At a certain University, the chance of a student receiving financial aid is 87%. 15 students are randomly and independently chosen. Use R/Rcmdr to find the probability that at most 12 of them are receiving financial aid. ROUND YOUR FINAL ANSWER TO 3 DECIMALS. Choose the most correct (closest) answer below?

a.0.6916319

b.0.1204051

c.0.3083681

d.0.1879631

A tire company makes tires that have a normal distribution with a mean of 70000 miles and a standard deviation of 2000 miles prior to needing replacement. Use R/Rcmdr to find the probability that a tire lasts between 66000 to 74000 miles. CARRY ALL DECIMALS IN YOUR WORK BUT ROUND THE FINAL ANSWER TO 3 DECIMALS. Choose the most correct (closest) answer below?

a.0.023

b.0.046

c.0.954

d.0.977

A tire company makes tires that have a normal distribution with a mean of 70000 miles with a standard deviation of 2000 miles prior to needing replacement. A tire that wears out in the bottom 2% of miles lasted before needing replacement is considered very poorly made. Use R/Rcmdr to find the highest number of miles that a tire would have to last to be considered very poorly made. Carry all decimals in your work. Choose the most correct (closest) answer?

a.65,892.5

b.111074.98

c.28925.02

d.74107.5

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. Use R/Rcmdr to find the probability that the mean price of the 81 homes is no more than $199,000 dollars? Choose the most correct (closest) answer?

a.0.617

b.0.487

c.0.513

d.0.383