The time taken to complete a bicycle race is normally distributed, with an average time ( μ ) of 2.25 hours and a standard deviation ( σ ) of 0.65 hours. What is the probability that a randomly...

The time taken to complete a bicycle race is normally distributed, with an average time (μ) of 2.25 hours and a standard deviation (σ) of 0.65 hours. What is the probability that a randomly selected cyclist will:

Q.7.3.1

Take between 2.75 and 3.15 hours to complete the race? Interpret your answer.

(5)

Q.7.3.2

Take between 2.05 and 2.15 hours to complete the race? Interpret your answer.