In a fair coin toss, what is the probability of getting exactly 3 heads in 5 tosses?
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Introduction to
Answer the following question about PMFs. Be sure to explicitly state which distribution you are using in each of the following cases.
1. In a fair coin toss, what is the probability of getting exactly 3 heads in 5 tosses?
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- Practice 4. Speeding tickets and car color The table below shows the number of survey subjects who have received and not received a speeding ticket in the last year, and the color of their car. Red car Not red car Total Speeding ticket 15 45 60 Find the probability that a randomly chosen person: (a) has a red car or got a speeding ticket (b) has a red car or did not get a speeding ticket (c) does not have a red car or got a speeding ticket No speeding ticket 135 470 605 Total 150 515 665Instructions Follow these steps: 1. Determine the random variable (what is being measured?) 2. Determine if the table below represents a probability distribution or not. 3. If it is a probability distribution, explain why (see the three criteria in the notes). If it is not a probability distribution, explain why not (which criteria are not met?) Here is the table: x: Number of answers correct on the quiz 0 1 2 3 4 You may use this "sentence frame" to make your post: The random variable is because P(X) .092 .124 .199 .583 .002 The table (is/is not) a probability distributionDid I do 1 through 4 correct?
- 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…What is the answer? Use a step by step anf handwritten calculation.
- 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 placesPlease solve asap.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)
- 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 qDIRECTIONS. 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 X