product but not a Microsoft product?
In a sales effectiveness seminar, a group of sales representatives tried two approaches to selling a customer a new automobile: the aggressive approach and the passive approach. For 1160 customers, the following record was kept: Sale No Sale Row Total Aggressive 260 320 580 Passive 466 114 580 Column Total 726 434 1160 Suppose a customer is selected at random from the 1160 participating customers. Let us use the following notation for events: A = aggressive approach, Pa = passive approach, S = sale, N = no sale. So, P(A) is the probability that an aggressive approach was used, and so on. 1. Compute P(N) and P(N | A). (Enter your answers as fractions.) P(N) = P(N | A) = 2. Are the events N = no sale and A aggressive approach independent? Explain. a. No. The two events cannot occur together. b.Yes. The two events can occur together. c. No. P(N) ≠ P(N | A). d. Yes. P(N) = P(N | A). 3. Compute P(A or S). (Enter your answer as a fraction.) P(A or S) =
Three identical slips of paper with the numbers 1, 2 and 3 (one number on each slip) are placed in a box. One slip is randomly selected, and then, without replacement, a second slip is selected. Find the probability that the sum of the two numbers is even. A sample space is composed of three outcomes, called A, B and C. Outcome A is twice as probable as B, and B is twice as probable as C. Find the probabilities of the events of A, B and C. 1. а. b.
A single card is drawn from a standard deck of playing cards. Let A be the event that anace is selected. Let B be the event that a heart card is drawn. List the sample points for theintersection and the union of the events A and B.
A Social Science Statistics classroom contains 13 Psychology majors, 9 Sociology majors, 4 business majors, 5 nursing majors, and 4 students with other majors. Mayra is sampling WITH REPLACEMENT from this classroom of students. For the first student that she selects, the probability of selecting a Psychology major is about ____. For the second student that she selects, the probability of selecting a Psychology major is about ____. For the third student she selects, the probability of selecting a Psychology major is about ____.
There are two spinners containing only black and green slices. Spinner A has 6 black slices and 10 green slices. All the slices are the same size. Spinner B has 5 black slices and 5 green slices. All the slices are the same size. Each spinner is spun. List these events from least likely to most likely. Event 1: Spinner B lands on a black or green slice. Event 2: Spinner A lands on a blue slice. Event 3: Spinner B lands on a black slice. Event 4: Spinner A lands on a black slice. Least likely Event Event Event Most likely Event
In one district of the city, 50% of heads of families areowners, 75% own a car and 30% own and own a car. If we choose a leaderfamily at random, find the probability that this person:a) owns a car, if she is an owner.b) is not an owner, if she does not own a car.c) does not own a car, if she is not an owner.
1. Geno and Smith collaborated in a Math256 Midterm recently and both received 90 out of a possible 100 points. The events, Geno receiving 90 points and Jason receiving 90 points are : d. All of the answer options are correct.b. disjoint events a. independent events c. dependent events 2. In his Fall Math256 class, 40% of the students studied at least 15 hours per week, 30% of the students received a 4.0, and 10% studied at least 15 hours per week and received a 4.0. Find the probability of students who either studied 15 hours per week or received a 4.0? a. 0.4 d0.7 c. 0.1 b. 0.6 3. Two high school seniors find themselves with much time and nothing to do. They decide to devise a computer game in which a cursor moves randomly along the x axis between 0 and 4. The game they play is to stop the cursor at random points between O and 4 without looking at the screen. Such a game results in a uniform distribution over the interval between 0 and 4 and resembles a density curve. The area…

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Events that have no sample space outcomes in common, and therefore cannot occur simultaneously, are Multiple Choice independent mutually exclusive intersections unions