Determine the mean and variance of the random variable with the following probability mass function. f left-parenthesis x right-parenthesis equals left-parenthesis 8divided by 9right-parenthesis left-parenthesis 1 divided by 9right-parenthesis Superscript x Baseline comma x equals Number 0 , 1 , 2 , . . . Hint: Use the formula for the sum of the infinite series where .

The fraction of defective integrated circuits produced in a photolithography process is being studied. a random sample of 300 circuits is tested, revealing 17 defectives. (a) calculate a 95% two-sided confidence interval on the fraction of defective circuits produced by this particular tool. round the answers to 4 decimal places. less-than-or-equal-to p less-than-or-equal-to (b) calculate a 95% upper confidence bound on the fraction of defective circuits. round the answer to 4 decimal places. p less-than-or-equal-to