4. Which of the following is an example of a continuous random variable? A. The height of mongo plants in a field measured within 3 months B. The number of siblings of Grade 11 students of DQBSNHS C. The number of voters during the SSG Elections D. Bills inside your wallet
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- 4. A district court judge presides over many court cases each day. Let the random variable X= the number of cases on a randomly selected day in which she declares the defendant guilty. The distribution for the random variable X is given below: # of guilty verdicts 1 2 3 4 Probability 0.05 0.10 0.20 0.25 0.25 0.15 If we selected two days at random, what is the mean and standard deviation of the total number of defendants declared guilty by the judge over those two days? A. µ=3, 0=1.90 B. µ=3, o=1.38 C. µ=6, 0=1.95 D.) µ=6, 0=3.80Q3 A box contains 6 balls. Two are numbered 4, two are numbered 5, and two are numbered 6. The balls are mixed and one is selected at random. After a ball is selected, its number is recorded. Then it is replaced. If the experiment is repeated many times, find the variance (02) and standard deviation (o) of the numbers on the balls.A tube of listerine tartar control toothpaste 4.2 ounces. As people use the toothpaste the amount remaining in any tube is random. Assume the amount of toothpaste remaining in the tube follows a uniform distribution. What is the probability that there is more than 1.5 ounces remaining in the tube?
- One fair coin is tossed 25 times, let X be the number of getting heads out of those 25 tossing experiments. What is the mean and variance of X? 12 and 6.25 12.5 and 6.25 10 and 2.5 12.5 and 2.5Suppose 2 dice are rolled, and suppose the discrete variable x counts the number of 3’s that show up. Plot the probability distribution for x using a bar graph. What is the expected value for the random variable x? What is the variance for the random variable x?Determine whether the value is a discrete random variable, continuous random variable, or not a random variable. a. The time required to download a file from the Internet b. The number of fish caught during a fishing tournament c. The response to the survey question "Did you smoke in the last week?" d. The distance a baseball travels in the air after being hit e. The number of hits to a website in a day f. The time it takes for a light bulb to burn out a. Is the time required to download a file from the Internet a discrete random variable, a continuous random variable, or not a random variable? C O A. It is a continuous random variable. O B. It is a discrete random variable. O C. It is not a random variable. b. Is the number of fish caught during a fishing tournament discrete random variable, a continuous random variable, or not a random variable? O A. It is a continuous random variable. O B. It is a discrete random variable. O C. It is not a random variable c. Is the response to the…
- 5. Which of the following is an example of a discrete random variable? A. The height of mongo plants in a field measured within 3 months B. The number of siblings of Grade 11 students of DQBSNHS C. The weight of newborn babies around the world daily D. Volume of water in tanks among households of San Fernando 6. Which of the following equipment provides a discrete variable? A. Bill Counter B. Stethoscope C. Thermometer D. Voltmeter 7. What is the sum of all the probabilities of a simple event? A.O В. 1 C.2 D. 3 A. 0 8. When a certain event is sure to happen, then what is its probability? A. O В. 1 C.2 D. 3 9. When a certain event will not really happen, then what is its probability? A.O В. 1 C. 2 D. 3 10. What is/are the possible value/s of the random variable X if X is the number of heads in tossing a coin? A. (0) B. (0,1) C. (0,1,2) D. (0,1,2,3) 11. What is/are the possible value/s of the random variable Y if Y is the number of fails in tossing two coins? A. (0) B. (0,1) C. (0,1,2)…Howard is 30% likely to be subjected to the Tax Bureau's audits due to his previous crinimal record. What is the probability that he will not be subjected to the random audit for at least 3 years?a. describe random variable x.b. what distribution does x follow? explainc. what is the probability that he will not be subjected to the random audit for at least 3 years?a. What is the probability of seeing positive change? b. What is the probability of seeing positive change given that the tree is oak? c. Do the data suggest effect and tree type are independent events? yes or no