You are expected to demonstrate critical thinking and your understanding of the content . Answer the following questions and explainyour answer.(1) Mimi made a random guess at 10 true-or-false questions. Let x be the number of correct answers she got. We know that x follows abinomial distribution. Could you identify n (number of trials), p (probability of success) and q (probability of failure) for thisbinomial distribution? In addition, what is the expected value (μ) and standard deviation (σ), respectively?(2) Based on the normal distribution table, we get P(z -2.2) = 0.9861. What did you observe from these twoprobabilities? Why did this happen?(3) How do you find the 75th percentile of the standard normal distribution ? Please explain your steps.(4) The weekly STAT 200 study times for all STAT 200 students in UMUC are normally distributed with μ = 18 hours and σ = 6 hours. If 36STAT 200 students are randomly selected, find the probability that thier mean study time is greater than 20 hours.(5) Based on the normal distribution table, we get P(z 2.2) = 0.0139. What did you observe from these two probabilities? Why did this happen?