2022 A Qgestion 4: The notation of binomial distribution is: x ~ Btn, p). The mean is p up and the standard deviation is a = Jnip.q. The PDF is Pb!) = anXp'xq"'x. There are ten multiple-choice questions {A/B/C/D) in an Exam. ' =.- - - . i . . _.._ , Answer the following questions: a.What are the values of n, p, and q? b.What are the mean and the standard deviation? c.What is the probability of getting exactly five correct answers? d.What is the probability of getting exactly five incorrect answers? e.What is the probability of getting at least 9 correct answers? f.What is the probability of getting all correct answers? Qgestion 5: The monthly incomes of recent MBA graduates in a large corporation are Normally distributed with a mean of $4,200 and a standard deviation of $500. Z STUFF} (H'Hilll'. / {I a. What is the Z value for an income X of 55,000? b. What is the probability for an income X of at least $5,000? FALL 2022 c. What is the 2 value for an income X of 53,200? d. What is the probability for an income X of at most 33,200? e. What is the probability for an income X between $3,200 and $5,000