Mat 120 – Statistics – Test 2

Mat 120 – Statistics – Test 2.

1. Is it possible for the probability of an event to be 4.93 x 10 ^–12   ? __________

 

2. If P(C) = .26, P(D) = .43 and P(C and D) = .18, are the events C and D mutually exclusive? ____________________ Find P(C or D). __________

 

3. An urn contains 14 balls identical in every aspect except color. There are 8 green, 5 red balls and 1 white ball in the urn.
   1. If you draw a ball, record the color then draw a second and record the color. What is the probability of choosing a green followed by a red ball? __________
   2. If you draw a ball, record the color, replace it then draw a second and record the color. What is the probability of choosing two white balls? __________
   3. Are the events in 3a independent or dependent? ____________________

 

4. Robert has to choose from 25 kids for his volleyball team, which only keeps eleven. How many different ways are possible for filling the team? ____________________

 

5. Nine horses run in the Great Race. How many different arrangements of:
   1. placing 1^st, 2^nd and 3^rd are possible? _________________________
   2. finishing the race are possible? _________________________
   3. find the value of ₁₂P₈. ____________________

 

6. A SC Tourist Bureau survey showed that 73% of those who seek information about the state actually come to visit. The office received 4 requests for information. Find: (round to four decimal places)
   1. The probability that all will visit SC? ________________
   2. The probability that none will visit SC? ________________
   3. The probability that at least one will visit? _________________
   4. Is it unlikely that all will visit? _________________
7. All Indy commercial license plates have three letters – excluding I, O, B, S – three numbers and allow any 2 of the symbols: dash –, hash tag #, dollar sign $, asterisk *, ampersand &, caret ^ and at @. How many commercial license plates can be minted if the law says you cannot repeat a letter, number or symbol? ____________________; What is the probability of being issued a license plate if your company wants the second symbol to be an ampersand?  __________

 

8. J inspects shipments of appliances and has the following results:

 

	Co. A	Co. B	Co. C
Good	88	119	127
Defective	5	12	7

 

If an appliance is chosen from the batch, find: (write as a fraction or a decimal rounded to the nearest thousandths)

1. P(from Co. A). __________
2. P(Good). __________
3. P(from Co. A or is defective). __________
4. P(from Co. C given that it is good). __________
5. P(Defective from Co. A). __________
6. P(from Co. B or is not defective). __________
7. P(Good given that it is from Co. A). __________
8. Is it unlikely that he will pick a good appliance from Co. A? __________

 

9. Give the sample space for the outcome of flipping a coin three times.

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Mat 120 – Statistics – Test 2

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