Let x denote the time it takes to run a road race. suppose x is approximately normally distributed with a mean of 190 minutes and a standard deviation of 21 minutes. if one runner is selected at random, what is the probability that this runner will complete this road race in less than 188 minutes?

0.53983.

Step-by-step explanation:

We have been given that  x is approximately normally distributed with a mean of 190 minutes and a standard deviation of 21 minutes.

First of all, we will find z-score of random sample score 188 using z-score formula.

, where,

z = Z-score,

x = Random sample score,

= Mean,

= Standard deviation.

Now, we will use normal distribution table to find the probability that this runner will complete this road race in less than 188 minutes as:

Therefore, the probability that one runner will complete the road race in less than 188 minutes is 0.53983.

step-by-step explanation:

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