The probability that the household contains 3 people must be 0.16
The probability of finding 3 people in a household is the same as the probability of finding 4 people.
The probability = Number of favorable outcomes / Total number of outcomes
The probability is the occurrence of the random event. The value of the probability varies from 0 to 1
Therefore if we add all the probability together, the result will be one
Also The probability of finding 3 people in a household is the same as the probability of finding 4 people.
Consider the probability of finding 3 people = Probability of finding 4 people = x
Then the equation will be
0.25 + 0.32 + x + x + 0.07 + 0.03 + 0.01 = 1
Add the terms
0.68 + 2x = 1
2x = 1 - 0.68
2x = 0.32
x = 0.32 / 2
x = 0.16
Hence, the probability that the household contains 3 people must be 0.16
The complete question is:
In government data, a household consists of all occupants of a dwelling unit. choose an American household at random and count the number of people it contains. here is the assignment of probabilities for the outcome. the probability of finding 3 people in a household is the same as the probability of finding 4 people. what is the probability of finding 3 people in the household ?
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