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It is necessary to have an estimate of the proportion of families in the town which own cars. Since the number of families which do own a car is given, it is necessary to know the total number of families in the town. Without the total number of families, it is not possible to estimate the car-owning proportion and therefore impossible to make any estimate about the answer.


If, for example, if there were only 65 families this would imply that every family owned a car and, therefore, the probability of exactly 5 out of 7 random families owning a car would be 0. If there were 67 families, the probability would be approx 0.17 while if there were 270 or more families, the probability is zero.

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Q: When a survey indicated that 65 of the family in a town own cars. find the probability that among 7 families selected at random in the town exactly 5 of them own cars?
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