Choose the letter of the correct answer. 1. What is assigned probabilities to the values of a random variable? a. random variable b. probability distribution c. probability histogram d. experiment
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- 25. A couple has three children and X is the number of boys. a. List the elements in the sample space (outcomes). b. List the values for X for each of the outcomes. c. Find the probability distribution for X. P(X = x)What is the significance of the mean of a probability distribution? Choose the correct answer below. O A. It represents the most likely possible outcome. B. It is the expected value of a discrete random variable. OC. It can never be negative. OD. It gives information about how the outcomes vary.Construct a probability distribution curve for the experiment and random variable. a. EXPERIMENT: Randomply picking 3 children in an orphanage with equal number of boys and girls to join a family. (B = boy ; G = girl) b. RV: Y which represents the number of girl to be picked.
- IV. Solve the problem. (don't forget to attached the solution) The Xiaomi brand releases three cellphones that are tested at random. a. Construct the probability distribution of the random variable X (number of defective cellphones). Let G represent non-defective cellphones and, Let F be the defective cellphones. b. Create a histogram representing the distributionWhat do you call the set of all possible outcomes in an experiment? a. Event b. Random Variables c. Sample Space6. Create a probability distribution for a coin flipping game. That is, tossa coin at least 25 times and keep up with the number of heads and the number of tails. a. Compile your data into a probability distribution. Be sure to show that your distribution meets the properties for a probability distribution. b. Use a bar graph to graph the distribution. c. Explain the random variables for your data. d. Did the values come out as you would expect? Explain what you would expect to happen with the outcome of the game versus the actual expected value of your distribution. 7. Use your example from question 6 to set up a binomial distribution. Find the probability based on your data that if the coin is flipped 25 times, what is the probability that a heads would appear 10 times or less. 8. The following information has been given that shows the highest level of education received by employees of a company. Ph.D. Master's Bachelor's Associate # Employees 8 21 33 18 High School Diploma 7 Other…
- 2. The probability model of the number of dinners that a typical American cook in a week is as follows. Number of dinners: 1 3 4 6. 7. Probability: 0.05 0.05 0.1 0.15 0.15 0.2 ? 0.2 Complete the probability table (find the missing probability)Roll a Diea. Suppose you roll a single die and count the number of dots on top. List the sample space ofall possible outcomes.b. Assign probability to the outcomes of the sample space from part (a). Do the probabilitiesadd up to 1? Should they add up to 1? Explainc. What is the probability of getting a number less than 5 on a single throw?d. What is the probability of getting 5 or 6 on a single throw?6. A lightbulb will work until failure. Being a cheap Chinese import the lightbulb has a 0.001 chance of failure each time you turn on the lightbulb. We can think of failure when you turn on the lights as a Geometric Distribution A. What is a "success" for this Geometric Distribution? B. Find the probability of "success" or p for this Geometric Distribution. C. Find the probability of "not success" or q