In the 4 × 100 Relay Event,each of Four Runners

Multiple Choice

In the 4 × 100 relay event,each of four runners runs 100 metres.A college team is preparing for a competition.The means and standard deviations of the times (in seconds) of their four runners are shown in the table: $$\begin{array} { c | c | c } \text { Runner } & \text { Mean } & \text { SD } \\\hline 1 & 12.01 & 0.10 \\2 & 12.26 & 0.15 \\3 & 11.93 & 0.10 \\4 & 11.81 & 0.08\end{array}$$ Find the probability that in the competition they will beat their previous best time of 47.501 sec.Assume that the runners' performances are independent and that each runner's time follows a Normal model.

A) 0.036
B) 0.982
C) 0.018
D) 0.989
E) 0.011