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Probability and Probability Distributions · Paper 2 — Free Maths AA HL Practice Questions

1MasterySAQ-SBasic probability rules and conceptss6 marksPaper 2~9 min

A company manufactures electronic components. Each component is tested for two types of defects:

A

and

B

. The probability that a randomly selected component has defect

A

0.12

, the probability that it has defect

B

0.08

, and the probability that it has both defects is

0.03

(a)

Calculate the probability that a randomly selected component has at least one of the two defects. [2 marks]

(b)

Determine, with a reason, whether events

A

and

B

are independent. [2 marks]

(c)

A component is selected at random and found to have defect

A

. Calculate the probability that it also has defect

B

. [1 mark]

(d)

A quality-control engineer claims: "A component with defect $A$ is more than twice as likely to have defect $B$ as a randomly selected component." Determine whether this claim is correct, justifying your answer with a comparison of appropriate probabilities. [1 mark]

Solutions

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