1. Determine the proportion of the population described in the previous exercise that has a diameter between 55 mm and 95 mm. (μ=75,,σ=8)
2. Determine the following values from the appropriate table:
U (one-sided): probability = 0.10
U (two-sided): probability = 0.20
Z: probability = 0.10
Chi-square: probability = 0.10, degrees of freedom = 20
t distribution, one-sided: probability = 0.05, degrees of freedom = 5
t distribution, two-sided: probability = 0.10, degrees of freedom = 5
F distribution: probability = 0.05, degrees of freedom in numerator =10, degrees of freedom in denominator = 5
3. A complex software system averages 7 errors per 5,000 lines of code. Determine the probability of exactly 2 errors in 5,000 lines of randomly selected lines of code. (Six Sigma Study Guide 2002.)
4. The probability of a salesman making a successful sales call is 0.2 when 8 sales calls are made in a day. Determine the probability of making exactly 3 successful sales calls in a day. Determine the probability of making more than 2 successful sales calls in a day. (Six Sigma Study Guide 2002.)
5. Fifty items are submitted for acceptance. If it is known that there are 4 defective items in the lot, determine the probability of finding exactly 1 defective item in a sample of 5. Determine the probability of finding less than 2 defective items in a sample of 5.