The juror pool for an upcoming trial contains 100,000 individuals in the population who may be called for jury duty. The proportion of the available jurors on the population list who are Hispanic is 0.330.33. A jury of size 1212 is selected at random from the population list of available jurors. Let Xequals=the number of Hispanics selected to be jurors for this jury. a. Explain why this scenario would seem to satisfy the three conditions needed to use the binomial distribution. Choose the correct answer below. A. They are satisfied because 1) the data are binary (Hispanic or not), 2) the probability of success is always 0.330.33 and 3) the trials are independent (the first selection does not affect the next; nless than<10% of population size).This is the correct answer. B. They are satisfied because 1) the data are binary (picked or not), 2) the probability of success is always 0.330.33 and 3) the trials are independent (the first selection does not affect the next; nless than<10% of population size).Your answer is not correct. C. They are satisfied because 1) the data are binary (Hispanic or not), 2) the probability of success is always 0.670.67 and 3) the trials are independent (the first selection does not affect the next; nless than<10% of population size). Identify n and p for the binomial. nequals=nothing pequals=nothing b. Find the probability that no Hispanic is selected. P(0)equals=nothing (Round to four decimal places as needed.) c. If no Hispanic is selected out of a sample of size 1212, does this cast doubt on whether the sampling was truly random? Explain. A. Yes, because the chance that this would occur if the selection were done randomly is fairly high. B. Yes, because the chance that this would occur if the selection were done randomly is very low. C. No, because the chance that this would occur if the selection were done randomly is very low. D. No, because the chance that this would occur if the selection were done randomly is fairly high