A bag contains 16 black marbles, 20 orange marbles, 36 gray marbles and 34 purple marbles. If a marble is selected at random, find the following probabilities, in simplest form: P( orange or purple)

Use the multiplier method to incrases £258 by 43%

Determine the mean and variance of the random variable with the following probability mass function. f(x)=( 729divided by 91) (1 divided by 9) superscript x baseline comma x equals 1,2,3 round your answers to three decimal places (e.g. 98.765).

Thompson and thompson is a steel bolts manufacturing company. their current steel bolts have a mean diameter of 127 millimeters, and a variance of 36. if a random sample of 35 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 0.5 millimeters? round your answer to four decimal places.