math302 statics amu/apu

One of the requirements for a binomial experiment is that there must be a(n) _____ number of trials.

Question 13 of 20

1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

Find the mean of the probability distribution:

X	0	1	2	3	4
P(X)	0.12	0.16	0.24	0.30	0.18

Round your answer to two decimal place as necessary. For example, 4.56 would be a legitimate entry.

Mean =

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

In February 2002 the Argentine peso lost 70% of its value compared to the United States dollar. This devaluation drastically raised the price of imported products. According to a survey conducted by AC Nielsen in April 2002, 68% of the consumers in Argentina were buying fewer products than before the devaluation, 24% were buying the same number of products, and 8% were buying more products. Furthermore, in a trend toward purchasing less-expensive brands, 88% indicated that they had changed the brands they purchased. Suppose the following complete set of results were reported. Use the following data to answer this question.

	Number of Products Purchased
Brands Purchased	Fewer	Same	More	Total
Same	10	14	24	48
Changed	262	82	8	352
Total	272	96	32	400

Given that a consumer changed brands, what then is the probability that the consumer purchased fewer products than before? Place your answer, rounded to 4 decimal places, in the blank.

Question 15 of 20

1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

An ice cream vendor sells three flavors: chocolate, strawberry, and vanilla. Forty five percent of the sales are chocolate, while 30% are strawberry, with the rest vanilla flavored. Sales are by the cone or the cup. The percentages of cones sales for chocolate, strawberry, and vanilla, are 75%, 60%, and 40%, respectively. For a randomly selected sale, define the following events:

= chocolate chosen = strawberry chosen = vanilla chosen = ice cream on a cone ice cream in a cup

Find the probability that the ice cream was vanilla flavor, given that it was sold in a cup. Place your answer, rounded to 4 decimal places, in the blank. For exampe, 0.3456 would be a legitimate entry.

Question 4 of 20 1.0 Points What is the probability of drawing two queens in a row from a standard deck of cards without replacement? A.0.0015 B.0.0059 C.0.0385 D.0.0045 Reset Selection Question 5 of 20 1.0 Points Three cards are drawn from a deck without replacement. What is the probability that all three cards are clubs? A.0.0129 B.0.012 C.0.25 D.0.0156 Reset Selection

Part 2 of 6 - Question 6 of 20 1.0 Points One of the requirements for a binomial experiment is that there must be a(n) _____ number of trials. A.fixed B.infinite C.random D.odd Reset Selection Question 7 of 20 1.0 Points Suppose that 50 identical batteries are being tested. After 8 hours of continuous use, assume that a given battery is still operating with a probability of 0.70 and has failed with a probability of 0.30. What is the probability that greater than 30 batteries will last at least 8 hours? A.0.8594 B.0.0848 C.0.9522 D.0.9152 Reset Selection Question 8 of 20 1.0 Points Suppose that 50 identical batteries are being tested. After 8 hours of continuous use, assume that a given battery is still operating with a probability of 0.70 and has failed with a probability of 0.30. What is the probability that between 25 and 30 batteries (inclusive) will last at least 8 hours? A.0.9169 B.0.1186 C.0.0839 D.0.7792 Reset Selection Question 9 of 20 1.0 Points Find the variance of the following probability distribution. X P(X) 1 0.30 2 0.15 3 0.05 4 0.25 5 0.25 A.1.73 B.1.61 C.2.60 D.1.27 Reset Selection Question 10 of 20 1.0 Points A drug is reported to benefit 40% of the patients who take it. If 6 patients take the drug, what is the probability that 4 or more patients will benefit? A.0.862 B.0.179 C.0.138 D.0.667 Reset Selection