1. High School Dropouts Approximately 11.5% of American high school students drop out of school before graduation. Assume the variable is binomial. Choose 20 students entering high school at random. Find these probabilities. Round intermediate calculations and final answers to three decimal places.

(a) No more than two drop out

(b) All 19stay in school and graduate

(c) At least ----- graduate

Part 1 of 3

(a) No more than three drop out

P (no more than three drop out) =

2. Belief in UFOsA survey found that 10% of people believe that they have seen a UFO. Choose a sample of 15 people at random. Find the probability of the following. Round intermediate calculations and final answers to at least three decimal places.

Part 1 of 3

(a) At least 2 people believe that they have seen a UFO

Pat least 2 people believe that they have seen a UFO

(b) 3 or 4 believe that they have seen a UFO

(c) Exactly 4 people believe that they have seen a UFO

3.Find the area under the standard normal distribution curve between z =0 and=z1.47. Use a graphing calculator and round the answer to four decimal places.

The area between the two z values is

4. Find the area under the standard normal distribution curve between =z0 and =z1.39. Use a graphing calculator and round the answer to four decimal places.

The area between the two z values is

5. Find the area under the standard normal distribution curve to the right of =z2.28. Use a TI-83 Plus/TI-84 Plus calculator and round the answer to at least four decimal places.

The area to the right of the z value is

6. Find the area under the standard normal distribution curve to the left of z= -1.58. Use a TI-83 Plus/TI-84 Plus calculator and round the answer to at least four decimal places.

The area to the left of the z value is.

7. Find the area under the standard normal distribution curve between z =1.87 and z =2.33. Use a TI-83 Plus/TI-84 Plus calculator and round the answer to at least four decimal places.

The area between the z values is

8. Find the area under the standard normal distribution curve between z =2.97 and z = 3.03. Use a TI-83 Plus/TI-84 Plus calculator and round the answer to at least four decimal places.

The area between the two z values is

9. Find the area under the standard normal distribution curve between z = 2.75 and z = 0.76. Use a TI-83 Plus/TI-84 Plus calculator and round the answer to at least four decimal places.

The area between the two z values is

10. Find the area under the standard normal distribution curve to the left of =z0.93 . Use a TI-83 Plus/TI-84 Plus calculator and round the answer to at least four decimal places.

The area to the left of the z value is .

11. 11. Find the area under the standard normal distribution curve to the right of=z3.45. Use a TI-83 Plus/TI-84 Plus calculator and round the answer to at least four decimal places.

The area to the right of thez value is.

12. Find the area under the standard normal distribution curve to the left of =z1.46 and to the right of =z2.15. Use a graphing calculator and round the answer to four decimal places.

The area is .

13. Find the probability using the normal distribution. Use a TI-83 Plus/TI-84 Plus calculator and round the answer to at least four decimal places.

P (z < 2.72) =

14. Find the z value that corresponds to the given area in the figure below. Use a graphing calculator and round the answer to four decimal places.

z = 0.4175 0 = ----

Z =

15. Find the z value that corresponds to the given area in the figure below. Use a graphing calculator and round the answer to four decimal places.

z 0.0256 0 = ----

z=

16. Find the z value that corresponds to the given area in the figure below. Use a graphing calculator and round the answer to four decimal places.

z = ---

0 = 0.9989

z =

17. Find the z value to the left of the mean so that 76.52% of the area under the distribution curve lies to the right of it. Use a TI-83 Plus/TI-84 Plus calculator and round the answer to at least four decimal places.

z =

18. Find the z value to the left of the mean so that 76.52% of the area under the distribution curve lies to the right of it. Use a TI-83 Plus/TI-84 Plus calculator and round the answer to at least four decimal places.

z =