Question 5 (i)
An organization selected 2400 families at random and surveyed them to determine a relationship between income level and the number of vehicles in a family. The information gathered is listed in the table below:
$\begin{matrix} Monthly income(in Rs) & Vehicles per family 0 & 1 & 2 & Above 2 Less than 7000 & 10 & 160 & 25 & 0 7000 - 10000 & 0 & 305 & 27 & 2 10000 - 13000 & 1 & 535 & 29 & 1 13000 - 16000 & 2 & 469 & 59 & 25 16000 or more & 1 & 579 & 82 & 88 \end{matrix}$
Suppose a family is chosen, find the probability that the family chosen is
(i) earning Rs10000 −13000 per month and owning exactly 2vehicles.

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Solution

Number of total families surveyed = 2400
(i) Number of families earning Rs 10000−13000 per month and owning exactly 2 vehicles = 29
Hence, required probability, $P = \frac{29}{2400}$

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Question 5 (v)
An organization selected 2400 families at random and surveyed them to determine a relationship between income level and the number of vehicles in a family. The information gathered is listed in the table below:
$\begin{matrix} Monthly income(in Rs) & Vehicles per family 0 & 1 & 2 & Above 2 Less than 7000 & 10 & 160 & 25 & 0 7000 - 10000 & 0 & 305 & 27 & 2 10000 - 13000 & 1 & 535 & 29 & 1 13000 - 16000 & 2 & 469 & 59 & 25 16000 or more & 1 & 579 & 82 & 88 \end{matrix}$
Suppose a family is chosen, find the probability that the family chosen is
(v) owning not more than 1 vehicle.

An organisation selected 2400 families at random and surveyed them to determine a relationship between income level and the number of vehicles in a family. The information gathered is listed in the table below:

Suppose a family is chosen. Find the probability that the family has chosen is

(i) earning ₹10000 – 13000 per month and owning exactly 2 vehicles.

(ii) earning ₹16000 or more per month and owning exactly 1 vehicle.

(iii) earning less than ₹7000 per month and does not own any vehicle.

(iv) earning ₹13000 – 16000 per month and owning more than 2 vehicles.

(v) owning not more than 1 vehicle.

Q. Question 5 (iv)
An organization selected 2400 families at random and surveyed them to determine a relationship between income level and the number of vehicles in a family. The information gathered is listed in the table below:

\begin{matrix} M o n t h l y i n c o m e (i n R s) & V e h i c l e s p e r f a m i l y 0 & 1 & 2 & A b o v e 2 L e s s t h a n 7000 & 10 & 160 & 25 & 0 7000 - 10000 & 0 & 305 & 27 & 2 10000 - 13000 & 1 & 535 & 29 & 1 13000 - 16000 & 2 & 469 & 59 & 25 16000 o r m o r e & 1 & 579 & 82 & 88 \end{matrix}

Suppose a family is chosen, find the probability that the family chosen is
(iv) earning Rs 13000-16000 per month and owning more than 2 vehicles.

Question 5 (iii)
An organization selected 2400 families at random and surveyed them to determine a relationship between income level and the number of vehicles in a family. The information gathered is listed in the table below:
$\begin{matrix} Monthly income(in Rs) & Vehicles per family 0 & 1 & 2 & A b o v e 2 Less than 7000 & 10 & 160 & 25 & 0 7000 - 10000 & 0 & 305 & 27 & 2 10000 - 13000 & 1 & 535 & 29 & 1 13000 - 16000 & 2 & 469 & 59 & 25 16000 or more & 1 & 579 & 82 & 88 \end{matrix}$
Suppose a family is chosen, find the probability that the family chosen is
(iii) earning less than Rs7000 per month and does not own any vehicle.

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Calculating Probability of an Event

Standard VIII Mathematics

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Number of total families surveyed = 2400 (i) Number of families earning Rs 10000−13000 per month and owning exactly 2 vehicles = 29 Hence, required probability, P=292400

Number of total families surveyed = 2400
(i) Number of families earning Rs 10000−13000 per month and owning exactly 2 vehicles = 29
Hence, required probability, $P = \frac{29}{2400}$