Suppose the force acting on a column that helps to support a building is a normally distributed random variable X with mean value 11.0 kips and standard deviation 1.50 kips. Compute the following probabilities by standardizing and then using a standard normal curve table from the Appendix Tables or SALT. (Round your answers to four decimal places.) LA USE SALT (a) F(X = 11) (b) F(X = 12.5) (c) P(X 2 3.5) (d) F(9 s X = 14) (e) F( |X - 11| s 2) Need Help? Read It Watch It Master ItThere are two machines available for cutting corks intended for use in wine bottles. The first produces corks with diameters that are normally distributed with mean 3 cm and standard deviation 0.10 cm. The second machine produces corks with diameters that have a normal distribution with mean 3.04 cm and standard deviation 0.04 cm. Acceptable corks have diameters between 2.9 cm and 3.1 cm. LA USE SALT What is the probability that the first machine produces an acceptable cork? (Round your answer to four decimal places.) What is the probability that the second machine produces an acceptable cork? (Round your answer to four decimal places.) Which machine is more likely to produce an acceptable cork? O the first machine O the second machine You may need to use the appropriate table in the Appendix of Tables to answer this question. Need Help? Read It