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Statistics and Probability — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsStatistics and Probability1 Mark
MCQ
Write the correct answer in the following: The probability that bulbs selected randomly from the lot has life less than $900$ hours is:
  • A
    $\frac{11}{40}$
  • B
    $\frac{5}{16}$
  • C
    $\frac{7}{16}$
  • ✓
    $\frac{9}{16}$
✓

Answer

Correct option: D.
$\frac{9}{16}$
Total number of bulbs in a lot, $n(S) = 80$
Number of bulbs whose life time is less than $900h, n(E) = 10 + 12 + 23 = 45$
Probability that bulbs has life time less than $900h$ $=\frac{\text{n(E)}}{\text{n(S)}}=\frac{45}{80}=\frac{9}{16}$
Hence, the probability that bulb has life time less than $900$ is $\frac{9}{16}$

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