I would like some assistance with some probability distribution questions

The price of Sorrel has a bell-shaped distribution with a mean of $250 and standard deviation of $50. The cheapest 2.5% of prices is expected to be between $0 and Select one: O a. $100 O b. $150 O c. $200 O d. $250The number of students who attend office hours per week is normally distributed with mean 8. Also, 10 students visiting office hours has a standardized value of 1. What is the probability that 10 students visit office hours? Select one: O a.0 O b. 1 O c. 0.8643 O d. 0.1587A micro borrowing institution uses a credit score to evaluate applicants for their loans. The distribution of credit scores Is known to be normal with mean 50 and standard deviation 15. If the Institution only approves unsecured loans to applicants who score in the top 22%, what is the minimum that an applicant must score to get this type of loan? (round your answer to 2 decimal places) Select one: O a. 63.70 O b. 61.55 O G. 65.00 O d. 35.00 O e. 38.45Assuming that X is a normal random variable with mean u and standard deviation o, which of the following is FALSE? Select one: O a. P(X > 8) O b. P(X > 8) O c. 8] O d. P(X