10. A food microbiologist places samples of milk in prepared test tubes. If the liquid turns purple after six days, that means the milk contains an undesirable bacteria. The scientist knows that there is a 10 percent chance that any particular sample of milk will cause the liquid to turn purple. She prepares 40 test tubes this way with independent milk samples. a) [2 points] Let X denote the number of tubes with liquid that turn purple. What is the distribution of X ? Name the family and specify all parameters. Answer: b) [2 points] \"That is the value of E(X), the number of tubes that she should expect to turn purple? Answer: c) [3 points] She is going to save the liquid from the tubes that turn purple. Each will be poured into its own bottle. Her advisor tells her that she needs to bring enough bottles for the expected number of purple tubes, plus one stande deviation, rounded up to the next largest whole number. How many bottles should she bring