Concept explainers
(a)
The probability that the student is female and business major.
(a)
Answer to Problem 9RE
The probability of student is female and business major is
Explanation of Solution
Given:
Probability of female is 0.55, probability of business major is 0.2 and the probability that the student is female and business major is 0.15.
Calculation:
The probability that the student is female and business major is calculated as follows:
Thus, the probability of student is female and business major is
(b)
The probability that the student is female if it is given that the student is business major.
(b)
Answer to Problem 9RE
The probability that the student is female if it is given that the student is business major is
Explanation of Solution
Given:
Probability of female is 0.55, probability of business major is 0.2 and the probability that the student is female and business major is 0.15.
Calculation:
The probability that the student is female if it is given that the student is business major is calculated as follows:
Thus, the probability that the student is female if it is given that the student is business major is
(c)
The probability that the student is business major if it is given that student is female.
(c)
Answer to Problem 9RE
The probability that the student is business major if it is given that student is female is
Explanation of Solution
Given:
Probability of female is 0.55, probability of business major is 0.2 and the probability that the student is female and business major is 0.15.
Calculation:
The probability that the student is business major if it is given that student is female is calculated as follows:
Thus, the probability that the student is business major if it is given that student is female is
(d)
Whether the events are independent or not.
(d)
Answer to Problem 9RE
The events are not independent.
Explanation of Solution
Given:
Probability of female is 0.55, probability of business major is 0.2 and the probability that the student is female and business major is 0.15.
Independent events are those events that are not depend upon each other. The expression for the independent event is shown below:
Apply the condition for independent events for the given condition as follows:
Thus, the events are not independent.
(e)
Whether the events are mutual exclusive or not.
(e)
Answer to Problem 9RE
The events are not mutual exclusive.
Explanation of Solution
Given:
Probability of female is 0.55, probability of business major is 0.2 and the probability that the student is female and business major is 0.15.
Mutual exclusive events are those events that cannot happen together. The expression for the mutual exclusive event is shown below:
Apply the condition for mutual exclusive event for the given condition as follows:
Thus, the events are not mutual exclusive.
Want to see more full solutions like this?
Chapter 5 Solutions
ELEMENTARY STATISTICS-ALEKS ACCESS 18W
- Smokers and Non smokers In a population of 10,000, there are 5000 non-smokers, 2500 smokers of one pack or less per day. During any month, there is a 5 probability that a nonsmoker will begin smoking a pack or less per day, and a 2 probability that a nonsmoker will begin smoking more than a pack per day. For smokers who smoke a pack or less per day, there is a 10 probability of quitting and a 10 probability of increasing to more than a pack per day. For smokers who smoke more than a pack per day, there is a 5 probability of quitting and a 10 probability of dropping to a pack or less per day. How many people will be in each group a in 1 month, b in 2 months, and c in 1 year?arrow_forwardPolitical Surveys In a certain county, 60% of the voters are in favor of an upcoming school bond initiatives. If five voters are interviewed at random, what is the probability that exactly three of them will favor the initiative?arrow_forwardDividing a JackpotA game between two players consists of tossing a coin. Player A gets a point if the coin shows heads, and player B gets a point if it shows tails. The first player to get six points wins an 8,000 jackpot. As it happens, the police raid the place when player A has five points and B has three points. After everyone has calmed down, how should the jackpot be divided between the two players? In other words, what is the probability of A winning and that of B winning if the game were to continue? The French Mathematician Pascal and Fermat corresponded about this problem, and both came to the same correct calculations though by very different reasonings. Their friend Roberval disagreed with both of them. He argued that player A has probability 34 of winning, because the game can end in the four ways H, TH, TTH, TTT and in three of these, A wins. Robervals reasoning was wrong. a Continue the game from the point at which it was interrupted, using either a coin or a modeling program. Perform the experiment 80 or more times, and estimate the probability that player A wins. bCalculate the probability that player A wins. Compare with your estimate from part a.arrow_forward
- Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningElementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage LearningHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning