(b) The blood pressure reading for people aged 80 years old that are having high blood pressure is normally distributed with an average of 145 mmHg and a standard deviation of 5 mmHg. (1) What is the probability that a person aged 80 years old is having high blood pressure with the blood pressure reading more than 150 mmHg? (ii) What is the blood pressure reading corresponds to the top 20% people aged 80 years old that are having high blood pressure? If a random sample of 16 people aged 80 years old that are having high blood pressure was selected, what is the probability that the sample mean blood pressure reading is between 144.5 mmHg and 145.1 mmHg?

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