The length of country and western songs is normally distributed and has a mean of 170 seconds and a standard deviation of 40 seconds. find the probability that a random selection of 16 songs will have mean length of 158.30 seconds or less. assume the distribution of the lengths of the songs is normal.

0.1210

Step-by-step explanation:

Given : The length of country and western songs is normally distributed with

Sample size :

Let x be the length of randomly selected country song.

z-score :

The probability that a random selection of 16 songs will have mean length of 158.30 seconds or less by using the standard normal distribution table will be

=

Hence, the probability that a random selection of 16 songs will have mean length of 158.30 seconds or less is 0.1210

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there are infinitely many solutions.