Question 5v 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- array - c-c-c-c-c- Whine Monthly incomein Rs- - -Vehicles per family- IWhlineLess than 7000-108160-25-011-hline 7000 -10000808305-2782111hline 10000-13000-18535-29-1111hline16000 or more-1-579-82-88111hline lendarray Suppose a family is chosen- find the probability that the family chosen isv owning not more than 1 vehicle-

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Standard IX

Mathematics

Experimental/Empirical Probability

Question 5v A...

Question

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:
$\begin{matrix} M o n t h l y i n c o m e (i n R s) & V e h i c l e s p e r f a m i l y 0 & 1 & 2 & A b o v e 2 L e s s t h a n 7000 & 10 & 160 & 25 & 0 7000 - 10000 & 0 & 305 & 27 & 2 10000 - 13000 & 1 & 535 & 29 & 1 13000 - 16000 & 2 & 469 & 59 & 25 16000 o r m o r e & 1 & 579 & 82 & 88 \end{matrix}$
Suppose a family is chosen, find the probability that the family chosen is
(v) owning not more than 1 vehicle.

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Solution

Number of total families surveyed = 2400
(v) Number of families owning not more than 1vehicle =10+160+305+1+535+2+469+1+579 = 2062
Hence, required probability, $P = \frac{2062}{2400} = \frac{1031}{1200}$

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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 (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.

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.

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:

Suppose a family is chosen, find the probability that the family chosen is (i) earning Rs $10000 - 13000$ per month and owning exactly $2$ vehicles.

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

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

(iv) earning Rs $13000 - 16000$ per month and owning more than $2$ vehicles.

(v) owning not more than $1$ vehicle.

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Number of total families surveyed = 2400 (v) Number of families owning not more than 1vehicle =10+160+305+1+535+2+469+1+579 = 2062 Hence, required probability, P=20622400=10311200

Number of total families surveyed = 2400
(v) Number of families owning not more than 1vehicle =10+160+305+1+535+2+469+1+579 = 2062
Hence, required probability, $P = \frac{2062}{2400} = \frac{1031}{1200}$