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 3% 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 3% of the time is met.

the average price of a home in your community is $200,000 with a standard deviation of $30,240 dollars. A random sample of 81 homes is drawn from the population of homes. What is the probability that the mean price of the 81 homes is no more than $197,500 dollars? Choose the most correct (closest) answer.

The average price of a home in your community is $200,000 with a standard deviation of $30,240. A random sample of 196 homes is drawn from the population of homes. What is the probability that the mean price of the 196 homes is no less than $201,000? Choose the most correct (closest) answer.