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It is estimated that medical treatment will cure about 87% of all people who suffer a certain eye disorder. Suppose a large hospital treats 57 people with this eye disorder. Let x be a random variable that represents the number of people that will recover. The hospital wants to find a probability distribution for X. Note that this experiment is a binomial experiment. a. [1+1=2 points] List the n, p, and q values. Find up and nq values. b. [1+2=3 points] Explain why we can apply the normal distribution to approximate the binomial distribution. Also, find the mean and standard deviation to the approximate normal distribution. - : Do not round the decimal of mu and si ma. Ex uress them as ou _et from our calculator. c. [3 points] Find the probability that 47 or less people recover. d. [4 points] Find the probability that between 47 and 55 people recover