STATS TEST NEED DONE ASAP

Mat 120 – Statistics – Test 2 (super easy) Name: ______________________________

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.

a. 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? __________

b. 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? __________

c. 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:

a. placing 1st, 2nd and 3rd are possible? _________________________

b. finishing the race are possible? _________________________

c. 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)

a. The probability that all will visit SC? ________________

b. The probability that none will visit SC? ________________

c. The probability that at least one will visit? _________________

d. 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. Mr. 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)

a. P(from Co. A). __________

b. P(Good). __________

c. P(from Co. A or is defective). __________

d. P(from Co. C given that it is good). __________

e. P(Defective from Co. A). __________

f. P(from Co. B or is not defective). __________

g. P(Good given that it is from Co. A). __________

h. 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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