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Answer :
Final answer:
The probability that a random individual's systolic blood pressure falls below 157 mmHg is approximately 94.74%.
Explanation:
The probability that a random individual's systolic blood pressure falls below 157 mmHg can be determined by finding the corresponding area under the standard normal distribution curve for the given z-score of 1.62.
To find this probability, we can look up the z-score of 1.62 in a standard normal distribution table or use a calculator to find the area under the curve to the left of the z-score.
Using either method, we find that the area to the left of a z-score of 1.62 is approximately 0.9474
Therefore, the probability that a random individual's systolic blood pressure falls below 157 mmHg is approximately 0.9474 or 94.74%.
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