HP 33s hp 33s_user's manual_English_E_HDPM20PIE56.pdf - Page 275

6. To calculate Q(X) given X, X D. 7. After the prompt, key in the value of X and press g. The result, Q(X), is displayed. 8. To calculate Q(X) for a new X with the same mean and standard deviation, press g and go to step 7. 9. To calculate X given Q(X), press X I. 10. After the prompt, key in the value of Q(X) and press g. The result, X, is displayed. 11. To calculate X for a new Q(X) with the same mean and standard deviation, press g and go to step 10. Variables Used: D Dummy variable of integration. M Population mean, default value zero. Q Probability corresponding to the upper-tail area. S Population standard deviation, default value of 1. T Variable used temporarily to pass the value S × 2π to the inverse program. X Input value that defines the left side of the upper-tail area. Example 1: Your good friend informs you that your blind date has "3σ" intelligence. You interpret this to mean that this person is more intelligent than the local population except for people more than three standard deviations above the mean. Suppose that you intuit that the local population contains 10,000 possible blind dates. How many people fall into the "3σ" band? Since this problem is stated in terms of standard deviations, use the default value of zero for M and 1 for S. Keys: (In RPN mode) Display: Description: X S g g @ )  Starts the initialization routine. Accepts the default value of zero for M. Accepts the default value of 1 for S. Statistics Programs 16-15