Question

In a survey of 20 sophomores at a high school, 8 students said that they would prefer a class field trip to an amusement park, rather than a museum. The sophomore class has 150 students. Predict the number of sophomores who prefer a class trip to an amusement park.

Answer 1

60 sopomores

Explanation:

Let X denote the event prefer amusement park on a field trip

The probability that a sophomore will opt for a class trip to an amusement park would be 8/20 = 2/5 based on survey results

P(X) = 2/5

Based on this probability, if the number of sophomores is 150 then expected number of sophomores who prefer the amusement park trip

E(X) - P(X) x N where N is the total number of sophomores

E(X) = 2/5 x 150 = 60