Q11 of 32 Page 25

Given below is the frequency distribution table regarding the concentration of sulphur dioxide in the air in parts per million of a certain city for 30 days.





















Conc. Of SO2



0.00-0.04



0.04-0.08



0.08-0.12



0.12-0.16



0.16-0.20



0.20-0.24



No. of days



4



8



9



2



4



3



Find the probability of concentration of sulphur dioxide in the interval 0.12-0.16 on any of these days.

Given,


The frequency distribution table regarding the concentration of sulphur dioxide in the air in parts per million of a certain city for 30 days


Total number of days = 30


Probability of concentration of SO2 in the interval 0.12 – 0.16 is


=


More from this chapter

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9

Eleven bags of wheat flour, each marked 5 kg, actually contained the following weights of flour (in kg):
















4.97



5.05



5.08



5.03



5.00



5.06



5.08



4.98



5.04



5.07



5.00



Find the probability that any of these bags chosen at random contains more than 5 kg of flour.

10

Following table shows the birth month of 40 students of class IX.


Jan.


Feb.


March


April


May


June


July


Aug.


Sep.


Oct.


Nov.


Dec.


3


4


2


2


5


1


2


6


3


4


4


4

Find the probability that a student was born in August.

12

A company selected 2400 families at random and survey them to determine a relationship between income level and the number of vehicles in a home. The information gathered is listed in the table below :





















Monthly income (in Rs.)



Vehicles per family




0



1



2



Above 2



Less than 7000


7000-10000


10000-13000


13000-16000


16000 or more



10


0


1


2


1



160


305


535


469


579



25


27


29


29


82



0


2


1


25


88



If a family is chosen find the probability that the family is:


(i) earning Rs. 10,000 – 13,000 per month and owning exactly 2 vehicles.


(ii) earning Rs. 16,000 or more per month and owning exactly 1 vehicles.


(iii) earning less than Rs. 7,000 per month and does not own any vehicles.


(iv) earning Rs. 13,000 – 16,000 per month and owning more than 2 vehicles.


(v) owning not more than 1 vehicle.


(vi)owning at least one vehicle.

13

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























Life time


(in hrs.)



300-400



400-500



500-600



600-700



700-800



800-900



900-1000



No. of lamps



14



56



60



86



74



62



48



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.