VERY QUICK AND EASY. DONT NEED TO SHOW WORK Hello please help ASAP! Please TYPE the answer back to me, you can send the screenshots back and write on them.

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1A.

In each situation below, is it reasonable to use a binomial distribution for the random variable X? Give reasons for your answer in each case. (a An auto manufacturer chooses one car from each hour's production for a detailed quality inspection. One variable recorded is the count X of finish defects (dimple, ripples, etc.) in the car's paint. 3 Each observation falls into a "success" or "failure." :I There is a fixed number n of observations. :I The n observations are all independent. 3 The probability of success p is the same for each observation. :| None of the binomial conditions are met. (b) The pool of potential jurors for a murder case contains 100 persons chosen at random from the adult residents of a large city. Each person in the pool is asked whether he or she opposes the death penalty. X is the number who say "Yes." :I Each observation falls into a "success" or "failure." 3 "here is a fixed number n of observations. 3 "he n observations are all independent. :I "he probability of success ,0 is the same for each observation. 3 None of the binomial conditions are met. (c) Joe buys a ticket in his state's "Pick 3" lottery game every week; X is the number of times in a year that he wins a prize. 3 Each observation falls into a "success" or "failure." :I There is a fixed number n of observations. 3 The n observations are all independent. :I The probability of success p is the same for each observation. :| None of the binomial conditions are met. Suppose that James guesses on each question of a 43-item true-false quiz. Find the probability that James passes if each of the following is true. (a) A score of 24 or more correct is needed to pass. E (b) A score of 29 or more correct is needed to pass. S (c) A score of 31 or more correct is needed to pass. E According to a study by the Bureau of Justice Statistics, approximately 2% of the nation's 72 million children had a parent behind bars - nearly 1.4 million minors. Let X be the number of children who had an incarcerated parent. Suppose that 130 children are randomly selected. (a) Does X satisfy the requirements for a binomial setting? Explain. O Each observation falls into a "success" or "failure." O There is a fixed number n of observations. O The n observations are all independent. O The probability of success p is the same for each observation. O None of the binomial conditions are met. If X = B(n, p), what are n and p? n = p = (b) Describe P(X = 0) in words. O the probability that none of the children with incarcerated parents were missed by the study O the probability that there are no children without incarcerated parents O the probability of no incarcerated parents O the probability of none of the children having an incarcerated parent Then find P(X = 0) and P(X = 1). P(X = 0) = P(X = 1) = (c) What is the probability that 2 or more of the 130 children have a parent behind bars