sketch the normal distribution and label the indicated areas. then, compute the area under the standard normal

curve.

1. to the left of z=1.54 please show drawing
2. to the right of z=-0.95
3. between z=-2.33 & z=2.33

sketch the normal distribution and label the indicated areas. then, compute the probability using the standard normal distribution.

4. p( z<0.45)

5. P(-1.65 <z< 1.65)

Assume the random variable, x, is normally distributed with u=86 and o=5. Find the indicated probability.

6. P(x<80)

7. P(85 <x< 95)

8. P(x>75)

A survey was conducted to measure the height of US men.  In the survey, respondents were grouped by age.  In the 20-29 age group, the heights were normally distributed, with U=69.2 inches and o=2.9 inches. A study participant is randomly selected.

9. Find the probability that his height is less than 66 inches.

10. Find the probability that his height is more than 72 inches.

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