Refer to Example 6.20 on page 298.

a. Use Table 6.7 to find the probability that the student gets

i. At most five answers correct.

ii. At least six answers correct.

b. Apply Procedure 6.3 to approximate the probabilities in part (a) by areas under a normal curve. Compare your answers.

TABLE 6.7 Probability distribution of the number of correct answers of 10 by the student

Number correct x _______________ Probability P(X = x)

0 ................................................... 0.0010

1 ................................................... 0.0098

2 ................................................... 0.0439

3 ................................................... 0.1172

4 ................................................... 0.2051

5 ................................................... 0.2461

6 ................................................... 0.2051

7 ................................................... 0.1172

8 ................................................... 0.0439

9 ................................................... 0.0098

10 .................................................. 0.0010