Need Answer with steps

A publishing company is looking to hire a new typesetter to speed up their publication process. The typing speeds of the pool of applicants are known to follow a normal distribution with a mean of 80 words/minute and a standard deviation of13 words/minute. The publishing company is looking for typesetters with typing speeds between T0 words/minute and 120 words/minute, as they found that to maximise output with minimum errors. a) What is the probability that a randomly selected applicant types at a speed faster than 90 words/minute? b) Determine the 95th percentile value for typing speed. c) What is the probability that a randomly selected applicant will not meet the typing speed requirements of the company? d) The applicants who fall among the top T96 of the accepted speed bracket are more likely to be called for an interview than the rest. Therefore, what is the minimum typing speed an applicant should achieve if they wish to increase their chances of being hired as a typesetter