1. Suppose X is normally distributed with a mean of 5 and a standard deviation of 0.4. Using the standard score formula, we find P(X X_o) = P(Z 1.3). What is the value of X_o?
2. What will be the value of P(X235) given that a normal distribution has = 241 and d = 2?
3. The average hourly wage of workers at a fast-food restaurant is P338.10/hr. Assume the wages are normally distributed with a standard deviation of P23.41. If a worker at this fast-food restaurant is selected at random, what is the probability that the worker earns more than P351.10?
4. On the day before an exam in an online class, students e-mailed questions to the professor at a rate of 1 every 20 minutes, exponentially distributed. Determine the probability that the interval between succeeding messages is more than an hour.
5. For an exponential distribution, what is the probability that the value of the exponential random variable with parameter = 3.2 will be having a value higher than 0.2353?
6. A normal distribution has a mean of 80 and a standard deviation of 12. What is the probability of selecting a value between 70 and 85?