4. In a random sample of male and female graduates of the New York School for the Arts between the ages of 22-35 you know that: • the probability a man is a ballet dancer is 0.28 • the probability a woman is a musical performer is 0.42 • the probability a man is a musical performer, given that he's a ballet dancer is 0.55 • the probability a woman is an actress is 0.55 the probability a woman is an actress, given that she's a musical performer is .67 Compute the following probabilities (show work): A. B. C. P (man is a ballet dancer and a musical performer) P (woman is an actress and a musical performer) P (woman is an actress or a musical performer)

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MTH510A_5_2_Practice_3_Pg1_Assignment &
File Edit View Insert Format Tools Extensions Help
a se A, 75%
1:3
Normal text
1
E
A.
B.
C.
Arial
▼
A.
Graded Assignment
4. In a random sample of male and female graduates of the New York School for the
Arts between the ages of 22-35 you know that:
• the probability a man is a ballet dancer is 0.28
the probability a woman is a musical performer is 0.42
B.
11
Compute the following probabilities (show work):
C.
+ B
•
the probability a man is a musical performer, given that he's a ballet dancer is 0.55
• the probability a woman is an actress is 0.55
• the probability a woman is an actress, given that she's a musical performer is .67
D.
I U A /
²34
6
MTHS10A: AP Statistics | Unit 5 | 5.2 Practice 3
P (man is a ballet dancer and a musical performer)
5. A college student frequents one of two coffee houses on campus, choosing
Starbucks 45% of the time and the Local Shop 55% of the time. At Starbucks she
buys a café mocha on 60% of her visits. But at the Local Shop they use high quality
chocolate, and she buys a mocha on 80% of her visits.
Probability of going to Starbucks and ordering a café mocha is:
P (woman is an actress and a musical performer)
→
P (woman is an actress or a musical performer)
Are the two events in part A independent?
Probability of (Local Shop | ordered a mocha)
Probability of going to Local Shop OR ordering Café Mocha
7
=▾ DE VE
……..
@
=
Share
m
31
(
8
?
+
Transcribed Image Text:MTH510A_5_2_Practice_3_Pg1_Assignment & File Edit View Insert Format Tools Extensions Help a se A, 75% 1:3 Normal text 1 E A. B. C. Arial ▼ A. Graded Assignment 4. In a random sample of male and female graduates of the New York School for the Arts between the ages of 22-35 you know that: • the probability a man is a ballet dancer is 0.28 the probability a woman is a musical performer is 0.42 B. 11 Compute the following probabilities (show work): C. + B • the probability a man is a musical performer, given that he's a ballet dancer is 0.55 • the probability a woman is an actress is 0.55 • the probability a woman is an actress, given that she's a musical performer is .67 D. I U A / ²34 6 MTHS10A: AP Statistics | Unit 5 | 5.2 Practice 3 P (man is a ballet dancer and a musical performer) 5. A college student frequents one of two coffee houses on campus, choosing Starbucks 45% of the time and the Local Shop 55% of the time. At Starbucks she buys a café mocha on 60% of her visits. But at the Local Shop they use high quality chocolate, and she buys a mocha on 80% of her visits. Probability of going to Starbucks and ordering a café mocha is: P (woman is an actress and a musical performer) → P (woman is an actress or a musical performer) Are the two events in part A independent? Probability of (Local Shop | ordered a mocha) Probability of going to Local Shop OR ordering Café Mocha 7 =▾ DE VE …….. @ = Share m 31 ( 8 ? +
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