A teacher designs a test so that 92% of students who study will pass and 7% of students who don't study will pass.94% of students study for a test.What is the probability that a randomly selected student passes?

A) 0.042
B) 0.869
C) 0.865
D) 0.92
E) 0.495

Question

Jayden Centers · Accepted Answer

Final Answer : B, Explanation :  The probability that a student passes can be calculated using the total probability theorem. Let's denote S as the event of a student studying and S' as not studying. P(Pass) = P(Pass|S)P(S) + P(Pass|S')P(S'). Given P(Pass|S) = 0.92, P(S) = 0.94, P(Pass|S') = 0.07, and P(S') = 0.06 (since 1 - 0.94 = 0.06), we get P(Pass) = 0.92*0.94 + 0.07*0.06 = 0.8648 + 0.0042 = 0.869.

A teacher designs a test so that 92% of students who study will pass and 7% of students who don't study will pass.94% of students study for a test.What is the probability that a randomly selected student passes?

A) 0.042
B) 0.869
C) 0.865
D) 0.92
E) 0.495

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Learning Objectives

Related questions

A teacher designs a test so that 92% of students who study will pass and 7% of students who don't study will pass.94% of students study for a test.What is the probability that a randomly selected student passes?A) 0.042B) 0.869C) 0.865D) 0.92E) 0.495

Definitions

Learning Objectives

Learning Objectives

Related questions

A teacher designs a test so that 92% of students who study will pass and 7% of students who don't study will pass.94% of students study for a test.What is the probability that a randomly selected student passes?

A) 0.042
B) 0.869
C) 0.865
D) 0.92
E) 0.495