AP Unit 8 Stat

For the density curve shown, which of the following statements is true?

• The mean is larger than the median.

• The proportion of outcomes between 0.2 and 0.5 is equal to 0.3.

• The total area under the curve is greater than 1.

• The proportion of outcomes greater than 1.5 is equal to 0.25.

Jorge's score on Exam 1 in his statistics class was at the 64th percentile of the scores for all students. His score falls

• between the minimum and first quartile

• between the first quartile and the median

• between the median and the third quartile

• between the third quartile and the maximum

• at the mean score for all students

Fuji apples grown at a certain orchard have a mean weight of 5.2 ounces with a standard deviation of 0.8 ounces. Suppose the scale the orchard owner uses systematically underweighs apples by 0.2 ounces and also weighs the apples in grams, rather than ounces. What would the mean and standard deviation of these apples’ weights be as determined by this scale? (Note: 1 ounce ≈ 28 grams).

• Mean 145.6 grams, standard deviation 22.4 grams.

• Mean 140 grams, standard deviation 22.4 grams.

• Mean 140 grams, standard deviation 16.8 grams.

P(Pizza ∩ Water) =

• 62/182

• 120/400

• 58/400

• 140/400

A group of 125 pick up truck owners were asked what brand truck they owned and whether it had four-wheel drive. The results are given in the two-way table.
You randomly select one truck owner. Which one of the following is true about the events "Owner has a Chevy" and "Owner's truck has four-wheel drive"?

• These two events are mutually exclusive and independent. 

• These two events are mutually exclusive, but not independent. 

• These two events are not mutually exclusive, but they are independent.

• These two events are neither mutually exclusive nor independent.

Given the probabilities P(A) =0.4 and P(A∪B) =0.6, what is the probability P(B): If A and B are mutually exclusive? If A and B are independent?

• 0.2; 0.4

• 0.2; 0.33

• 0.33; 0.2

• 0.6; 0.33

If P(A) = 0.34 and P(A or B) = 0.71, which of the following is false?

• P(B) = 0.37, if A and B are disjoint.

• P(B) = 0.561, if A and B are independent.

• Cannot be determined if A and B are neither disjoint nor independent.

• P(A∣B)= 0.34, if A and B are independent.

P(Freshman or Pizza):

• 27/50

• 4/50

• 3/50

• 30/50

P(Sandals|Pants):

• 4/20

• 6/15

• 1/2

• 2/7

At a California college, 19% of the students speak Spanish, 7% speak French, and 4% speak both languages.  A student is chosen at random from the college.  What is the probability that the student speaks Spanish if she speaks French?

• 0.220

• 0.211

• 0.040

• 0.571