Question:
A random variable \(X\) has the probability distribution given.
For the events \(E = \{X \text{ is a prime}\}\) and \(F = \{X < 4\}\), then \(P(E \cup F)\) is
A random variable \(X\) has the probability distribution given.
For the events \(E = \{X \text{ is a prime}\}\) and \(F = \{X < 4\}\), then \(P(E \cup F)\) is
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Union of events means include all outcomes appearing in either set.
Updated On: Mar 23, 2026
- 0.50
- 0.77
- 0.35
- 0.87
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The Correct Option is B
Solution and Explanation
\(E = \{2, 3, 5, 7\}, \quad F = \{1, 2, 3\}\)
\(E \cup F = \{1, 2, 3, 5, 7\}\).
\[ P(E \cup F) = 0.15 + 0.23 + 0.12 + 0.20 + 0.07 = 0.77. \]
\(E \cup F = \{1, 2, 3, 5, 7\}\).
\[ P(E \cup F) = 0.15 + 0.23 + 0.12 + 0.20 + 0.07 = 0.77. \]
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