A factory manufacturing car batteries made a survey in the field on the life of these batteries- The data obtained was as follows- array - c - c -Number ispace of batteries - 50 - 240 - 550 - 160 - 1000 illhline lendarray What is the probability that a battery chosen at randomi will not last more than 36 months-ii will last for four years- -2 MARKS-

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Question

A factory manufacturing car batteries made a survey in the field on the life of these batteries. The data obtained was as follows:

$\begin{matrix} L i f e T i m e (i n m o n t h s) & L e s s t h a n 24 & 24 - 36 & 36 - 48 & m o r e t h a n 48 & T o t a l B a t t e r i e s N u m b e r o f b a t t e r i e s & 50 & 240 & 550 & 160 & 1000 \end{matrix}$

What is the probability that a battery chosen at random

(i) will not last more than 36 months?

(ii) will last for four years? [2 MARKS]

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Solution

Solution: [1.5 Marks for each section]

Number of batteries that didn’t las for more than 36 months = 50 + 240 = 290
Probability that the battery will not last more than 36 months = 290/1000 = 0.29

Number of batteries that lasted 4 years = 160
Probability that a battery will last 4 years = 160/1000= 0.16

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