Answer the questions as detailed as possible.

Qalel A rm's manufacturing manager believes that the total sales for next year will follow the normal distribution with a mean of u = $2.5 million and a standard deviation of a' = $300,000. 0). What is the probability that the rm's sales will fall within $150.000 of the mean? (ll). Determine the sale level that has only a 9% chance of being exceeded next year. 920.3): To avoid the accusation of sexism in a college class equally populated by male and female students, the professor ips a fair coin to decide whether to call upon a male or female student to answer a question directed to the class. The professor will call upon a female student if tails occur. Suppose the professor does this 1000 times during the semester. (i). What is the probability that he calls upon a female student at least 530 times? (ii). What is the probability that he calls upon a female student at most 480 times? (iii). What is the probability that he calls upon a female student exactly 510 times