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Statistics

78. Twenty-five randomly selected students were asked the number of movies they watched the previous week. The results are as follows.

# of movies Frequency Relative Frequency Cumulative Relative Frequency
0 5    
1 9    
2 6    
3 4    
4 1    

a.       Construct a histogram of the data.

b.      Complete the columns of the chart.

80. If the data were collected by asking the first 111 people who entered the store, then the type of sampling is:

a. cluster

b. simple random

c. stratified

d. convenience

8. You know the minimum, the maximum, and the 25th, 50th, and 75th percentiles of a distribution. Which of the following measures of central tendency or variability can you determine?

Mean, median, mode, trimean, geometic mean, range, interquartile range, variance, standard deviation.

Here is the link to the case study to answer questions 30-31

http://onlinestatbook.com/2/case_studies/adhd.html

 30. (AT) What is the mean number of correct response of the participants after taking the placebo (o mg/kg)?

31. (AT) What are the standard deviation and the interquartile range of the d0 condition?

5. A fair coin is flipped 9 times. What is the probability of getting exactly 6 heads?

7. You flip a coin three times. (a) What is the probability of getting heads on only one of your flips? (b) What is the probability of getting heads on at least one flip?

9. A jar contains 10 blue marbles, 5 red marbles, 4 green marbles, and 1 yellow marble. Two marbles are chosen (without replacement).

(a) What is the probability that one will be green and the other red?

(b) What is the probability that one will be blue and the other yellow?

27. A refrigerator contains 6 apples, 5 oranges, 10 bananas, 3 pears, 7 peaches, 11

plums, and 2 mangos.

a. Imagine you stick your hand in this refrigerator and pull out a piece of fruit

at random. What is the probability that you will pull out a pear?

b. Imagine now that you put your hand in the refrigerator and pull out a piece

of fruit. You decide you do not want to eat that fruit so you put it back into the

refrigerator and pull out another piece of fruit. What is the probability that the

first piece of fruit you pull out is a banana and the second piece you pull out is

an apple?

c. What is the probability that you stick your hand in the refrigerator one time

and pull out a mango or an orange?

98. At a college, 72% of courses have final exams and 46% of courses require research papers. Suppose that 32% of courses

have a research paper and a final exam. Let F be the event that a course has a final exam. Let R be the event that a course

requires a research paper.

a. Find the probability that a course has a final exam or a research project.

b. Find the probability that a course has NEITHER of these two requirements.

 
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