ASSESSMENT Solve the following problems. 1. A particular production process is claimed to be 90% effective, that is the material produced can be shaped as desired in a later processing stage with a...

Extracted text: ASSESSMENT Solve the following problems. 1. A particular production process is claimed to be 90% effective, that is the material produced can be shaped as desired in a later processing stage with a probability of 0.9. What is the probability that exactly 15 boxes will be produced in order to obtain the third defective box? 2. Thirteen cards are drawn from a deck of ordinary playing cards. Find the probability of selecting 8 red cards and 5 black cards. 3. The average number of traffic accidents on a certain section of highway is two per week. Assume that the number of accidents follows a Poisson distribution with u= 2. a) Find the probability of no accidents on this section of highway during a 1-week period. b) Find the probability of at most three accidents on this section of highway during a 2-week period 4. An average life span of a light bulb manufactured by the DMR Corporation lasts 300 days with a standard deviation of 50 days. Assuming that bulb life is normally distributed, what is the probability that the light bulb selected will last at most 365 days?