1).Determine the probability P6 for a binomial experiment with =n11 trials and the success probability =p0.3. Then find the mean, variance, and standard deviation.

Find the mean. If necessary, round the answer to two decimal places.

The mean is____

Find the variance and standard deviation. If necessary, round the variance to two decimal places and standard deviation to at least three decimal places.

The variance is ___

The standard deviation is _____

2). Determine whether the random variable X has a binomial distribution. If it does, state the number of trials n. If it does not, explain why not. Thirty students are randomly chosen from a small college with an enrollment of 2400. Let X be the number who are freshmen students.

The random variable does or does not have a binomial distribution.?

3. The following table presents the manufacturer's suggested retail price (in $1000s) for base models and styles of BMW automobiles. Round the data to the nearest whole number (round .5 up) and construct a stem-and-leaf plot, using the numbers 3 through 14 as the stems. Do not separate the answers with a comma. If there are no leaves, select the "None" button.

60.1 82.4 73.6

31.2 50.1 86.2

86.8 96.7 36.9

55.2 55.7 53.4

140.7 55.2 30.8

89.8 108.4 64.2

77.6 90.5 62.7

38.6 39.3 93.5

93.7 44.0 65.0

68.8 47.5 57

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4. 2) The following table presents the manufacturer's suggested retail price (in $1000s) for base models and styles of BMW automobiles. Round the data to the nearest whole number (round .5 up) and construct a stem-and-leaf plot, using the numbers 3 through 14 as the stems. Do not separate the answers with a comma. If there are no leaves, select the "None" button.

60.1 82.4 73.6

31.2 50.1 86.2

86.8 96.7 36.9

55.2 55.7 53.4

140.7 55.2 30.8

89.8 108.4 64.2

77.6 90.5 62.7

38.6 39.3 93.5

93.7 44.0 65.0

68.8 47.5 57.

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5. Quality control: A population of 609 semiconductor wafers contains wafers from three lots. The wafers are categorized by lot and by whether they conform to a thickness specification, with the results shown in the following table. A wafer is chosen at random from the population. answer as a fraction or a decimal, rounded to four decimal places.

Lot Conforming Nonconforming

A 94 15

B 169 32

C 263 36

(a) What is the probability that the wafer is from Lot A?

(b) What is the probability that the wafer is nonconforming?

(c) What is the probability that the wafer is from Lot A and is nonconforming?

(d) Given that the wafer is from Lot A, what is the probability that it is nonconforming?

(e) Given that the wafer is nonconforming, what is the probability that it is from Lot A?

(f) Let E1 be the event that the wafer comes from Lot A, and let E2 be the event that the wafer is nonconforming.

Are E1 and E2 independent?

6. Let A and B be events with =PA0.3, =PB0.8, and =PA and B0.2.

(a) Are A and B independent? Explain.

(b) Compute PA or B.

(c) Are A and B mutually exclusive? Explain.

7 The following table presents the manufacturer's suggested retail price (in $1000s) for 2013 base models and styles of BMW automobiles.

The following table presents the manufacturer's suggested retail price (in $1000s) for base models and styles of BMW automobiles. Round the data to the nearest whole number (round .5 up) and construct a stem-and-leaf plot, using the numbers 3 through 14 as the stems. Do not separate the answers with a comma. If there are no leaves, select the "None" button.

60.1 82.4 73.6 31.2 50.1 86.2

86.8 96.7 36.9 55.2 55.7 53.4

140.7 55.2 30.8 89.8 108.4 64.2

77.6 90.5 62.7 38.6 39.3 93.5

93.7 44.0 65.0 68.8 47.5 57.7

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