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Introduction To Mathematical Modelling

Question
CBSEENMA9004019

A tyre manufacturing company kept a record of the distance covered before a tyre needed to be replaced. The table shows the results of 1000 cases.  [CBSE 2012 (March)]

Table

Distance (in km)

less than 400

400 to 900

900 to 1400

more than 1400

Frequency

210

325

385

80

If you buy a tyre of this company, what is the probability that:

(i) it will need to be replaced before it has covered 400 km?
(ii)  it will last more than 900 km?
(iii)  it will need to be replaced after it has covered somewhere between 400 km andb 1400 km?
(iv)  it will not need to be replaced at all?
(v)  it will need to be replaced?

Solution

Solution not  provided.
Ans.  (00.21 (ii) 0.465 (iii) 0.71 (iv) 0 (v) 1