If P(A) = 0.36%, P(B) = 0.61%, and A and B are mutually exclusive, what is P(A ∩ B)?
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If P(A) = 0.36%, P(B) = 0.61%, and A and B are mutually exclusive, what is P(A ∩ B)?
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- QUESTION 1: Miss Basson is taking her Gr 10 class on an outing to the Zoo. She has a class of 35 learners of which only 92% can join the outing. She asks each learner to pay for their ticket of R145. Use the information above to answer the questions that follow. Ms Basson has compiled an Income and expense statement after the class outing to the zoo. The statement showed only the learners that went on the outing as well as Ms Basson. Income and Expenses Statement Expenses Bus hire Income Class ticket sales School contribution Total: R2500 A B Zoo Entrance ticket (for the group) Snack-pack Total: R1650 R2400 R2720 CIn a computer instant messaging survey, respondents were asked to choose the most fun way to flirt, and it found that P(D) = 0.810, where D is directly in person. If someone is randomly selected, what does P(D) represent, and what is its value?R3.23. Tips In restaurants, servers rely on tips as a major source of income. Does serving candy after the meal produce larger tips? To find out, two waiters determined randomly whether or not to give candy to 92 dining parties. They recorded the sizes of the tips and reported that guests getting candy tipped an average of 17.8% of the bill, compared with an average tip of only 15.1% from those who got no candy. ("Sweetening the Till: The Use of Candy to Increase Restaurant Tipping," Journal of Applied Social Psychology 32, no. 2 [2002]: 300-309) a) Was this an experiment or an observational study? Explain. b) Is it reasonable to conclude that the candy caused guests to tip more? Explain. c) The researchers said the difference was statistically sig- nificant. Explain in this context what that means.
- How could you solve this problemHotter hand Our basketball player in Exercise 41 hasnew sneakers, which he thinks improve his game. Overhis past 40 shots, he’s made 32—much better than the 55% he usually shoots. Do you think his chances of mak-ing a shot really increased? In other words, is making at least 32 of 40 shots really unusual for him? (Do youthink it’s his sneakers?)When it is sunny, Joe's ice cream truck generates a profit of $547 per day, when it is not sunny, the profit is $250 per day, and when the truck is not out there selling ice cream, Joe loses $120 per day. Suppose 8% of a year Joe's truck is on vacation, and 86% of a year the truck is selling ice cream on sunny days, what is the expected daily profit the truck generates over a year? Enter answer as a decimal rounded to TWO digits after the decimal point.
- Foreign freshmen are required to take an English placement exam. Over the past several years, 20% of the new students have failed the test and have been placed in remedial classes. In a sample of n = 100 studentsfrom this year’s class, only 12 failed the test.67% 3 / 4 4. Find P(A) 12 (c) P(A) 1 () P(A)-7 5 13 (a) P(4) (b) P(A)- 17 17 5. Find P(AC B) () P(A\B)= 12 (a) P(AnB)= 17 (b) P(Ar B) = 17 (6) P(Ar B)= 17 6. Find P(AUB) (3) P{AJB) = (h) P(AB)= (e) P(AUB}= 12 (d) P(AUB)= 7. Find P(AC B) 10 13 17A researcher has been observing a certain volcano for a long time. He knows that an eruption is imminent and is equally likely to occur any time in the next 24 hours. Find a time such that there is only 18% chance that the volcano would not have erupted by that time. Select one: O a. 16.8 O b. 4.32 团。 19.68 C. O d. 7.92