## obtain the point estimate and 95% credible interval for μ.

Suppose that we are interested in the proportion of population affected by diabetes among Pima Indian women. Let us represent the diabetes status of each person by random variable X, where X=1 if the person has diabetes and X=0 if the person does not. Then we can assume that X has a Bernoulli distribution with parameter μ. We know that the population proportion of diabetic women in the whole US is about 10%. We want to use this information to specify our prior for μ. Use R-Commander to find a beta distribution that has relatively high probability density values around 0.1. For this, plot different beta distribution by changing the parameters until you find a distribution for which the area under the probability density curve is large over the interval from 0.05 to 0.15. Then use the Pima.tr data (available from the MASS package) to find the posterior probability distribution of μ. Use the posterior probability distribution to obtain the point estimate and 95% credible interval for μ.

### Determine the outlet concentration x1 in the water solution and in the trichloroethane solution using an analytical equation.

Predicting Extraction for an Existing Tower with a Given Number of Steps. An existing tower contains 5.0 theoretical steps. It is desired to predict its performance under the following conditions….

### Calculate the minimum solvent that can be used. [Hint: In this case, the tie line through the feed L0 represents the condition for minimum solvent flow rate.

Minimum Solvent and Countercurrent Extraction of Acetone. An aqueous feed solution of 1000 kg/h containing 23.5 wt % acetone and 76.5 wt % water is being extracted in a countercurrent….

### Determine the break-point time, the fraction of total capacity used up to the break point, the length of the unused bed, and the saturation loading capacity of the solid.

Drying of Nitrogen and Scale-Up of a Column. Using molecular sieves, water vapor was removed from nitrogen gas in a packed bed (C1) at 28.3°C. The column height was 0.268….