Answer :
Answer:
a) 0.0828 = 8.28% probability that a randomly selected student is in a high-level English class and has been bullied
b) 0.12 = 12% probability that a randomly selected student is in a music class and has been bullied
c) 0.0276 = 2.76% probability that a randomly selected student is in a music class, has been bullied, and is in a high-level English class
Step-by-step explanation:
Probabilities of independent events happening together:
The probabilities of independent events happening together is the multiplication of the probabilities of each event happening.
In this question:
0.23 probability that a student is taking a high-level English class.
0.36 probability that a student has been bullied.
1/3 = 0.3333 probability that a student is in music class.
(a) What is the probability that a randomly selected student is in a high-level English class and has been bullied?
0.23*0.36 = 0.0828
0.0828 = 8.28% probability that a randomly selected student is in a high-level English class and has been bullied
(b) What is the probability that a randomly selected student is in a music class and has been bullied?
0.36*1/3 = 0.12
0.12 = 12% probability that a randomly selected student is in a music class and has been bullied
(c) What is the probability that a randomly selected student is in a music class, has been bullied, and is in a high-level English class?
0.23*0.36*1/3 = 0.23*0.12 = 0.0276
0.0276 = 2.76% probability that a randomly selected student is in a music class, has been bullied, and is in a high-level English class