# Question: In a certain chemical process three bottles of a standard

In a certain chemical process three bottles of a standard fluid are emptied into a larger container. A study of the individual bottles shows that the mean value of the contents is 15 ounces and the standard deviation is 0.08 ounces. If three bottles form a random sample,

(a) Find the expected value and the standard deviation of the volume of liquid emptied into the larger container.

(b) If the content of the individual bottles is normally distributed, what is the probability that the volume of liquid emptied into the larger container will be in excess of 45.2 ounces?

(a) Find the expected value and the standard deviation of the volume of liquid emptied into the larger container.

(b) If the content of the individual bottles is normally distributed, what is the probability that the volume of liquid emptied into the larger container will be in excess of 45.2 ounces?

**View Solution:**## Answer to relevant Questions

Consider the density function of a random variable X defined by (a) Find the CDF corresponding to this density function. (Be sure you describe it completely.) (b) Calculate the mean and variance. (c) What is the probability ...Two machines produce a certain item. The capacity per day of machine 1 is 1 unit and that of machine 2 is 2 units. Let (X1, X2) be the discrete random variable that measures the actual production on each machine per day. ...The random variable X can take on only the values 0, ±1, ±2, and (a) Find the probability distribution of X. (b) Graph the CDF of X. (c) Compute E(X). Suppose that a system consists of two different, but independent, components, arranged into a series system. Further assume that the time to failure for each component has an exponential distribution with parameter θi, I = ...Follow the instructions of Prob. 25.4-1 when using the following network. Note that component 3 flows in both directions. (a) Find all the minimal paths and cuts. (b) Compute the exact system reliability, and evaluate it ...Post your question