The binomial random variable represents the random number of successes in a specified number of independent “access/failure” trials. A.True B. False C. None of the above
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The binomial random variable represents the random number of successes in a specified number of independent “access/failure” trials.
A.True
B. False
C. None of the above
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- A survey asks 1400 workers, "Has the economy forced you to reduce the amount of vacation you plan to take this year?" Fifty-six percent of those surveyed say they are reducing the amount of vacation. Twenty workers participating in the survey are randomly selected. The random variable represents the number of workers who are reducing the amount of vacation. Decid whether the experiment is a binomial experiment. If it is, identify a success, specify the values of n, p. and q, and list the possible values of the random variable x. Is the experiment a binomial experiment? O No YesA trading company uses six computers to trade on the New York Stock Exchange (NYSE). The probability of a computer failing in a day is 0.005, and the computers fail independently. Computers are repaired in the evening, and each day is an independent trial. What is the probability that all six computers are operational in a day? Let X be a negative binomial random variable. O a. 0.9607 O b. NONE O C. 1.56 x 10-14 O d. 0.9704Which of the following is not a discrete random variable? A.The number of heads when we toss two coins. B.The number of accidents per week. C.Amount of cooking oil sold in a departmental store in a day. D.All of the choices.
- The Food Marketing Institute shows that 17% of households spend more than $100 per week on groceries. Assume the population proportion is p = .17 and a simple random sample of 800 households will be selected from the population. What is the random variable in this narrative?We play a card game where we receive 13 cards at the beginning out of a deck of 52. We play 50 games in one evening. For each of the following random variables identify the name and the parameters of the distribution. a. The number of aces I get in the first game. b. The number of games in which I receive at least one ace during the evening. c. The number of games in which all my cards are from the same suit.A. Free Throw Shot - A player is awarded free throws whenever the player is fouled in a shooting motion. A free throw is counted as one point if the ball went in the basket and zero if it misses. Based on Piel's stats in his previous games, he makes 60% of his free throws. To improve, he shots 5 free throws every day in practice. Suppose the random variable, X, is the number of times Piel makes a basket in 5 free throw attempts. This illustrates a random experiment following a distribution with number of trials, n, equal to and probability of making a basket, p, equal to Accordingly, below is the probability distribution table for the number of baskets made in his practice, X. X P[X = x] 0 1 2 0.0102 0.0768 0.2304 3 0.3456 In his practice, the probability that he can get 2 to 4 points is the chance that he will make a perfect score is 4 0.2592 5 While
- Refer to the sample data for pre-employment drug screening shown below. If one of the subjects is randomly selected, what is the probability that the test result is a false positive? Who would suffer from a false positive result? Why? Pre-Employment Drug Screening Results Positive test result Negative test result Drug Use Is Indicated Drug Use Is Not Indicated Subject Uses Drugs 37 12 Subject Is Not a Drug User 19 32 The probability of a false positive test result is nothing. (Round to three decimal places as needed.)The proportion of brown M&M's in a milk chocolate packet is approximately 14%. Suppose a package of M&M's typically contains 57 M&M's. a) State the random variable. b) List the given numbers with correct symbols. = 57 = 0.14 c) Explain why this is a binomial experiment. Check all that apply. There are more than two outcomes for each M&M There are a fixed number of M&Ms, 57 Whether or not one randomly selected M&M is brown will not affect whether or not another randomly selected M&M is brown There is not a fixed number of M&Ms There are only two outcomes for each M&M p = 14% remains constant from one randomly selected M&M to another Whether or not one randomly selected M&M is brown will affect whether or not another randomly selected M&M is brown Find the probability, to 4 decimal places: It is possible when rounded that a probability is 0.0000 d) exactly none are brown. e) exactly 54 are brown. f) at least…QUESTION 3 A wholesaler must decide how many computers to purchase before they know how many they will be able to sell to local retailers. The wholesaler purchases the computers for S300 each and sells them to retailers for $350 each. If the wholesaler is not able to sell them to a retailer then the wholesaler can return them to the manufacturer (for a refund of the S300 cost), but the wholesaler must pay $40 per computer that it returns to the manufacturer (in shipping, handling, and insurance costs). The following probability distribution describes the number of computers the wholesaler may possibly sell to local retailers: there is a 21% chance that they will sell 900 computers, a 56% chance that they will sell 1200 computers; otherwise, they will sell 1500 computers. What is the expected number of computers the wholesaler will sell? (please round your answer to 1 decimal place)
- B. random sample D. None of the above 4. Which of the following is an example of a discrete random variable? A. weight of a new born baby B. body temperature of COVID-19 patients C. number of heads that will out if you toss a coin twice D. height of volleyball players 5. Shiela decided to conduct survey of families with four children. She is interested in counting the number of boy in each family. Is this a random variable? A. Yes, it is a random variable. В. Маybe C. No, it I not a random variable D. Cannot be determined 6. A box has red marbles, 3 black marbles and 5 blue marbles. A marble is picked at random. what is the total number of possible outcomes? А. 2 7. Cardo decided to order a pizza but he needs to choose the type of crust and the toppings. If there are only 6 possible combinations of ordering a pizza, from which of the following should you choose? В. 3 С. 5 D. 10 A. Crust: thin or deep dish ; Toppings: cheese, bacon, sausage, pepperoni or hotdogThree students scheduled interviews for summer employment at the Tiket.com. In each case the interview results in either an offer for a position or no offer. Experimental outcomes are defined in terms of the results of the three interviews.a. List the experimental outcomes.b. Define a random variable that represents the number of offers made. Is the random variable continuous?c. Show the value of the random variable for each of the experimental outcomesA test of 100 motor is done to determine the defective motors. The probability that a motor is defective is 0.02. The motors defects are independent random variable. The probability that exactly two motors are defective given that the number of defective motors is two or fewer is: Select one: a. 0.3127 b. 0.5846 c. 0.5364 d. 0.404 e. 0.4773
