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The lifespan of 400 neon lamps is provided in the following table:

A bulb is selected at random.

What is the probability that the lifetime of the selected bulb is between 300 to 800 hours?

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2140

1940

3940

2940

answer is D.

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Detailed Solution

Given a table about the lifespan of 400 bulbs.
Question Image

We have to find the probability that the lifetime of the selected bulb is between 300 to 800 hours.
The probability of an event A is given by,

P (A) = Number of favourable outcomes T o t a l number of outcomes

The total number of lamps, n(S) = 400.
Let

B

be the event of getting a lamp lifetime is between

300 − 800

hours, then

n (B) = 14 + 56 + 60 + 86 + 74 ⇒ n (B) = 290

The probability that the lifetime of the selected bulb is between 300 to 800 hours is

P (B) = n (B) n (S) ⇒ P (B) = 290400 ⇒ P (B) = 2940

Thus, the probability of getting the lifetime of lamp between

300 − 800

hours is

2940

.
Hence, option 4 is the correct option.

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