Question 1 :
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Refer to the above image. An insurance company selected 2000 drivers at random (i.e., without any preference of one driver over another) in a particular city to find a relationship between age and accidents. The data obtained are given in the above image. Find the probabillity of the event for a driver chosen at random from the city being 18-29 years of age and having exactly 3 accidents in one year.
Question 2 :
Two coins are tossed simultaneously 500 times, and we get Two heads: 105 times, One head: 275 times, No head: 120 times. Find the probability of the event of getting two heads.
Question 3 :
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Refer to the above image. An insurance company selected 2000 drivers at random (i.e., without any preference of one driver over another) in a particular city to find a relationship between age and accidents. The data obtained are given in the above image. Find the probabilities of the event for a driver chosen at random from the city being 30-50 years of age and having one or more accidents in a year.
Question 4 :
The record of a weather station shows that out of the past 250 consecutive days, its weather forecasts were correct 175 times. What is the probability that on a given day it was correct?
Question 5 :
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Refer to the above image. What is the empirical probability that an engineer lives within $\frac{1}{2}$ km from her place of work?
Question 6 :
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Refer to the above image. Fifty seeds were selected at random from each of 5 bags of seeds, and were kept under standardised conditions favourable to germination. After 20 days, the number of seeds which had germinated in each collection were counted and recorded in the above image. What is the probability of germination of 49 seeds in a bag?
Question 7 :
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Refer to the above image. A tyre manufacturing company kept a record of the distance covered before a tyre needed to be replaced. The above image shows the results of 1000 cases. If you buy a tyre of this company, what is the probability that it will need to be replaced after it has covered somewhere between 4000 km and 14000 km?
Question 8 :
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From the above image the data is recorded of 1500 families with 2 children that were selected randomly. Compute the probability of a family, chosen at random, having 1 girl.
Question 9 :
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Refer to the above image. A die is thrown 1000 times with the frequencies for the outcomes 1, 2, 3,4, 5 and 6 as given in the above image. Find the probabilty of getting outcome 6.
Question 10 :
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Refer to the above image. A die is thrown 1000 times with the frequencies for the outcomes 1, 2, 3,4, 5 and 6 as given in the above image. Find the probabilty of getting outcome 3