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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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According to the textbook, it is reported that 85% of Asians, 78% of white, 70% of Hispanic, and 38% of black children have two parents at home. Suppose there are 500 students in a representative school, of which 280 are white, 50 are Asian, 100 are Hispanic, and 70 are black. Assume that individuals are only allowed to associate with a predominant category (e.g. cannot be in two or more categories). What is the probability the next child to arrive at the representative school is not Asian? Group of answer choices
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.
There are 4 letters and 4 addressed envelopes. If the letters are placed in the envelopes at random, find the probability that (i) none of the letters is in the correct envelope and (ii) at least 1 letter is in the correct envelope, by explicitly writing the sample space and the event spaces.
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.

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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