A jar contains 5 red, 7 blue, and 8 green marbles. If two marbles are drawn one after another without replacement, what is the probability that both are red?

A die is rolled twice. What is the probability that the first roll is an even number and the second roll is a multiple of 3?

The heights of adult women in a population are normally distributed with a mean of 160 cm and a standard deviation of 5 cm. What is the probability that a randomly selected woman has a height greater than 165 cm?

A coin is flipped 3 times. What is the probability of getting at least one head in the three flips?

A factory produces light bulbs, and the probability that a bulb is defective is 0.02. If 10 bulbs are selected at random, what is the probability that exactly 2 bulbs are defective?

A random variable X takes the values 0, 1, 2, and 3 with the following probabilities:P(X = 0) = 0.1, P(X = 1) = 0.2, P(X = 2) = 0.3, P(X = 3) = 0.4.What is the expected value (mean) of the random variable X?

In a deck of 52 cards, 12 are face cards (Jack, Queen, King). If a card is drawn at random, what is the probability that it is a face card given that it is a spade?

canvas.pdx.e Proctor nts In 1991, a person was working as an engineer at a paper company when they were laid off in round 2 of several rounds of layoffs by the company. This person sued the company for age discrimination. The engineer claimed that the laid off workers were older than others. The age of randomly selected 10 workers who were laid off and not lay off in round 2 are given below. Test the engineer's claim at 5% level of significance. Note that the data for two samples are in different column. Click this button to reveal the data urces ources No Yes 25 55 33 55 35 64 38 48 55 56 Download CSV file Download the .csv file or copy/paste the data into Excel. After downloading.csv file, you may want to save it as a Excel Workbook. a. What is the response variable that is being compared in this study? Select an answer b. How many samples of data are being compared in this study? c. Are the samples random and independent? O Yes O No O Uknown e here to search d. What test is used for…

The average test score of a class is 80 with a standard deviation of 10.Find the z-score for a student who scored 90 on the test and interpret the result.