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State the random variable

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1. According to the WHO MONICA Project the mean blood pressure for people in China is 128 mmHg with a standard deviation of 23 mmHg (Kuulasmaa, Hense & Tolonen, 1998). Assume that blood pressure is normally distributed.

a.) State the random variable.

b.) Find the probability that a person in China has blood pressure of 135 mmHg or more.

c.) Find the probability that a person in China has blood pressure of 141 mmHg or less.

d.) Find the probability that a person in China has blood pressure between 120 and 125 mmHg.

e.) Is it unusual for a person in China to have a blood pressure of 135 mmHg? Why or why not?

f.) What blood pressure do 90% of all people in China have less than?

2. Annual rainfalls for Sydney, Australia are given in table #6.4.6. ("Annual maximums of," 2013). Can you assume rainfall is normally distributed?

Table #6.4.6: Annual Rainfall in Sydney, Australia

146.8 383 90.9 178.1 267.5 95.5 156.5 180

90.9 139.7 200.2 171.7 187.2 184.9 70.1 58

84.1 55.6 133.1 271.8 135.9 71.9 99.4 110.6

47.5 97.8 122.7 58.4 154.4 173.7 118.8 88

84.6 171.5 254.3 185.9 137.2 138.9 96.2 85

45.2 74.7 264.9 113.8 133.4 68.1 156.4  

Reference no: EM132372865

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