If the probability of a student passing an exam is 0.8 and the probability of another student passing is 0.7, and these events are independent, the probability that at least one passes is: MCQ with Answer and Explanation
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Question #1
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From a standard deck of 52 cards, one card is drawn. What is the probability that it is either a King or a Heart?
Correct Answer: Option A
Explanation:
P(K or Heart) = P(K) + P(Heart) - P(King of Hearts) = 4/52 + 13/52 - 1/52 = 16/52.
P(K or Heart) = P(K) + P(Heart) - P(King of Hearts) = 4/52 + 13/52 - 1/52 = 16/52.
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Accountancy and Statistics
Statistics
Question #2
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In attribute theory, if (A)=200, (B)=300, N=1000, and A and B are independent, the expected frequency of (AB) is:
Correct Answer: Option B
Explanation:
Under independence, E(AB) = (A)×(B)/N = 200×300/1000 = 60,000/1000 = 60. This is the product of marginal proportions times total population.
Under independence, E(AB) = (A)×(B)/N = 200×300/1000 = 60,000/1000 = 60. This is the product of marginal proportions times total population.
This question belongs to:
Accountancy and Statistics
Statistics
Question #3
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For perfect positive association between attributes A and B, we expect:
Correct Answer: Option A
Explanation:
Perfect positive association means all A's are B's and all B's are A's, so no A without B and no B without A.
Perfect positive association means all A's are B's and all B's are A's, so no A without B and no B without A.
This question belongs to:
Accountancy and Statistics
Statistics
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