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Answer:
Hence, option (3) is correct.
Step-by-step explanation:
The probability that Roger wins a tennis tournament (event A) is 0.45 i.e. P(A)=0.45
The probability that Stephan wins the tournament (event B) is 0.40 i.e. P(B)=0.40
The probability of Roger winning the tournament, given that Stephan wins, is 0 i.e.
The probability of Stephan winning the tournament, given that Roger wins, is 0 i.e.
We know that
⇒ P(A∩B)=0
But if A and B are independent events then P(A∩B)=P(A)×P(B)
Hence, P(A|B)=P(A)
Similarly
Hence, if A and B are independent events then,
P(B|A)=P(B)
But in this situation such a thing is not possible.
Hence, option (3) is correct.
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Answer:
(b)
Step-by-step explanation:
1 male named Bart (b)
3 females named Charlene(c), Diana(d), and Erin(e).
Since there is replacement, the possible samples are:
bb, bc, be, bd, cb, cc, cd, ce, db, dc, dd, de, eb, ec, ed, and ee.
Total Number of pairs = 16
Event of picking 2 males:bb
Event of 1 male:bc,cb,bd,db,be,eb
Event of picking 0 males:
cc, cd, ce, dc, dd, de, ec, ed, and ee.
b. The mean of the sampling distribution
c. No; the proportion of males is while the mean is
.
B. No, the sample mean is not equal to the population proportion of males. These values are not always equal, because proportion is an unbiased estimator.