Question

again, compute the probability of 2 head
coming up
& An organisation selected 2400 families at random and surveyed them to determine
relationship between income level and the number of vehicles in a family. The information gathered is listed in the table below​

Answer 1

Question :-

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 chosen is

• earning ₹ 10000-13000 per month and owning exactly 2 vehicles.
• earning ₹16000 or more per month and owning exactly 1 vehicle.
• earning less than ₹ 7000 per month and does not own any vehicle.
• earning ₹13000-16000 per month and owning more than 2 vehicles.
• owning not more than 1 vehicle.

Solution :-

Here, total number of families = 2400

(i) ∵ Number of families earning Rs. 10000 – Rs. 13000 per month and owning exactly 2 vehicles

= 29

∴ Probability of a family earning Rs. 10000 – Rs. 13000 per month and owning exactly 2 vehicles

= $\dfrac{29}{2400}$

__________

ii) ∵ Number of families earning Rs. 16000 or more per month and owning exactly 1 vehicle

= 579

∴ Probability of a family earning Rs. 16000 or more per month and owning exactly 1 vehicle

= $\dfrac{579}{2400}$

__________

iii) ∵ Number of families earning less than Rs. 7000 per month and do not own any vehicle

= 10

∴ Probability of a family earning less than Rs. 7000 per month and does not own any vehicle

= $\dfrac{10}{2400}$

= $\dfrac{1}{240}$

__________

iv) ∵ Number of families earning Rs. 13000 – Rs. 16000 per month and owning more than 2 vehicles

= 25

∴ Probability of a family earning Rs. 13000 – Rs. 16000 per month and owning more than 2 vehicles

= $\dfrac{25}{2400}$

= $\dfrac{1}{96}$

__________

v) ∵ Number of families owning not more than 1 vehicle

= [Number of families having no vehicle] + [Number of families having only 1 vehicle]

= [10 + 1 + 2 + 1] + [160 + 305 + 535 + 469 + 579]

= 14 + 2048

= 2062

∴ Probability of a family owning not more than 1 vehicle

= $\dfrac{2062}{2400}$

= $\dfrac{1031}{1200}$

Answer 2

Question :-

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 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.

Answer :-

Here, total number of families = 2400

(i) ∵ Number of families earning Rs. 10000 – Rs. 13000 per month and owning exactly 2 vehicles = 29

∴ Probability of a family earning Rs. 10000 – Rs. 13000 per month and owning exactly 2 vehicles = 29/2400

(ii) ∵ Number of families earning Rs. 16000 or more per month and owning exactly 1 vehicle = 579

∴ Probability of a family earning Rs. 16000 or more per month and owning exactly 1 vehicle = 579/2400

(iii) ∵ Number of families earning less than Rs. 7000 per month and do not own any vehicle = 10

∴ Probability of a family earning less than Rs. 7000 per month and does not own any vehicle = 10/2400 = 1/240

(iv) ∵ Number of families earning Rs. 13000 – Rs. 16000 per month and owning more than 2 vehicles = 25

∴ Probability of a family earning Rs. 13000 – Rs. 16000 per month and owning more than 2 vehicles = 25/2400 = 1/96

 

(v) ∵ Number of families owning not more than 1 vehicle

= [Number of families having no vehicle] + [Number of families having only 1 vehicle]

= [10 + 1 + 2 + 1] + [160 + 305 + 535 + 469 + 579] = 14 + 2048 = 2062

∴ Probability of a family owning not more than 1 vehicle = 2062/2400 = 1031/1200

Plz mrk as brainliest ❤