SOA Exam P Sample Question 150
Study guide: Exam P-1
A theme park conducts a study of families that visit the park during a year. The fraction of such families of size m is \frac{8-m}{28}, m = 1, 2, 3, 4, 5, 6, and 7.
For a family of size m that visits the park, the number of members of the family that ride the roller coaster follows a discrete uniform distribution on the set \{1, \dots, m\}.
Calculate the probability that a family visiting the park has exactly six members, given that exactly five members of the family ride the roller coaster.
- A) 0.17
- B) 0.21
- C) 0.24
- D) 0.28
- E) 0.31
Answer this question and see the worked solution