Question

1. Every 5^th ticket in a raffle wins a prize. Jim buys 4 tickets. What is the probability that he wins at least one prize?

2. Two dice are rolled 4 times. Find the probability that exactly two times the sum of the outcomes will be greater than 9.

3. Larry is driving from Boston, MA, to Hartford, CT, and he is speeding. The fines for speeding are $200 in CT and $150 in MA, and the probabilities of getting a fine are 0.3 for CT and 0.4 for MA. Find the distribution of random variable X representing the total amount of fines that he may have to pay.

4. Tom is taking a test with 5 multiple choice questions. Each question has 4 answer options; 3 correct answers are needed to pass the test. Tom is not ready for the test, so he is guessing his answers at random. He is sure that he has more than 10% chance to pass the test. Is he correct? Explain.

5. LG is the third most popular cellular phone model in the USA (behind Apple and Samsung), with market share of 15%. What is the probability that out of 100 randomly picked cell phone users

between 12 and 20 (inclusive) will have LG phone? (Identify the correct method and complete the calculations).

Answer 1

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