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 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.
Answer (i)
Let A be the event that family chosen is earning Rs 10000 – 13000 per month and owning exactly 2 vehicles.
P(A) = (Number of families earning Rs 10000-130000 per month and owning exactly 2 vehicles/ Total number of families)
Answer (ii)
Let B be the event that family chosen is earning Rs 16000 or more per month and owning exactly 1 vehicle.
P(B) = (Number of families earning Rs 16000 or more per month and owning exactly 1 vehicle / Total number of families)
Answer (iii)
Let C be the event that family chosen is earning less than Rs 7000 per month and does not own any vehicle.
P(C) = (Number of families earning less than Rs 7000 per month and does not own any vehicle / Total number of families)
Answer (iv)
Let D be the event that family chosen is earning between Rs 13000-16000 per month and owning more than 2 vehicles.
P(D) = (Number of families earning between Rs 13000-16000 per month and owning more than 2 vehicles / Total number of families)
Answer (v)
Let E be the event that family chosen does not own more than 1 vehicle.
P(E) = (Number of families who does not own more than 1 vehicle / Total number of families)
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