The following table gives the life time of 400 neon lamps:Life time (i

1.	The following table gives the life time of 400 neon lamps:Life time (in hrs.)300-400400-500500-600600-700700-800800-900900-1000No. of lamps14566086746248A bulb is selected at random. Find the probability that the life time of the selected bulb is:(i) Less than 400(ii) Between 300 to 800 hours(iii) At least 700 hours.
Answer» Given, (i) Probability that the life time of the selected bulb is less than 400 \(=\frac{favourable\,outcome}{total\,outcome}=\frac{14}{400}=\frac{7}{200}\) (ii) Probability that the life time of the selected bulb is between 300 – 800 hours \(=\frac{favourable\,outcome}{total\,outcome}=\frac{14+56+60+86+74}{400}\) \(=\frac{290}{400}=\frac{29}{40}\) (iii) Probability that the life time of the selected bulb is at least 700 hours \(=\frac{favourable\,outcome}{total\,outcome}=\frac{74+62+48}{400}=\frac{184}{400}=\frac{23}{50}\)

The following table gives the life time of 400 neon lamps:Life time (in hrs.)300-400400-500500-600600-700700-800800-900900-1000No. of lamps14566086746248A bulb is selected at random. Find the probability that the life time of the selected bulb is:(i) Less than 400(ii) Between 300 to 800 hours(iii) At least 700 hours.

Answer»

Given,

(i) Probability that the life time of the selected bulb is less than 400 \(=\frac{favourable\,outcome}{total\,outcome}=\frac{14}{400}=\frac{7}{200}\)

(ii) Probability that the life time of the selected bulb is between 300 – 800 hours \(=\frac{favourable\,outcome}{total\,outcome}=\frac{14+56+60+86+74}{400}\) \(=\frac{290}{400}=\frac{29}{40}\)

(iii) Probability that the life time of the selected bulb is at least 700 hours \(=\frac{favourable\,outcome}{total\,outcome}=\frac{74+62+48}{400}=\frac{184}{400}=\frac{23}{50}\)

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