Math 240 Test 2 MULTIPLE CHOICE Choose the one altermative that best completes t
ID: 3364928 • Letter: M
Question
Math 240 Test 2 MULTIPLE CHOICE Choose the one altermative that best completes the statement or 1) State whether the variable is discrete or continaous The number of goals scored in a soccer game A) continuous 1) B) discrete 2) The random variable x represents the number of cars per leusehold in a town 000 households. Find the probability of randomly selecting a household that has between one and three cars 2) Cars/Households 2 256 3108 83 A) 0.208 B) 0.256 C) 0.792 D) 0.125 3) Determine the probability distribution's missing value. 3) The probability that a tutor will see 0, 1, 2, 3, or 4 students A) 0.17 B)-0.63 C) 054 D) 0.83 4) In a raffle, 1,000 tickets are sold for $2 each. One ticket will be randomly selected and the winner 4 will receive a laptop computer valued at $1200. What is the expected value for a person that buys one ticket? A) -$1.20 B)-$0.80 C) $0.8 D) $1.20 5) A test consists of 20 multiple choice questions, each with five possible answers, only one of which is 5) correct. Find the mean and the standard deviation of the number of correct answers. A) mean: 10; standard deviation:1.79 C) mean: 10; standard deviation: 3.16 B) mean: 4; standard deviation: 2 D) mean: 4; standard deviation: 1.79 6) A test consists of 10 true or false questions. To pass the test a student must answer at least eight questions correctly. If the student guesses on each question, what is the probability that the student will pass the test? B) 0.08 C) 0.20 D) 0.8 A) 0.055 1.5 and z= 2.5. Find the area under the standard normal curve between z B) 0.9831 C)0.9270 D) 0.6312 A) 0.7182Explanation / Answer
1) The number of goals in a soccer game.
B) Discrete.
2) P(1) + P(2) + P(3)
= 428 / 1000 + 256 / 1000 + 108 / 1000
= C) 0.792.
3) P(0) + P(1) + P(2) + P(3) + P(4) = 1
=> 0.19 + 0.27 + 0.34 + 0.03 + P(4) = 1
=> 0.83 + P(4) = 1
=> P(4) = 1 - 0.83
= A) 0.17
4) Probability of winning = 1/1000 = 0.001.
Expected value = $1200 * 0.001 - $2 * 0.999
= -$0.798
= B) -$0.80.