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- array - c-c-c-c-c- WhineMonthly incomein Rs- - -Vehicles per family- IWhline -0-1-2-Above 211NhineLess than 7000-108160825-0111hline 7000-10000 - 08305 - 27 - 211 hline10000-13000-18535-29-1111hline13000 -16000-2-469-59-25111hline 16000 - or more-1-579-82-8811Nhline lend array Suppose a family is chosen- find the probability that the family chosen isiv earning Rs 13000-16000 per month and owning more than 2 vehicles-

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Standard VII

Mathematics

Chance and Probability

Question 5 iv...

Question

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.

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Solution

Number of total families surveyed = 2400
(iv) Number of families earning Rs 13000−16000 per month and owning more than 2 vehicles =25
Hence, required probability, $P = \frac{25}{2400} = \frac{1}{96}$

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Q. Question 5 (ii)
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
(ii) earning Rs16000 or more per month and owning exactly 1vehicle.

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.

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 (ii)
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:
$\begin{matrix} Monthly income(in ₹) & Vehicles per family 0 & 1 & 2 & Above 2 Less than 7000 & 10 & 160 & 25 & 0 7000 - 10000 & 0 & 305 & 27 & 2 10000 - 13000 & 1 & 535 & 29 & 1 13000 - 16000 & 2 & 469 & 59 & 25 16000 or more & 1 & 579 & 82 & 88 \end{matrix}$
Suppose a family is chosen, find the probability that the family chosen is
(ii) earning ₹16000 or more per month and owning exactly 1vehicle.

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Number of total families surveyed = 2400 (iv) Number of families earning Rs 13000−16000 per month and owning more than 2 vehicles =25 Hence, required probability, P=252400=196

Number of total families surveyed = 2400
(iv) Number of families earning Rs 13000−16000 per month and owning more than 2 vehicles =25
Hence, required probability, $P = \frac{25}{2400} = \frac{1}{96}$