There are two urns: Urn 1 contains 4 white, 6 black; Urn 2 contains 5 white, 5 black. An urn is chosen at random and a ball drawn. If it is white, probability it came from Urn 1 is: MCQ with Answer and Explanation

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There are two urns: Urn 1 contains 4 white, 6 black; Urn 2 contains 5 white, 5 black. An urn is chosen at random and a ball drawn. If it is white, probability it came from Urn 1 is:

A. 4/9

B. 5/9

C. 1/2

D. 2/5

Answer: Option A

Solution (By JKExamLibrary)

P(Urn1|W) = (1/2 * 4/10) / (1/2*4/10 + 1/2*5/10) = 0.2 / (0.2+0.25)=0.2/0.45=4/9.

This question belongs to: Accountancy and Statistics Statistics

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Question #1 Report Error

The sample space for tossing three coins is:

A. 8 outcomes

B. 2 outcomes

C. 4 outcomes

D. 6 outcomes

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Correct Answer: Option A

Explanation:
Three independent coins yield 2³ = 8 possible sequences.

This question belongs to: Accountancy and Statistics Statistics

Question #2 Report Error

Direct standardization of death rates requires age-specific death rates for:

A. Neither; crude rates suffice

B. Both study and standard populations

C. The study population only

D. The standard population only

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Correct Answer: Option C

Explanation:
Direct standardization uses the study population's age-specific death rates applied to the standard population's age structure; thus, only the study population's age-specific rates are needed.

This question belongs to: Accountancy and Statistics Statistics