The amount of paint required to paint a surface with an area of 50 m2 is normally distributed with mean 6 L and standard deviation 0.3 L. a. If 6.2 L of paint are available, what is the probability that the entire surface can be painted? b. How much paint is needed so that the probability is 0.9 that the entire surface can be painted? c. What must the standard deviation be so that the probability is 0.9 that 6.2 L of paint will be suffi- cient to paint the entire surface?

Intro to Stats Chapter 6 The Normal Distribution Normally distributed variable- shape of normal curve Z scores have mean of 0 and standard deviation of 1 The standard version of normally distributed variable x, has the standard normal distribution 6.2 areas under the standard normal curve Basic properties of standard...