Suppose we toss a fair coin, with a head (H) on one side and a tail (T) on the other side, four times. a. Specify the sample space. b. Find the probability of obtaining exactly four heads. c. Find the probability of obtaining at least three head.
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Q: Number of Girls x P(x) 0.003 1 0.011 0.118 3 0.203 4 0.330 0.203 6 0.118 7 0.011 8 0.003
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- A box contains 5 balls of which 2 are red and 3 are white. Two balls are to be selected from the box. What is the expected number of red balls among the selected balls? Select one: O a. O b. 0.8 O C. 0.4 O d. 1.2The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Complete parts (a) through (d) below. E Click the icon to view the table. a. Find the probability of getting exactly 6 girls in 8 births. (Type an integer or a decimal. Do not round.) b. Find the probability of getting 6 or more girls in 8 births. (Type an integer or a decimal. Do not round.) c. Which probability is relevant for determining whether 6 is a significantly high number of girls in 8 births: the result from part (a) or part (b)? O A. The result from part b, since it is the probability of the given or more extreme result. O B. The result from part a, since it less than the probability of the given or more extreme result. O C. The result from part b, since it is the complement of the result of part a. O D. The result from part a, since it is the exact probability being asked. d. Is 6 a significantly high…The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Complete parts (a) through (d) below. Click the icon to view the table. a. Find the probability of getting exactly 6 girls in 8 births. (Type an integer or a decimal. Do not round.) b. Find the probability of getting 6 or more girls in 8 births. (Type an integer or a decimal. Do not round.) c. Which probability is relevant for determining whether 6 is a significantly high number of girls in 8 births: the result from part (a) or part (b)? A. The result from part b, since it is the complement of the result of part a. B. The result from part a, since it is the exact probability being asked. C. The result from part a, since it less than the probability of the given or more extreme result. D. The result from part b, since it is the probability of the given or more extreme result. d. Is 6 a significantly high number of girls…
- Identify the sample space of the probability experiment and determine the number of outcomes in the sample space. Draw a tree diagram. Determining a person's grade (freshman (F), sophmore (So), junior (J), senior (Se)) and gender (male (M), female (F)) Identify the sample space. O A. {FM, FF, SOM, SoF, JM, JF, SeM, SeF} B. {FM, FF, FJ, SOM, SoF, SoJ, JM, JF, JJ} C. {FM, FF, SOM, SoF, JM, JF, SeM, SeF, SoM, SoF} D. {FM, FF, SOM, SoF, JM, JF} There are Choose the correct tree diagram below. O A. outcomes in the sample space. O C. F So F J So Se M F M F M F M F M F So Se M F M F M F M F B. D. F So M F J M F F So J J M F J M F M F M FHow do I solve this problem? In Guelph, a convenience store plans to form a team of three employees to boost its sales. To do this, the owner tosses a fair coin. A male employee makes the team if the coin turns up head. A female employee makes it otherwise. A. Find the sample space associated with this random experiment. B. What is the probability that at most two women will make the team? C. What is the probability that at least two women will make the team? What is the probability that less than two women will make the team? D. If there is at least one woman in a team of 3 employees, what is the probability of having two men in that team6. 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 accompanying figure shows the 36 equally likely outcomes when two balanced dice are rolled. Complete parts (a) through (d) below. Click the icon to view the figure that shows the 36 equally likely outcomes when two balanced dice are rolled. a. Determine the probability that the sum of the dice is 12. The probability that the sum of the dice is 12 is (Type an integer or a decimal. Round to three decimal places as needed.) b. Determine the probability that the sum of the dice is odd. The probability that the sum of the dice is odd is (Type an integer or a decimal. Round to three decimal places as needed.) c. Determine the probability that the sum of the dice is 4 or 11. The probability that the sum of the dice is 4 or 11 is (Type an integer or a decimal. Round to three decimal places as needed.) d. Determine the probability that the sum of the dice is 5, 6, or 8. The probability that the sum of the dice is 5, 6, or 8 is (Type an integer or a decimal. Round to three decimal places as…3. A census was conducted at a prison. All prisoners were asked how many tattoos they had which will serve as random variable X. The table below shows the probability distribution for random variable X. 2 3 4Mai chooses a letter at random from the word DREAM, then flips a fair coin. 1. Write all the possible outcomes in the sample space. 2. What is the probability that Mai chooses the letter D and the coin lands on tails?
- 1. Please take a look for task and solve the probability problem.Below is a sample space of possible outcomes for flipping a coin 3 times. Heads ННН Heads Tails ННТ Heads Heads HTH Tails Tails HTT Heads THH Heads Tails THT Tails Heads TTH Tails Tails TTT A compound event E occurs when any of the highlighted outcomes in the sample space occurs. What is the probability of E? A. 1 4 В. 3 C. 1 2 D. 3 3