3. Use the chart below to answer the following questions. Note band or in sports

Question

3. Use the chart below to answer the following questions. Note band or in sports, but not both and it is possible a student is in neither activity : A student can be in High School Population in Make-Believe, California Class Freshmen Sophomores Juniors Seniors Males 100 150 100 90 Females 150 350 125 100 Sports 50 65 30 40 Band 60 35 25 20 Find the Probability that a person chosen at random is a. In sports or in band b. Not in band c. A Sophomore or a Male d. In band given that the person is a junior e. A female given that the person is a freshman or a senior

Explanation / Answer

Solution:

Males

Females

Sports

Band

Total

Freshman

100

150

50

60

360

Sophomores

150

350

65

35

600

Juniors

100

125

30

25

280

Seniors

90

100

40

20

250

Total

440

725

185

140

1490

a)Probability of in sports or in Band

= P( Sports or Band) = 185/1490   +   140/1490

= 0.2181

b)P(Not in Band) =1 – P(in Band) = 1 – (140/1490) = 0.9060

c)P( Sophomore or Male) = P(Sophomore) + P(Male) – P(Sophomore and Male)

                                              = 0.5973

d)P(Band given that Junior) = 25/280

                                                  =0.0893

Done

Males

Females

Sports

Band

Total

Freshman

100

150

50

60

360

Sophomores

150

350

65

35

600

Juniors

100

125

30

25

280

Seniors

90

100

40

20

250

Total

440

725

185

140

1490

Related Questions

Navigate

• Browse (All)
• Browse 3
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.