Random variable X possesses a normal distribution with mean 50 and standard deviation 10. Random variable Y possesses a normal distribution with mean 50 and standard deviation 20. Which of the following is​ true?

A company produces 60% of its products in Factory A and 40% in Factory B. Defective rates are 3% for Factory A and 5% for Factory B. If a randomly selected product is defective, what is the probability that it came from Factory B

Suppose that the current measurements in a strip of wire are assumed to follow a normal distribution with mean, μ = 10, and standard deviation, σ = 2 mA, determine the value for which the probability that current measurement is less than this value is 0.95.

A manufacturing company has three factories: A, B, and C. The daily output of each is shown in the table below. Are the events “manufactured in Factory A” and “TVs” independent? Total 24 52 28 104 Product Factory A Factory B Factory C Total Stereos 6 20 13 39 TVs 18 32 15 65

The waiting line at a popular bakery shop can be quite long. Suppose that the waiting time in minutes has probability density function .  Calculate the mean 

Victory, a computer science major, grows tomatoes in her spare time. She keeps a record of the weight of each tomato she grows. What percentage of all her tomatoes will be within three standard deviations of the mean​ weight?

A credit card company monitors cardholder transaction habits to detect any unusual activity. Suppose that the dollar value of unusual activity for a customer in a month follows a normal distribution with mean $250 and variance $400. What is the probability of $304 to $310 in unusual activity in a month?

Which of the following is NOT a property of binomial​ experiments?

On a multiple-choice​ exam, there are four possible answers to each of 40 questions. Each question has only one correct answer. Jane has not studied for the exam and must guess the answer to each question. (You may assume that the guesses are independent of each​ other.) The number of correct guesses that​ Jane can expect to obtain is

A sample space is