Exercise $06\mathrm{.}41($Normal Probability Distribution$)$

Question $2$ of $12*$

Check My Work $(3$ remaining$)$

According to the National Association of Colleges and Employers, the $2015$ average starting salary for new college graduates in health sciences was $$51,541.$ The average starting salary for new college graduates in business was $$53,901($National Association of Colleges and Employers website$).$ Assume that starting salaries are normally distributed and that the standard deviation for starting salaries for new college graduates in health sciences is $$11,000.$ Assume that the standard deviation for starting salaries for new college graduates in business is $$15,000.$

a$.$ What is the probability that a new college graduate in business will earn a starting salary of at least $$65,000($to $4$ decimals$)?$

b$.$ What is the probability that a new college graduate in health sciences will earn a starting salary of at least $$65,000($to $4$ decimals$)?$

c$.$ What is the probability that a new college graduate in health sciences will earn a starting salary less than $$40,000($to $4$ decimals$)?$

d$.$ How much would a new college graduate in business have to earn in order to have a starting salary higher than $99\%$ of all starting salaries of new college graduates in the health sciences $($to the nearest whole number$)?$

$s$