AP EAMCET · Maths · Probability
A radar system can detect an enemy plane in one out of ten consecutive scans. The probability that it can detect an enemy plane atleast twice in four consecutive scans is
- A \(0.0422\)
- B \(0.0523\)
- C \(0.0535\)
- D \(0.0623\)
Answer & Solution
Correct Answer
(B) \(0.0523\)
Step-by-step Solution
Detailed explanation
\(P(\text{detect}) = p = 0.1\) \(P(\text{not detect}) = q = 1 - p = 0.9\) \(n = 4\) \(P(X \ge 2) = 1 - [P(X=0) + P(X=1)]\) \(P(X=0) = \binom{4}{0} (0.1)^0 (0.9)^4 = 1 \cdot 1 \cdot 0.6561 = 0.6561\)…
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