AP EAMCET · Maths · Probability
A radar system can detect an enemy plane in one out of 10 consecutive scans. The probability that it cannot detect an enemy plane at least two times in four consecutive scans, is
- A \(0.9477\)
- B \(0.9523\)
- C \(0.9037\)
- D \(0.9063\)
Answer & Solution
Correct Answer
(A) \(0.9477\)
Step-by-step Solution
Detailed explanation
\(\begin{gathered} X_i= \begin{cases}1 ; & \text { if target is detected } \\ 0 ; & \text { if target is not detected }\end{cases} \\ p(x)= \begin{cases}0.1 & ; \\ 0.9=1 & x=0\end{cases} \end{gathered}\) Now, each \(\mathrm{X}_{\mathrm{i}}\) is independent trial with \(p=0.1\)…
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