Week 6 Chapter 6: The Normal Distribution

For this week read Chapter 6

Answer the following question:

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Question 1

Given a normal distribution with =20 and = 4, what is the probability that

a.X>24

b.X<24

c.X<24 or x>24

INSTRUCTIONS: Show all your work as to how you have reached your answer. Please don't simply state the results. Show graphs where necessary.

Question 2

Given a normal distribution with =50 and =4, what is the probability that

a.5% of the values are less than what X values?

b.Between what two X values (symmetrically distributed around the mean) are 95 % of the values?

INSTRUCTIONS: Show all your work as to how you have reached your answer. Please don't simply state the results. Show graphs where necessary.