1) Find the following probabilities:

a) Pr{Z < - 0.37}

b) Pr{Z 0.37}

c) Pr{1.21 < Z < 1.21}

d) Pr{1.21 < Z < 0.0}

e) {-4.00 < Z < 1.21}

f) Pr{4.00 < Z < 0.0}

g) Pr{Z < 1.47 or Z > 1.47}

(the probability that Z is outside the range 1.47 to 1.47)

h) Pr{1.47 < Z < 1.47}

i) Add (g) and (h). Is this surprising? Why or why not?

2) The average number of red blood cells per cubic mm in humans is about 5 million.

Let = 5,000,000, and = 500,000. Let's also assume that the number of red blood cells follows a normal distribution.

a) Give the values for the number of red blood cells for the middle 75% of people.

b) Give the values for the number of red blood cells for the middle 90% of people.

c) Give the 95th percentile.

d) Are the answers to parts (b) and (c) surprising? Explain.

e) Calculate the 1st percentile.

f)A person has a blood cell count of 3,500,000 per cubic mm. Would there be anything unusual about this person?

Please show all steps thank you very much.