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Explain the normal probability distribution

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Jim's systolic blood pressure is a random variable with a mean of 142 mmHg and a standard deviation of 19 mmHg. For Jim's age group, 140 is the threshold for high blood pressure.

Assume the data given follow the normal probability distribution.

(a) If Jim's systolic blood pressure is taken at a randomly chosen moment, what is the probability that it will be 135 or less? (Round your z-value to 2 decimal places. Use Appendix C-2 to find probabilities. Round your final answer to 4 decimal places.)

(b) If Jim's systolic blood pressure is taken at a randomly chosen moment, what is the probability that it will be 177 or more? (Round your z-value to 2 decimal places. Use Appendix C-2 to find probabilities. Round your final answer to 4 decimal places.)

(c) If Jim's systolic blood pressure is taken at a randomly chosen moment, what is the probability that it will be between 114 and 165? (Round your z-value to 2 decimal places. Use Appendix C-2 to find probabilities. Round your final answer to 4 decimal places.)

Reference no: EM133100549

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