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5. An art competition has 30 entries from 3 painters: Alice, Bob, and Carol. We have the following information: • Alice put in 15 paintings, 4% of her works have won first place. • Bob put in 5 paintings, 6% of his works have won first place. • Carol put in 10 paintings, 3% of her works have won first place. • Multiple entries can win first place. (a) Suppose one of the entries is selected randomly. What is the probability that the entry wins first place? [Warning: We are not excluding the possibility of having only one first place winner, so it's not 30-1 Round to 3 decimal places. (b) What is the probability that Alice will win first place? That is, if one of the entries wins first place, what is the probability the entry belongs to Alice? Round to 3 decimal places. la kupo (c) What is the probability that a non-first place entry belongs to Bob? Round to 3 decimal places.

5. An art competition has 30 entries from 3 painters: Alice, Bob, and Carol. We have the following information: • Alice put in 15 paintings, 4% of her works have won first place. • Bob put in 5 paintings, 6% of his works have won first place. • Carol put in 10 paintings, 3% of her works have won first place. • Multiple entries can win first place. (a) Suppose one of the entries is selected randomly. What is the probability that the entry wins first place? [Warning: We are not excluding the possibility of having only one first place winner, so it's not 30-1 Round to 3 decimal places. (b) What is the probability that Alice will win first place? That is, if one of the entries wins first place, what is the probability the entry belongs to Alice? Round to 3 decimal places. la kupo (c) What is the probability that a non-first place entry belongs to Bob? Round to 3 decimal places.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 11CYU
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5. An art competition has 30 entries from 3 painters: Alice, Bob, and Carol. We have the following information: • Alice put in 15 paintings, 4% of her works have won first place. ● Bob put in 5 paintings, 6% of his works have won first place. • Carol put in 10 paintings, 3% of her works have won first place. Multiple entries can win first place. (a) Suppose one of the entries is selected randomly. What is the probability that the entry wins first place? [Warning: We are not excluding the possibility of having only one first place winner, so it's not 30-1 Round to 3 decimal places. 20 sowate pov apstallkola (8) (b) What is the probability that Alice will win first place? That is, if one of the entries wins first place, what is the probability the entry belongs to Alice? Round to 3 decimal places. wat oy bosqics n (alam() (c) What is the probability that a non-first place entry belongs to Bob? Round to 3 decimal places. ascule ambebs at when your boo
Transcribed Image Text:5. An art competition has 30 entries from 3 painters: Alice, Bob, and Carol. We have the following information: • Alice put in 15 paintings, 4% of her works have won first place. ● Bob put in 5 paintings, 6% of his works have won first place. • Carol put in 10 paintings, 3% of her works have won first place. Multiple entries can win first place. (a) Suppose one of the entries is selected randomly. What is the probability that the entry wins first place? [Warning: We are not excluding the possibility of having only one first place winner, so it's not 30-1 Round to 3 decimal places. 20 sowate pov apstallkola (8) (b) What is the probability that Alice will win first place? That is, if one of the entries wins first place, what is the probability the entry belongs to Alice? Round to 3 decimal places. wat oy bosqics n (alam() (c) What is the probability that a non-first place entry belongs to Bob? Round to 3 decimal places. ascule ambebs at when your boo
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