Can you do problem 5, 6, and 7 please? Thank you!

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Exe x Hor x M Inb( x Get x 1-9k x Fort X Exe X Exe X C O File I /Users/jefyhefy/Desktop/NYU/Homework4_for_Statistics%20(1).pdf NYI Hor Hor Sug x Homework4_for_Statistics (1 ).pdf 1/2 133 05 the probability that he will hit the target on any given shot is 1/2. What is the expected number of times that the target will be hit? If we assume that all shots at the target are independent what is the variance of the number of times that the target will be hit? [2 points] 5. A certain electronic system contains 10 components. Suppose that the probability that each individual component will fail is 0.2 and that the components fail independently of each other. Given that at least one of the components has failed, what is the probability that at least two of the components have failed? [2 points] 6. Suppose that on a given weekend the number of accidents at a certain intersection has the Poisson distribution with mean 0.7. What is the probability that there will be at least three accidents at the intersection during the weekend? [2 points] 7. Suppose that the proportion of colorblind people in a certain population is 0.005. What is the probability that there will not be more than one colorblind person in a randomly chosen group of 600 people? Hint: approximation of Binomial dist. by a Poisson dist. [2 points] 1