Question

a research agency conducted a survey of 2,300 families, asking them how many children they had. the following table lists the frequency distribution of the data collected. what is the probability that a family chosen from this group at random will have 1 child? a. 0.34 b. 0.91 c. 0.29 d. 0.09 e. 0.38

Explanation:

Step1: Recall the formula for probability

The formula for probability \(P(E)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\).

Step2: Identify the number of favorable outcomes and total number of outcomes

The number of families with 1 child (favorable outcomes) is \(n = 667\). The total number of families (total outcomes) is \(N=2300\).

Step3: Calculate the probability

Substitute the values into the formula: \(P=\frac{667}{2300}\).

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Answer:

C. 0.29