The probability that the value of p(x) is greater than 315 is 0.063754
<h3>How to determine the probability that the value of p(x) is greater than 315?</h3>
From the question, the given parameters about the distribution are
- Mean value of the set of data = 283
- Standard deviation value of the set of data = 21
- The actual data value = 315
The z-score of the data value is calculated using the following formula
z = (x - mean value)/standard deviation
Substitute the given parameters in the above equation
z = (315 - 283)/21
Evaluate the difference of 315 and 283
z = 32/21
Evaluate the quotient of 32 and 21
z = 1.524
The probability that the value of p(x) is greater than 315 is then calculated as:
P(x > 315) = P(z > 1.524)
From the z table of probabilities, we have;
P(x > 315) = 0.063754
Hence, the probability that the value of p(x) is greater than 315 is 0.063754
Read more about probability at:
brainly.com/question/25870256
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