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 of batteries - 50 - 240 - 550 - 160 - 1000 illhline e n d array 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-

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VII

Mathematics

Experimental/ Empirical Probability

A factory man...

Question

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

$\begin{matrix} Life Time (in months) & Less than 24 & 24 - 36 & 36 - 48 & more than 48 & Total Batteries Number of batteries & 50 & 240 & 550 & 160 & 1000 \end{matrix}$

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]

Open in App

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

Suggest Corrections

Similar questions

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]

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

$\begin{matrix} Life Time (in months) & Less than 24 & 24 - 36 & 36 - 48 & more than 48 & Total Batteries Number of batteries & 50 & 240 & 550 & 160 & 1000 \end{matrix}$

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]

There are 200 packets in a large box and each packet contains 3 electric devices in it. On testing, at the time of packing, it was noted that there are some faulty pieces in the packets. The data is as below

$\begin{matrix} No of faulty devices in a packet & Less than 24 & 24 - 36 & 36 - 48 & more than 48 & Total Batteries Number of batteries & 50 & 240 & 550 & 160 & 1000 \end{matrix}$

(i) If a buyer will only tolerate atthe maximum one faulty piece in a packet, what is the probability that a packet will be rejected?
(ii) Another buyer will only take packets with all the pieces functional. What is the probability that a packet will be rejected? [4 MARKS]

A company manufactures car batteries of a particular type. The lives (in years) of 40 such batteries were recorded as follows:
$\begin{matrix} 2.6 & 3.0 & 3.7 & 3.2 & 2.2 & 4.1 & 3.5 & 4.5 3.5 & 2.3 & 3.2 & 3.4 & 3.8 & 3.2 & 4.6 & 3.7 2.5 & 4.4 & 3.4 & 3.3 & 2.9 & 3.0 & 4.3 & 2.8 3.5 & 3.2 & 3.9 & 3.2 & 3.2 & 3.1 & 3.7 & 3.4 4.6 & 3.8 & 3.2 & 2.6 & 3.5 & 4.2 & 2.9 & 3.6 \end{matrix}$

Construct a grouped frequency distribution table for this data, using class intervals of size 0.5 starting from the intervals 2−2.5. Calculate the number of batteries having a life of 3.5-4.0 years.

Q. A company manufactures car batteries of a particular type. The life (in years) of 40 batteries were recorded as follows:

2.6 3.0 3.7 3.2 2.2 4.1 3.5 4.5

3.5 2.3 3.2 3.4 3.8 3.2 4.6 3.7

2.5 4.4 3.4 3.3 2.9 3.0 4.3 2.8

3.5 3.2 3.9 3.2 3.2 3.1 3.7 3.4

4.6 3.8 3.2 2.6 3.5 4.2 2.9 3.6

Construct a grouped frequency distribution table with exclusive classes for this data, using class intervals of size

0.5

starting from the interval

2 - 2.5

Join BYJU'S Learning Program