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3. : Expected Values and Binomial Distribution The probability that a planted radish seed germinates is 0.00. A gardener plants nine seeds. Let X denote the number of radish seeds that successfully germinate? What is the variance and standard deviation of X? State your answer in 2 decimal place value A young couple plans to have a family with four children. Assuming that the behaviour of their first child does not cause them to altertheir plans, what is the expected number of girls for their family? A hockey goaltender has a save percentage of 0.920. This means that the probability of any single shot taken on the goaltender being a goal is 0.08. What would be the expected number of goals scored on this goaltender in a game where she faced 35 shots? State your answer in 1 decimal place value A manufacturer of halogen bulbs knows that 3% of the production of their 100 W bulbs will be defective. What is the probability that exactly 5 bulbs in a carton of 144 bulbs will be defective? State your answer in three decimal place value When Stphane plays chess against his favorite computer program. he wins with probability 0.60, loses with probability 0.10. and 30% of the games result is a draw. Assume independence. Find the probability that Stphane's rst win happens when he plays his third game. State your answer in three decimal place value Poor Milhouse is hopelessly in love with Lisa. Unfortunately for Milhouse, Lisa does not feel the same way. However, Milhouse remains hopeful, since on any given day independently there is a 5% chance that Lisa smiles at him. (Assume a month has 30 days for this problem.) What is the probability that Lisa smiles at l'vlilhouse on exactly three days in a month? State your answer in 5 decimal place value The probability of a random customer ordering a vegetarian meal in the Ampala restaurant Is 0.2 Find the mean and variance of the vegetarian meals In a total of :10 orders- Express your answer in whole number The probability of a biased dice landing on 6 is 0.4, Find the mean and variance of the number of "sixes\" in 50 throws. Express your answer in whole number