bability Basics 7.6. Ore i s dificult to distinguish between the probability n u
ID: 3068744 • Letter: B
Question
bability Basics 7.6. Ore i s dificult to distinguish between the probability n u intersection of outcomes (joint probability) and the probabili of a conditional outcome (conditional probability). Classify the following as joint probability statements or conditional statements. [If in doubt, try to write down the probability stateme for example, P(Crash Landing I Out of Fuel) or P(Dow Jones Up and Stock Price Up).] a. Eight percent of the students in a class were left-handed and red-haired b. Of the left-handed students, 20% had red hair. C. If the Orioles lose their next game, then the Cubs have a 90% chance of winning the pennant. Fifty-nine percent of the people with a positive test result had the disease. For 78% of patients, the surgery is a success and the cancer never reappears. d. e. f. If the surgery is a success, the cancer is unlikely to reappear. h. There is an even chance that a farmer who loses his crop will go i. i. John probably will be arrested because he is trading on insider k. John probably will trade on insider information and get Given the drought, food prices are likely to increase. bankrupt. If the temperature is high and there is no rain, farmers probably will lose their crops. information. t.Explanation / Answer
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We can distinguish conditional probability and joint probability very easily.
Joint probability is the probability of happening of two events simultaneously while conditional probability is the probability of happening of an event given that some event has already happened.
Hence,
(a) Joint Probability
As required events are left-handed and red-haired.
(b) Conditional Probability
As required events is red-hair, given that they are left-handed.
(c) Conditional Probability
As the required event is Cubs winning, given that Orioles lose their next match.
(d) Conditional Probability
As the required event is having a diseases, given a positive result.
OTHER ANSWERS:
(e) Joint
(f) Conditional
(g) Conditional
(h) Conditional
I hope this solves your doubt.
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