(6 points) A box contains 58 light bulbs of which 12 are defective and 46 are not. A Quality Control Inspector randomly samples 9 bulbs without replacement. Part A - Calculate the following probabilities. Express the probabilities in a fraction or round it to 5 decimal places. (1) All of the light bulbs are not defective in the sample. (2) At most 4 light bulbs are defective in the sample. (3) At least 3 light bulbs are defective in the sample. Part B Let X be the number of light bulbs that are defective in the sample. (1) Calculate the expected value of X. (2) Calculate the standard deviation of X