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

Question

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

Quizplus · Accepted Answer

The Answer of 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

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