A population has a mean of 75 and a standard deviation of 17.4. A sample of 35

items is randomly selected from this population. What is the probability that the

mean of this samples lies between 72 and 79?

2. An electronic company in Laguna manufactures resistors that have a mean

resistance of 120 ohms and a standard deviation of 13 ohms. Find the probability

that a random sample of 40 resistors will have an average resistance greater

than 114 ohms.

3. Suppose that the average outstanding credit card balance for young professionals

is Php11,200 with standard deviation of Php 2,600. In simple random sample of

150 young professionals, what is the probability that the mean outstanding credit

card balance does not exceeds Php12,300​