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Probability

Probability

IP 4

The table shows joint probabilities.

\(B\)\(B'\)Total
\(A\)\(x\)\(0.2\)
\(A'\)\(0.3\)\(0.1\)
Total\(1\)

  1. Find \(x\) and complete the marginal totals.

  2. Find \(P(A\mid B)\).

  3. Determine whether \(A\) and \(B\) are independent.

Solution:

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Answer:(a) \(x=0.4\); row totals: \(0.6,\ 0.4\); column totals: \(0.7,\ 0.3\). (b) \(\frac47\). (c) Not independent.

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