According to Masterfoods, the company that manufactures M&M's, 12% of peanut M&M's are brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. You randomly select five peanut M&M's from an extra-large bag of the candies. (Round all probabilities below to four decimal places; i.e. your answer should look like 0.1234, not 0.1234444 or 12.34%.) Compute the probability that exactly four of the five M&M's are orange. Compute the probability that three or four of the five M&M's are orange. Compute the probability that at most four of the five M&M's are orange.

Milan

Clue is a board game in which you must deduce three details surrounding a murder. In the original game of Clue, the guilty person can be chosen from 66 people, and there are 66 different possible weapons and 99 possible rooms. At one point in the game, you have narrowed the possibilities down to 33 people, 55 weapons, and 44 rooms. What is the probability of making a random guess of the guilty person, murder weapon, and location from your narrowed-down choices, and the guess being correct? Enter a fraction or round your answer to 44 decimal places, if necessary.

Charlie buys a one-year term home insurance policy for $p, that will pay $200,000 in the event of a major catastrophe and $35,000 in the event of a minor catastrophe. Charlie's home has a 0.2% chance of a major catastrophe and a 0.7% of a minor catastrophe during the one year term.  What did the insurance company charge Charlie for this policy if the company expected to break even?

If you rolled a pair of dice, what is the probability that the first would be a 2 and the second would be a 4? If you rolled a pair of dice, what is the probability that you would get a 2 and a 4?

June is a student taking a statistics course. Unfortunately, June is not a diligent student.  She does not read the textbook before or after class, does not do homework, and regularly misses class.  She intends to rely on luck to pass the next quiz.  The quiz consists of 10 multiple-choice question.  Each question has five possible answers.  Only one of the answers is correct, so the probability of choosing the correct answer is 0.20.  June plans to guess the answer to each question independently.  Let �  be the number of correct answers on June’s quiz.   What is the standard deviation of correct answers for June? Group of answer choices 8 2 1.26 1.14 None of These

Suppose an oil company is thinking of buying some land for $10,000,000. There is a 60%60% chance of economic growth and a 40%40% chance of recession. The probability of discovering oil is 44%44% when there is economic growth and 32%32% when there is a recession. If there is economic growth and the oil company discovers oil, the value of the land will triple. If they do not discover oil, the value of the land will decrease by 10%.10%. If there is a recession and the company discovers oil, the value of the land will increase by 50%.50%. If they do not discover oil, the land will decrease in value by 75%.75%. What is the expected value of the investment? Give your answer to the nearest dollar. Avoid rounding within calculations. $$     Select the correct interpretation of the expected value. The expected value represents what the actual investment value will be for this land purchase of $10,000,000. The company should make the investment because the expected value…

Tom has a standard set of pool balls. If he were to draw one ball at random, what is the probability that it will be red or yellow?   Give your answer in its simplest form.

Dystopia county has three bridges. In the next year, the Elder bridge has a 10% chance of collapse, the Younger bridge has a 2% chance of collapse, and the Ancient bridge has a 16% chance of collapse. What is the probability that exactly one of these bridges will collapse in the next year? (Round your final answer to four decimal places. Do not round intermediate calculations.)

the sales manager knows that 10% of his clients do not pay their debts in full. He supposes that he selects a sample of 100 clients. What is the probability that 14% or more will not be fulfilled in their obligations?