The following table gives the lifetimes of $500$ CFL lamps.
Life time (months) $9$ $10$ $11$ $12$ $13$ $14$ more than $14$
Number of Lamps $26$ $71$ $82$ $102$ $89$ $77$ $53$
A bulb is selected at random. Find the probability that the life time of the selected bulb is less than $12$ months

\frac{179}{500}

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\frac{79}{500}

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\frac{19}{500}

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None of these

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Solution

The correct option is A $\frac{179}{500}$
$P$ (lifetime less than $12$ months) $= \frac{(9 + 10 + 11)}{T o t a l}$

$= \frac{26 + 71 + 82}{500} = \frac{179}{500}$

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Similar questions

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

$\begin{matrix} Life time (in hours) & 300 - 400 & 400 - 500 & 500 - 600 & 600 - 700 & 700 - 800 & 800 - 900 & 900 - 1000 Number of lamps & 14 & 56 & 60 & 86 & 74 & 62 & 48 \end{matrix}$

A 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.

Q. The following table gives the life time of 400 neon lamps:

Life time (in hours)	300-400	400-500	500-600	600-700	700-800	800-900	900-1000
Number of lamps:	14	56	60	86	74	62	48

A bulb is selected of random, Find the probability that the the life time of the selected bulb is:
(i) less than 400
(ii) between 300 to 800 hours
(iii) at least 700 hours.

$80$ bulbs are selected at random from a lot and their lifetime in hours is recorded as under.

$\begin{matrix} Lifetime (in hours) & 300 & 500 & 700 & 900 & 1100 Frequency & 10 & 12 & 23 & 25 & 10 \end{matrix}$

One bulb is selected at random from the lot. What is the probability that the selected bulb has a life more than $500$ hours?

a) $\frac{27}{40}$

b) $\frac{29}{40}$

c) $\frac{51}{6}$

d) $1$

Q. Fill In The Blanks

80 bulbs are selected at random from a lot and their life time (in hrs) is recorded in the form of following frequency table:

Life time (in hrs): 300 500 700 900 1000
Frequency : 10 12 23 25 10

One bulb is selected at random from the lot. The probability that its life is 1150 hours is __________.

80 bulbs are selected at random from a lot and their life time ( in hours) is recorded in the form of a frequency table given below:

$\begin{matrix} L i f e t i m e (i n h o u r s) & 300 & 500 & 700 & 900 & 1100 F r e q u e n c y & 10 & 12 & 23 & 25 & 10 \end{matrix}$

One bulb is selected at random from the lot. The probability that its life is 1150 h, is:

A) $\frac{1}{80}$
B) $\frac{7}{16}$
C) 0
D) 1

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Life time (months)	$9$	$10$	$11$	$12$	$13$	$14$	more than $14$
Number of Lamps	$26$	$71$	$82$	$102$	$89$	$77$	$53$

The following table gives the lifetimes of 500 CFL lamps.Life time (months)91011121314more than 14Number of Lamps267182102897753A bulb is selected at random. Find the probability that the life time of the selected bulb is less than 12 months

The correct option is A 179500P (lifetime less than 12 months) =(9+10+11)Total =26+71+82500=179500

The following table gives the lifetimes of $500$ CFL lamps.
Life time (months) $9$ $10$ $11$ $12$ $13$ $14$ more than $14$
Number of Lamps $26$ $71$ $82$ $102$ $89$ $77$ $53$
A bulb is selected at random. Find the probability that the life time of the selected bulb is less than $12$ months

The correct option is A $\frac{179}{500}$
$P$ (lifetime less than $12$ months) $= \frac{(9 + 10 + 11)}{T o t a l}$

$= \frac{26 + 71 + 82}{500} = \frac{179}{500}$