a) Identify the random variable X and list the elements of the random variable X in a set notation. b) Construct the probability distribution. c) Is this a fair game? Why or why not? show your work.
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- A 40%B 50%C 60%D 70%In an experiment, college students were given either four quarters or a $1 bill and they could either keep the money or spend it on gum. The results are summarized in the table. Complete parts (a) through (c) below. Students Given Four Quarters Students Given a $1 Bill Purchased Gum Kept the Money 15 30 25 17 a. Find the probability of randomly selecting a student who spent the money, given that the student was given four quarters. The probability is (Round to three decimal places as needed.) b. Find the probability of randomly selecting a student who kept the money, given that the student was given four quarters. The probability is. (Round to three decimal places as needed.)An antique Roman coin is biased towards tails due to a heavy decoration stamped on the back. The unfair coin is flipped twice. The tree diagram below shows the probabilities of the different outcomes. 1 6 6 H T 1 1 6 H T H T Use the diagram to find the probability of getting one head and one tail (in either order). • Provide the final answer as a fraction. Provide your answer below:
- Predict whether the given scenario/computation shown below is certain, likely, even chance, unlikely, or impossible to occur. Use the provided probability scale to plot the given items. There should be THREE ANSWERS each number Note: The probability, the term (certain, likely, etc.) and the probability scale. 1. In rolling two dice, what is the probability of landing same numbers? 2. A jar contains 12 marbles: 4 red, 5 blue, and 3 orange. If you pull 3 marbles without replacement, what is the probability of getting all three colors in the order of blue, orange, red? What is the probability of getting all orange? 3. Find the probability of getting 53 Sunday in a leap year. 4. A lot of 24 bulbs contains 25% defective bulbs. A bulb is drawn at random from the lot. It is found to be not defective and it is not put back. Now, one bulb is drawn at random from the rest. What is the probability that this bulb is not defective?Pls answer itInstructions/Directions: Determine the values of the random variable in each of the following situations. Construct the probability distribution for the random variable. Use a tree diagram to list all the possible outcomes. 1. Natalie is ordering a milk tea she should have a small, medium, or large milk tea. She has a choice of Wintermelon, Okinawa or Salted Caramel. How many different choices of milk tea can she have? Make a tree diagram to show all the possible outcomes.
- An urn contains 2 red balls and 6 white balls. A sample of 2 balls is slected at random and the number of red balls observed. Determine the probability distribution for this experiment and draw its histogram. The probability to draw zero red balls is to draw one red ball is View an example Get more help - and to draw two red balls is MacBook Air (Simplify your answers.) Clear all Check answerA charity organization hosts a raffle drawing at a fund raising event. The organization sells 2500 tickets at a price of $8 each. Winning tickets are randomly selected, with 30 prizes of $100, 10 prizes of $500, and 1 grand prize of $8000. Suppose you buy one ticket. Let the random variable X represent your net gain from playing the game once ( net gain should include the cost of the ticket).In an experiment, college students were given either four quarters or a $1 bill and they could either keep the money or spend it on gum. The results are summarized in the table. Complete parts (a) through (c) below. Purchased Gum Kept the Money Students Given Four Quarters 27 15 Students Given a $1 BilI 11 33 a. Find the probability of randomly selecting a student who spent the money, given that the student was given four quarters. The probability is (Round to three decimal places as needed.)
- Homework Assume that we want to find the probability that when five consumers are randomly selected, exactly two of them are comfortable with delivery by drones. Also assume that 45% of consumers are comfortable with the drones (based on a Pitney Bowes survey). Identify the values of п, х, р, and q.Don't Hand writing in solution.Roll two dice and observe the numbers coming up. Define two events by: A="the sum is six," and B-"the numbers are not equal." Find and compare P(B) and P(BIA).