3. An unknown distribution has a mean of 45 and a standard deviation of 8. Samples of size 35 are drawn randomly from the population. Find the probability that the sample mean is between 42 and 50. 4. The length of time, in hours, it takes an "over 40" group of people to play one soccer match is normally distributed with a mean of two hours and a standard deviation of 0.5 hours. A sample of size 50 is drawn randomly from the population. Find the probability that the sample mean is less than 1.8 hours