3. Consider the chance experiment in which the type of transmission- automatic (A) or manual(M)- is recorded for each of the next two cars purchased from a certain dealer.a. What is the set of all possible outcomes (the sample space)? See example 2b. Display the possible outcomes in a tree diagram.c. List the outcomes in each of the following events. Which of these events are simpleevents?B the event that at least one car has an automatic transmissionC the event that exactly one car has an automatic transmissioniii. D the event that neither car has an automatic transmissiond. What outcomes are in the event B and C? In event B or C?i.ii.

[a] All the possible sets could be:- (AA,MM,AM,MA) it is similar to two side of coins like heads…

Answered: 3. Consider the chance experiment in…

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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2. A psychology class consists of 14 males and 36 females. If the professor selects names from the class list using random sampling, a. What is the probability that the first student selected will be a female? 8. I b. If a random sample of n = 3 stu dents is selected and the first two are both females, what is the prob- ability that the third student selected will be a male? CRE NA
In a survey, respondents were asked to indicate their favorite brand of cereal. They were only allowed one choice. What is the concept that implies it is not possible for a single respondent to state more than one brand as their favorite cereal? Choose the correct answer below. O A. independent events O B. mutually exclusive events O C. dependent events
5. In a survey conducted by the Athletics Department of a certain school, student-respondents were asked: "What is your favorite sport to watch?" Basketball and volleyball ranked number 1 and 2 in terms of preference. Assume that in a group of 10 students, seven prefer basketball and three prefer volleyball. A random sample of three of the students is selected. a. What is the probability that exactly two prefer basketball? b. What is the probability that the majority (either 2 or 3) prefer basketball?
25. A couple has three children and X is the number of boys. a. List the elements in the sample space (outcomes). b. List the values for X for each of the outcomes. c. Find the probability distribution for X. P(X = x)
Refer to the Venn diagram to the right for events A and B in an equally likely sample space S. Find the indicated probability. B P(AUB) 35 10 20 35 P(AUB)=(Type a decimal.)
Define the term chance experiment. O A collection of outcomes from the sample space of an experiment. O An event consisting of exactly one outcome. Any activity or situation in which there is uncertainty about which of two or more possible outcomes will result. The collection of all possible outcomes of an experiment.
A box contains 5 white, 8 green and 3 yellow (gold) marbles. A marble is drawn, its color recorded. Without putting it back, a second marble is drawn and its color recorded. a.Draw the tree diagram representing this experiment. b.Mark the probabilities on each branch of the tree diagram. c.List the possible outcomes of this experiment. Notice order matters so WG is different from GW. d.List the outcomes that comprise each of the following events. i.Event A: No yellow marble is drawn. ii.Event B: The two marbles drawn have the same color.e.What is the probability of getting all 3 colors?
Consider the experiment of tossing a coin twice and then rolling a dice a. Develop a tree diagram for the experiment b. List the experimental outcomes c. What is the probability for each experimental outcome? d. Is this an question based on independent event or this is mutually exclusive? Please explain your answer.
Consider two events A and B. The probability for event A is P(A) = 0.52. Suppose P(B|A) = 0.65 and P(B|AC) = 0.45. a. Find P(AC). b. Find P(An B). c. Find P(An B). d. Construct a probability tree diagram. See the diagram on pages 50 and 52 of the course packet. Find P(B). Find P(A/B). Are A and B mutually exclusive? Why or why not? Are A and B independent? Why or why not? U e. f. g. h.
A game has two four-sided dice having the numbers 7, 8, 9, and 2 on their faces. Outcomes in the sample space are pairs such as (7,8) and (2,2). a. How many elements are in the sample space? b. Express the event "the total showing is even" as a set. c. What is the probability that the total showing is even? d. What is the probability that the total showing is greater than 14? ... Identify the problem solving method that should be used. Choose the correct answer below. A. The Choose Good Names for Unknown Strategies Principle O B. The Be Systematic Principle OC. The Draw Pictures Principle O D. The Analogies Principle
In a certain carnival game, a wheel is divided into thirteen equal parts, of which five are blue and eight are purple. The player spins the wheel until the marker lands on blue or until three spins have occurred. The number of spins is observed. Determine the probability distribution for this experiment. C... Since the outcomes are the numbers of spins, there are three possible outcomes, which are one, two, and three spins. This is illustrated n the tree diagram shown to the right. Determine the probability of spinning the wheel once, which is the marker landed on blue. P(1 spin) = (Type an integer or a simplified fraction.) blue purple 1 Spin blue purple 2 Spins blue or purple -3 Spins
Roll a Diea. Suppose you roll a single die and count the number of dots on top. List the sample space ofall possible outcomes.b. Assign probability to the outcomes of the sample space from part (a). Do the probabilitiesadd up to 1? Should they add up to 1? Explainc. What is the probability of getting a number less than 5 on a single throw?d. What is the probability of getting 5 or 6 on a single throw?

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