Problem 1. Find the first, second, and third quartiles for the ages of the 10 most powerful women using the data set listed.

26, 70, 37, 47, 31, 45, 43, 42, 44, 48, 35

a. Find the median.

b. Find the first and third quartiles, Q1 and Q3.

c. Find the interquartile range.

d. Identify any data entries less than Q1 1.5(IQR) or greater than Q3 + 1.5(IQR).

e. Any outliers?

f. Find the five-number summary of the data set. g. Draw the box- and-whiskers plot.

Problem 2. What are the outliers for:

19, 2, 4, 5, 7, 3, 1, 3, 20

Problem 3. Find the 5 number summary, the interquartile range, and then construct a box and whisker plot for the data given.

8, 15, 12, 10, 6, 7, 4, 10

Problem 4. Find the 5 number summary and construct a box and whisker plot for the data given.

71, 72, 59, 69, 72, 25, 70, 73, 77

Problem 5. A sample of 200 persons is asked about their handedness. A two-way table of observed counts follows:

Lefthanded Righthanded Total

Men 11 79

Women 9 101

TOTAL

Let M: selected person is a men; W: selected person is a women; L: selected person is left-handed; R: selected person is right-handed. If one person is randomly selected, find:

a. P(W)

b. P(R)

c. P(M R)

d. P(W L)

e. P(M | L)

f. P(R | W)

g. If two persons are randomly selected with replacement, What is the probability of the first selected person is a left-handed men and the second selected person is a right-handed men?

h. If two persons are randomly selected with replacement, what is the probability of the first selected is a left-handed women and the second selected person is also a left-handed women?

i. If two persons are randomly selected without replacement, what is the probability of the first selected person is a left-handed men and the second selected person is a right-handed men?

j. If two persons are randomly selected without replacement, What is the probability of the first selected is a left-handed women and the second selected person is also a left-handed women?

Problem 6. Probability experiment is you toss a fair coin four times

a. Write the sample space for the above probability experiment?

b. What is the probability of getting exactly 2 heads?

c. What is the probability of getting at least two heads?

d. What is the probability of getting at most two heads?

e. What is the probability of getting three heads?