Statistics Mid-Term problems 1. M&Ms are blended with 13% brown, 14% yellow, 13% red, 24% blue, 20% orange and 16% green. Suppose you choose a sample of two M&Ms at random from a large bag: a) What is...

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Statistics Mid-Term problems 1. M&Ms are blended with 13% brown, 14% yellow, 13% red, 24% blue, 20% orange and 16% green. Suppose you choose a sample of two M&Ms at random from a large bag: a) What is the probability that they are both brown? b) What is the probability that they are both blue? c) Find the probability of one red and one yellow. Assume you eat the first selection. 2. Bob set two alarm clocks to make sure that he doesn’t oversleep for a Stats test the next morning. There is an 15% chance that Bob sleeps in late missing an alarm clock. What is the probability that Bob sleeps in late missing both alarms? 3. There is a 30% chance that a company bidding for contract (A) gets that contract. There is a 40% chance that the same company bidding for contract (B) gets that contract. There is a 5% chance of the company getting both contracts. Are the events dependent or independent? Why? 4. Research indicates that 2,118 out of 100,000 Americans live to age 100 or older. What is the probability of selecting an American at random and finding that he/she does not live to age 100? 5. A security code is made up of one upper case letter, followed by one lower case letter, followed by 4 digits from (0-9). How many security codes are possible? 6. Bob must study for statistics, accounting, english and physics over the next couple of days. Assuming he will study only once for each subject; how many different looking study schedules could Bob come up with? 7. A survey of 34 Mercy College students showed the following Majors: Accounting10 Finance 5 Management 6 Marketing 10 No Major 3 a) What is the probability of selecting a student from this survey and he/she is a Marketing major? b) What is the probability of randomly selecting a student from this survey and he/she is a Finance major or has no major? c) What is the probability of randomly selecting a student from this survey and he/she is not an Accounting major? 8. Three hundred viewers were asked if they were satisfied with the TV coverage of a recent disaster. Graduated from High school Didn’t graduate from HS Satisfied 80 55 Unsatisfied 120 45 a) What is the probability of selecting a viewer at random and he/she was satisfied with the coverage or didn’t graduate from HS? b) What is the probability of selecting a viewer at random and he/she was not satisfied with the coverage? c) What is the probability of selecting a viewer at random and he/she graduated from high school or was not satisfied with the coverage? 9. A car vendor has a red, a blue, a green, a white and a black car the she wants to line up in front of her dealership. How many different ways could she arrange these different colored cars in a line. 10. The Grand Theater uses teams of three to work the concession stand each evening. There are seven employees available to work each evening. What counting rule would allow use to figure out how many teams can be scheduled to staff the concession stand? Why? 11. A trucking company has a 95% on time arrival rate. What is the probability of looking at this company’s last 50 deliveries and exactly 49 arrive on time?