Give the complete solution of these. Thank you
10. : Expected values and Binomial distribution ' A packet of carrot seeds has a germination rate of 92%. In other words, the probability of any seed sprouting is 0.92. How many seedlings would you expect in a row of 50 seeds? A packet of vegetable seeds has a germination rate of 96%. What is the probability that exactly 10 of 12 seeds planted will sprout? State your answer in 4 decimal places When Stephane 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 Stephanie's fifth win happens when he plays his eighth game. State your answer in 5 decimal places When Stephane 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 Stephane wins T games, if he plays 10 games. State your answer in 5 decimal places Alex takes a multiple choice quiz in his Anthropology 100 class. The quiz has 10 questions. each has 4 possible answers. only one of which is correct. Alex did not study for the quiz, so he guesses independently on every question. What is the probability that Alex answers exactly 2 questions correctly? Express your answer in 5 decimal place value Poor Milhouse is hopelessly in love with Usa. 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 Milhouse goes longer than a month without a smile from Lisa? Express your answer in 5 decimal place value Poor Milhouse is hopelessly in love with Usa. 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 Milhouse waits no more than two months to see a smile from Usa? Express your answer in 5 decimal place value A Random Variable X can take only two values, 1 and 2: PH) = 0.3 and P(2) = 0.2, Calculate the Expected value of X. Express your answer in 1 decimal place value A Random Variable X can take only two values, 1 and 2 ; P(1) = 0.3 and P(2} = 0.2. Calculate the Variance of X. Express your answer in 2 decimal place 'v'd ue A cubic-l die is biased. The numbers one to ve are equally likely to land face up, but six is twice as likely to land face up as each of the other numbers. If X is the score shown on the uppen'nost face, calculate the expected value of X.state your anwer in mixed fraction
