# Hindustan Metro Company manufactures car batteries of a particular type

Hindustan Metro Company manufactures car batteries of a particular type. The life of 32 batteries (in years) were recorded as follows

(i)|Find the chance that the life of a battery randomly selected is less than or equal to 3 yr.
(ii)|If the company gives the warranty of a battery which is less than or equal to 4 yr, then what is the chances, that the selected battery is under warranty?
(iii)As per the given data, if the company gives warranty of less than or equal to 2 yr, then Sumit decided to purchase the battery. What his decision shows? [VBQ]

Here, total number of batteries = 32
∴ Total number of trials = 32
(i) Let E be the event of getting the battery whose life is less than or equal to 3 yr.
∴ Number of trials in which event E happened=7
Now,

Hence, required chance is 0.219.
(ii) Let E be the event of getting the battery whose life is less than or equal to 4 yr.
Number of trials in which event F happened = 27
Now,

Hence, the required chance is 0.844.
(iii) As the given data shows that life of each battery is from 2.7 to 4.6 yr. So, he takes a good decision. His decision shows intelligency.