An unemployed worker is looking for job. The distribution of salaries he faces is uniform, from $46,000 to $58,000. Each and every week he searches, he receives job offer with salary drawn from this distribution.
a. Provide the probability density function and the cumulative distribution function of salary offers.
b. Determine the offered in any one week of search.
c. Determine the probability that the first offer he receives will be more than $55,000?
Please show your work and thought process when answering. I award FULL KARMA (A+) to great answers!