# Mathematics

(Show all your work to get full credit. This quiz covers materials from week 5)

1. (24 pts) In addition to being grouped into four types, human blood is grouped by its Rhesus (Rh) factor. Consider the figures below which show the distributions of these groups for Americans.

Type

O

A

B

AB

Rh+

37%

34%

10%

4%

Rh-

6%

6%

2%

1%

Choose one American at random. Find the probability that the person

a) Is a universal donor, i.e., has O-negative blood

b) Has type O blood given that the person is Rh+

c) Has A+ or AB- blood

d) Has Rh- given that the person has type B

2. (24 pts) Two dice are rolled. Find the probability of getting

a) A sum of 8, 9, or 10 (fraction)

b) Doubles or a sum of 7. (fraction)

c) A sum greater than 9 or less than 4. (fraction)

3. (24 pts) A bag contains 9 red marbles, 8 white marbles, and 6 blue marbles. Randomly choose two marbles, one at a time, and without replacement. Find the following.

a) The probability that the first marble is red and the second is white. (fraction or 3 decimals)

b) The probability that both are the same color. (fraction or 3 decimals)

c) The probability that the second marble is blue. (fraction or 3 decimals)

4. (28 pts) If 60% of all women are employed outside the home, find the probability that in a sample of 20 women,

a) Exactly 15 are employed (4 decimals)

b) At least 10 are employed (4 decimals)

c) At most 5 are not employed outside the home (4 decimals)

Note: At least = minimum; At most = maximum

(

Show all your work

to get full credit

. This

quiz covers materials from week 5

)

1.

(

24

pts

) In

addition to being grouped into four types, human blood is grouped by its Rhesus

(Rh) factor. Consider the figures below which show the distributions of these groups for

Americans.

Type

O

A

B

AB

Rh+

37%

34%

10%

4%

Rh

–

6%

6%

2%

1%

Choose one American at random. Find the probability that the person

a)

Is a universal donor, i.e., has O

–

negative blood

b)

Has type O blood given that the person is Rh+

c)

Has A+ or AB

–

blood

d)

Has Rh

–

given that the person has type B

2.

(24

pts

)

Two dice are rolled. Find the probability of getting

a) A sum of 8, 9, or 10

(fraction)

b) Doubles or a sum of 7.

(fraction)

c) A sum greater than 9 or less than 4.

(fraction)

3.

(24

pts)

A bag contains 9 red marbles, 8 white marbles, and 6 blue

marbles. Randomly choose

two marbles, one at a time, and without replacement. Find the following.

a) The probability that the first marble is red and the second is white.

(fraction or 3 decimals)

b) The probability that both are the same color.

(fraction o

r 3 decimals)

c) The probability that the second marble is blue.

(fraction or 3 decimals)

4

.

(28 pts)

If 60% of all women are employed outside the home, find the probability that in a

sample of 20 women,

a)

Exactly 15 are employed (4 decimals)

b)

At least

10 are employed (4 decimals)

c)

At most 5 are not employed outside the home (4 decimals)

Note: At least = minimum; At most = maximum

(Show all your work to get full credit. This quiz covers materials from week 5)

1. (24 pts) In addition to being grouped into four types, human blood is grouped by its Rhesus

(Rh) factor. Consider the figures below which show the distributions of these groups for

Americans.

Type O A B AB

Rh+ 37% 34% 10% 4%

Rh- 6% 6% 2% 1%

Choose one American at random. Find the probability that the person

a) Is a universal donor, i.e., has O-negative blood

b) Has type O blood given that the person is Rh+

c) Has A+ or AB- blood

d) Has Rh- given that the person has type B

2. (24 pts) Two dice are rolled. Find the probability of getting

a) A sum of 8, 9, or 10 (fraction)

b) Doubles or a sum of 7. (fraction)

c) A sum greater than 9 or less than 4. (fraction)

3. (24 pts) A bag contains 9 red marbles, 8 white marbles, and 6 blue marbles. Randomly choose

two marbles, one at a time, and without replacement. Find the following.

a) The probability that the first marble is red and the second is white. (fraction or 3 decimals)

b) The probability that both are the same color. (fraction or 3 decimals)

c) The probability that the second marble is blue. (fraction or 3 decimals)

4. (28 pts) If 60% of all women are employed outside the home, find the probability that in a

sample of 20 women,

a) Exactly 15 are employed (4 decimals)

b) At least 10 are employed (4 decimals)

c) At most 5 are not employed outside the home (4 decimals)

Note: At least = minimum; At most = maximum