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80 bulbs are selected at random from a lot and their times (in hours) is recorded in the form of a frequency table given below One bulb is selected at random from the lot. Then find the probability that its life is $1150$ h.

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0

5

4

9

answer is A.

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Detailed Solution

Given that,
Question Image

Total no. of bulbs n(S) = 80.
There are zero bulbs which have 1150 h lifetime. So, n(A) = 0.
Finding the probability that the bulbs lifetime is

1150

h.
Probability of an event A is given by,
P(A) =

\frac{Number of favourable outcomes n (A)}{Total number of outcomes n (S)}

Now, probability that the bulb’s lifetime is

1150 h

is,

P (A) = \frac{n (A)}{n (s)}

\Rightarrow P (A) = \frac{0}{80}

\Rightarrow P (A) = 0

Thus, the probability that the bulb’s lifetime is

1150 h

is equal to

0

.
Hence, option 1 is correct answer.

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