)) A health psychologist was researching the role of choice in food consumption. In one
experiment, the psychologist offered a group of children a choice of either a chocolate chip
cookie or fresh fruit. Earlier results indicate that of children choose the chocolate chip
cookie.
4) If the earlier results are accurate, and the psychologist randomly picks 2 children to
interview after the experiment, what is the mean of the number of children who chose
chocolate chip cookies over fresh fruit?
Write your answer as a decimal.

Question

)) A health psychologist was researching the role of choice in food consumption. In one
experiment, the psychologist offered a group of children a choice of either a chocolate chip
cookie or fresh fruit. Earlier results indicate that

of children choose the chocolate chip
cookie.
4) If the earlier results are accurate, and the psychologist randomly picks 2 children to
interview after the experiment, what is the mean of the number of children who chose
chocolate chip cookies over fresh fruit?
Write your answer as a decimal.

UpStudy AI · Accepted Answer

The mean (expected value) of the number of children who choose chocolate chip cookies can be calculated using the formula for the expectation of a binomial distribution:

$$
\text{Mean} = n \times p
$$

Where:
- $$ n = 2 $$ (the number of children selected)
- $$ p = 0.74 $$ (the probability a child chooses a chocolate chip cookie)

Plugging in the values:

$$
\text{Mean} = 2 \times 0.74 = 1.48
$$

**Answer:**  
1.48
The mean number of children who chose chocolate chip cookies is 1.48.

Upstudy AI Solution

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