There are 20 identical looking packets of white powder. 8 of them contain cocaine and 12 do not. Four of the packets are randomly selected. Let X equal the number of the selected packets which contain cocaine. a. How many possible ways are there to select the 4 out of 20 packets (order does not matter) without replacement? b. What is the probability that X = 0 c. What is the probability that X=4?

There are two boxes. Box A contains 6 red balls, and 4 blue balls andBox B contains 4 red balls and 8 blue balls. A die is rolled, if the number is lessthan 3, a ball is selected from box A. If the result is 3 or more, a ball is selectedfrom Box B. Calculate:a. The probability that the ball will be red and selected from Box B.b. The probability that the ball will be blue.

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can you find  two tailed test p value for given data  sample size 14 test statistics -2.23

Please answer the question with details on how to do it. Thank you.  4. A single ball is drawn at random from a box containing 12 orange balls, 10 black balls, and 8 blue balls.         a.) Determine the probability that it is blue.   b.) Three balls are drawn successively. Find the probability that they are drawn in the order orange, black,                    and blue if the ball is not replaced.

Match Column A with the correct Probability in Column B. Write only the letter of your answer on the space provided on Column B's right side. Column A Column B Answers 1. Find the Probability of rolling a fair die having a composite number. A. 0.08 B. 0.30 2. When you roll a fair dice, what is the probability of having multiples of three? 3. Determine the probability of drawing a red card from a deck of cards. C. 0.33 4. What is the probability of drawing a "6" card from a deck of cards? D. 0.50 5. A bag contains 6 red sweets and 14 blue sweets. A sweet is taken at random from the bag. What is the probability that it is a red sweet?

I. A card/s is/are taken from a deck of 52 cards that has been thoroughly shuffled. Find the probability of: A. "4' of hearts B. a king or a red card C. a non-face card D. an ace and a queen E. neither a spade nor a jack

There are 5 black, 3 white, and 4 yellow balls in a box (THE SAME BOX as seen in the previous question). Four balls are randomly selected without replacement. Let Y be the number of yellow balls selected. Find P[Y =2]. 5 3 в w О а. About 21% O b. About 25% С. About 34%. d. About 9.3% e. About 13%

You see a game at a local fair. You have to throw a dart at a color wheel. Each section on the color wheel is equal in area. # 3 e d C Let B = the event of landing on blue. Let R = the event of landing on red. Let G = the event of landing on green. Let Y = the event of landing on yellow. a. C If you land on b. If you land on red, you don't $ 4 r f V % Y, Y, you get you get the biggest prize. Find P(Y). 5 t 8 b 6 Oll y get a prize. What is P(R)? h & 7 n J j * 8 3 ( 9 k O L 0 alt р { ctrl [ + ? 2 backs ] 1

Q10. Given that the switchboard of a consultant's office receives on average 0.8 calls per minute, find the probability that in a 5-minute interval there will be exactly 4 calls, and in the following 4- minute interval, there will be exactly 1 call. (Consider the entire 9 minute interval to calculate your answer.)