II. Construct a probability distribution and draw a histogram for the data of the probability distribution. 1. The probability that a customer of a fast food chain will order 0, 1, or 2 pieces of chicken are 0.20, 0.25, and 0.30 respectively.
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- 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 distributionWarren tosses 5 coins. Let A be the random variables representing the number of tails. Construct the probability distribution and draw the histogram.The distribution for the size of families in one U.S. city is shown below. Size Proportion 2 0.422 3 0.234 4 0.205 5 0.088 6 0.032 7+ 0.019A family is selected at random. Find the probability that the size of the family is at least 3.
- 1. Use this table for the following questions: Female Male TotalShort Hair 20 40 60 Long Hair 30 10 40 Total 50 50 100 a. Complete a total probability table.b. Complete a row probability tablec. Complete a column probability table.d. The probability that a student does not have long hair. _________e. The probability that a student is male or has short hair. ________f. The probability that a student is a female and has long hair. _________g. The probability that a student is male, given that the student has long hair. _________h. The probability that a student has long hair, given that the student is male. _________i. Of all the female students, the probability that a student has short hair. ________j. Of all students with long hair, the probability that a student is female. _________k. The probability that a student is female or has long hair.…6. 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…The chance of having a sister or a brother is equally likely. If you have four siblings, there are sixteen equally likely outcomes possible. Create a Probability Distribution to the outcomes based on the total number of sisters given you have 4 siblings Total Number of Sisters ..Probability .. List your outcomes (Total Number of Sisters) from least to greatest. Represent the probabilities using 4 decimal places
- Discrete Probability Distributions Worksheet 1. You flip four coins. Let X, the random variable, be the number of heads on all four coins. a. List the sample space for the experiment. b. What are the possible values for x? c. Is the random variable, x, continuous or discrete? d. Construct a probability distribution for this experiment. (X) e. Construct a histogram for the probability distribution in the space below. 2. Determine if the following are probability distributions (if no, state why). а. X 6. P(X) 4/9 12 15 3. 6. 1 2 3 4 5 P(X) 3/10 1/10 1/10 2/10 3/10 20 30 40 50 1.1 0.2 0.9 0.3 (X)5. The table shows the distribution of male and female students and left- and right- handed students in the math club. Find the probability that a student selected at random is left-handed. Express your answer as a fraction in simplest form. Left-Handed Right-Handed Male 8. 32 Female 3. 372. 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)
- DIRECTIONS. Solve for the following. Write your answer on separate sheet of paper. 1. Find the mean or expected value of the following probability distribution. 1 2 3 4 P(x) 0.11 0.22 0.33 0.25 0.09K The following data represent the number of drivers involved in a fatal crash in 2016 in various light and weather conditions. Complete parts (a) through (c) below. Click the icon to view the data for fatal crashes in 2016. (a) Among fatal crashes in unknown weather conditions, what is the probability that a randomly selected fatal crash occurs when it is dawn/dusk? The probability that a randomly selected fatal crash in unknown weather conditions occurs when it is dawn/dusk is approximately. (Round to three decimal places as needed.) Data table Weather Daylight Dark, but Lighted 5875 497 51 54 255 Normal Rain Snow/Sleet Other Unknown 14,307 875 219 125 810 (...) Dark 8151 681 156 220 548 Dawn/Dusk Other 1183 87 40 71 65 8 2 9 133 Xconstruct a probability distribution for the data and draw a graph for the distribution. Garage Space The probabilities that a randomly selected home has garage space for 0, 1, 2, or 3 cars are 0.22, 0.33. 0.37, and 0.08, respectively