1. If we know that the length of time it takes a college student to find a parking spot in the library parking lot follows a normal distributionwith a meanof 3.5 minutes and a standard deviationof 1 minute, find the probabilitythat a randomly selected college student will find a parking spot in the library parking lot in less than 3 minutes.

2. If we know that the length of time it takes a college student to find a parking spot in the library parking lot follows a normal distribution with a mean of 3.5 minutes and a standard deviation of 1 minute, find the point in the distribution in which 75.8% of the college students exceed when trying to find a parking spot in the library parking lot.

3. The standard errorof the mean

a) is never larger than the standard deviation of the population.

b) decreases as the sample size increases.

c) measures the variability of the mean from sample to sample.

d) All of the above.

For 1 and 2 I need detail explanations.

The solution gives the complete steps involved in the calculation probability of the events specified in the question.