b. Assuming that a normal distribution provides an ade- quate approximation to the distribution of x, what are the mean and variance of the approximating normal distribution? c Use Table I of Appendix B or statistical software to find the exact value of P(x 2 9). d. Use the normal approximation to find P(x = 9).

Assume that X is normally distributed with a mean of 10 and a standard deviation of 2. Determine the following: a. P(Z < 13) b. P(Z > 9) c. P(6 < X < 14)

Write the formulae   Given a normal distribution with mean of 12 & standard deviation of 2. What is the P (11 ≤ x ≤ 13)?

For the following values of SSX, SSY, and SP, the Pearson correlation coefficient (r) is ______ and the slope of the regression line (b) is _______.   SSX SSY SP 50 80 50   r = -0.79, b = -1.00 r = 0.79, b = 1.00 r = -1.00, b = -0.79 r = 1.00, b = 0.79

Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1.If P(z>c)=0.0106, find c.

A normal distribution has mean 62.1 and standard deviation 2.42. Find the data value corresponding to the following value of z.   z= -1.33

Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1.If P(−b<z<b)=0.945, find b.b=