Q13 of 24 Page 97

The table below shows the status of twenty residents in an apartment


If one of the residents is chosen at random, find the probability that the chosen resident


will be (i) a female (ii) a college student (iii) a female student (iv) a male employee

(i) Total female residents = 4 + 8 = 12


Total male residents = 5 + 3 = 8


Total Residents = 12 + 8 = 20




(ii) Total College Students = 5 + 4 = 9


Total Employees = 8 + 3 = 11


Total Residents = 9 + 11 = 20



(iii) Total Female student = 4


Total Residents = 20




(iv) Total male employees = 3


Total Residents = 20



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11

On a busy road in a city the number of persons sitting in the cars passing by were observed during a particular interval of time. Data of 60 such cars is given in the following table.


Suppose another car passes by after this time interval. Find the probability that it has


(i) only 2 persons sitting in it (ii) less than 3 persons in it


(iii) more than 2 persons in it (iv) at least 4 persons in it

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Marks obtained by Insuvai in Mathematics in ten unit tests are listed below.


Based on this data find the probability that in a unit test Insuvai get


(i) more than 95% (ii) less than 95% (iii) more than 98%

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The following table shows the results of a survey of thousand customers who bought a new or used cars of a certain model


If a customer is selected at random, what is the probability that the customer


(i) bought a new car (ii) was satisfied (iii) bought an used car but not satisfied

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A randomly selected sample of 1,000 individuals were asked whether they were planning to buy a new cellphone in the next 12 months. A year later the same persons were interviewed again to find out whether they actually bought a new cellphone. The response of both interviews is given below


If a person was selected at random, what is the probability that he/she


(i) had a plan to buy (ii) had a plan to buy but a non-buyer


(iii) had no plan to buy but a buyer.