find the probability that it will take: i) More than 4 years to complete the program. ii) If only 10% of the individuals completed less than k years, determine the value of k. iii) Find the probability that a random sample of 4 graduates have an average of more than 3.5 years to complete a degree program.

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The average number of years a person takes to complete a graduate degree program is 3. The standard deviation is 4 months. Assume the variable is normally distributed. If an individual enrolls in the program, find the probability that it will take:
i) More than 4 years to complete the program.

ii) If only 10% of the individuals completed less than k years, determine the value of k.

iii) Find the probability that a random sample of 4 graduates have an average of more than 3.5 years to complete a degree program.

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