The durations taken for male participants to finish a marathon can be represented by a normal distribution with a mean of 196 minutes and a standard deviation of 24 minutes.
It is observed that 5% of the male participants finish the marathon in less than minutes.
The durations taken for female participants to finish the marathon can be represented by a normal distribution with a mean of 210 minutes. It is observed that 58% of female participants finish the marathon between 185 and 235 minutes.
Find the probability that a participant selected at random will finish the marathon in less than 3 hours.
- This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure. P(T < 180) = 0.252 (M1)A1 [2 marks]
Calculate .
(M1) A1 [2 marks]
Find the standard deviation of the durations taken by female participants.
(M1)
or equivalent (M1)(A1)
A1
[4 marks]