1. The average time it takes for a cellphone to reboot is 3 minutes with a

standard deviation of 10 seconds. The average time it takes a computer to
restart is 5 minutes with a standard deviation of 15 seconds. Both are normally
distributed. Suppose that a cellphone and a computer are rebooted/restarted
at the same time. What is the probability that:
a. The cellphone will reboot for 3 minutes and the computer will restart in 5
minutes?
b. The cellphone will reboot earlier than 2 minutes and 45 seconds and the
computer will restart after 5 minutes and 5 seconds?
c. The cellphone will reboot after 2 minutes and 55 seconds or the
computer will restart before 5 minutes and 10 seconds?
2. Suppose you have two normal distributions. They both have the same standard
deviation, 5. The first normal distribution has a mean of 50, while the second
normal distribution has an unknown mean. The two distributions intersect and
form a certain area under their curves that is common to both. The area of the
“common”/”intersected” area under both curves is 0.5. Determine the possible
values of the mean of the second distribution.