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QUESTION 8 A school class of 50 students is driven in 3 buses to a symphonic performance. There are 5 students in one of the buses, 25 in another, and 20 in the third bus. When the buses arrive, one of the 50 students is randomly chosen. Let X denote the number of students that were on the bus carrying the randomly chosen student, and find E[X]. 21 19 17 23 QUESTION 9 A contestant on a quiz show is presented with two questions, questions 1 and 2, which he is to attempt to answer in some order he chooses. If he decides to try question 1 first, then he will be allowed to go on to question 2, only if his answer to question 1 is correct. Also if he decides to try question 2 first, then he will be allowed to go on to question 1, only if his answer to question 2 is correct. If his initial answer is incorrect, he is not allowed to answer the other question. The contestant is to receive $100 dollars if he answers question 1 correctly, and $200 dollars if he answers question 2 correctly. For instance, he will receive $300 dollars if he answers both questions correctly. The probability that he knows the answer to question 1 is 60 percent, and he is 80 percent certain of answering question 2. If we let X denote the winnings at the end of quiz show (total prize money that the contestant earned from the quiz show), then X is a random variable taking one of the values $0, $100, $200, and $300 with respective probabilities. What is the expected winnings E[X] of this quiz show when he attempts to answer question 1 first? 264 156 168 100 QUESTION 10 Refer to question 9. Given the same random variable X as above, what is the expected winnings E[X] of this quiz show when he attempts to answer question 2 first? 224 176 200 208

          QUESTION 8
A school class of 50 students is driven in 3 buses to a symphonic performance. There are 5 students in one of the buses, 25 in another, and 20 in the third bus. When the buses arrive, one of the 50 students is randomly chosen. Let X denote the number of students that were on the bus carrying the randomly chosen student, and find E[X].
21
19
17
23
QUESTION 9
A contestant on a quiz show is presented with two questions, questions 1 and 2, which he is to attempt to answer in some order he chooses. If he decides to try question 1 first, then he will be allowed to go on to question 2, only if his answer to question 1 is correct. Also if he decides to try question 2 first, then he will be allowed to go on to question 1, only if his answer to question 2 is correct. If his initial answer is incorrect, he is not allowed to answer the other question. The contestant is to receive $100 dollars if he answers question 1 correctly, and $200 dollars if he answers question 2 correctly. For instance, he will receive $300 dollars if he answers both questions correctly. The probability that he knows the answer to question 1 is 60 percent, and he is 80 percent certain of answering question 2.
If we let X denote the winnings at the end of quiz show (total prize money that the contestant earned from the quiz show), then X is a random variable taking one of the values $0, $100, $200, and $300 with respective probabilities. What is the expected winnings E[X] of this quiz show when he attempts to answer question 1 first?
264
156
168
100
QUESTION 10
Refer to question 9. Given the same random variable X as above, what is the expected winnings E[X] of this quiz show when he attempts to answer question 2 first?
224
176
200
208

QUESTION 8
A school class of 50 students is driven in 3 buses to a symphonic performance. There are 5 students in one of the buses, 25 in another, and 20 in the third bus. When the buses arrive, one of the 50 students is randomly chosen. Let X denote the number of students that were on the bus carrying the randomly chosen student, and find E[X].
21
19
17
23
QUESTION 9
A contestant on a quiz show is presented with two questions, questions 1 and 2, which he is to attempt to answer in some order he chooses. If he decides to try question 1 first, then he will be allowed to go on to question 2, only if his answer to question 1 is correct. Also if he decides to try question 2 first, then he will be allowed to go on to question 1, only if his answer to question 2 is correct. If his initial answer is incorrect, he is not allowed to answer the other question. The contestant is to receive 100 dollars if he answers question 1 correctly, and200 dollars if he answers question 2 correctly. For instance, he will receive 300 dollars if he answers both questions correctly. The probability that he knows the answer to question 1 is 60 percent, and he is 80 percent certain of answering question 2.
If we let X denote the winnings at the end of quiz show (total prize money that the contestant earned from the quiz show), then X is a random variable taking one of the values0, 100,200, and 300 with respective probabilities. What is the expected winnings E[X] of this quiz show when he attempts to answer question 1 first?
264
156
168
100
QUESTION 10
Refer to question 9. Given the same random variable X as above, what is the expected winnings E[X] of this quiz show when he attempts to answer question 2 first?
224
176
200
208

Added by Kristina D.

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