A company sells pumpkin seeds. They advertise that they will offer you 100 pounds of free topsoil if it takes their pumpkins more than a certain number of days to grow to maturity. They wish to only have to give away free topsoil AT MOST 4% of the time, and the number of days it takes their seeds to grow to maturity follows a normal distribution with a mean of 106 days and a standard deviation of 5 days. They wish to advertise a number in whole days. What number of days will they advertise? CARRY ALL DECIMALS IN YOUR WORK BUT REPORT YOUR FINAL ANSWER AS A WHOLE NUMBER WITH NO DECIMALS. HINT: You must round up to ensure that the company requirement that free topsoil is given away no more than 4% of the time is met.

a.115

b.98

c.97

d.114