Three coins are tossed. Let Z be the random variable representing the number of heads that occur.
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- Suppose you roll 4 fair standard 8-sided dice, noting the number showing on each die. Let X be the random variable denoting the number of 3's showing. Write all possible numerical values for X. Enter a list of numbers in ascending order, separated by commas.An urn contains 4 white balls and 6 red balls. A second urn contains 7 white balls and 3 red balls. An urn is selected, and a ball is randomly drawn from the selected urn. The probability of selecting the first urn is 0.4. If the ball is white, find the probability that the second urn was selected. (Round your answer to three decimal places.)4. DETAILS MY NOΤES The mean weight of a box of cereal filled by a machine is 18.0 ounces, with a standard deviation of 0.4 ounce. If the weights of all the boxes filled by the machine are normally distributed, what percent of the boxes will weigh the following amounts? (Round your answers to two decimal places.) (a) less than 17.7 ounces % (b) between 17.8 and 18.2 ounces
- The random variable is three times the number of 1's facing on the dice. You roll three colored dice: 2 6| 2 Give the random variable. r.v. =A cookie is selected at random from a basket containing 10 peanut butter cookies, 8 caramel cookies, 12 sugar cookies, and 20 mint cookies. Find the probability that a peanut butter cookie is selected.A bowl contains 24 pieces of fruit, 6 oranges and 18 apples. Two pieces of fruit are randomly selected without replacement. The random variable X = # of apples selected. Determine the probability distribution for the random variable X.
- An urn contains 3 white balls and 7 red balls. A second urn contains 8 white balls and 2 red balls. An urn is selected, and a ball is randomly drawn from the selected urn. The probability of selecting the first urn is 0.8. If the ball is white, find the probability that the second urn was selected. (Round your answer to three decimal places.)A coin is flipped twice. Using “H” to denote heads and “T” to denote tails, write the sample space. What is the probability of getting one head and one tail?An opaque bag contains 3 green marbles and 3 red marbles. Two marbles are randomly drawn one at a time without replacement. (2nd draw red)(1st draw red) 0.20 0.50 0.40 0.60