Refer to the Venn diagram for events a abs B in an equally likely sample space S. Find the indicated probability P(A intersect B)
Q: Refer to the accompanying venn diagram. An experiment in which the three mutually exclusive events,…
A: a) P(D) = n(D) / n(S) = (35 + 40 + 15) / (35+40+15+35+40+40) = 90 / 205 =…
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A: Here given venn diagram with total elements = 11+35+20+34 = 100 Use classical probability
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Q: Refer to the Venn diagram to the right for events A and B in an equally likely sample space S. Find…
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A: The given sample space is S=1,2,3,4,5,6,7,8,9,10 and event E=2,3,6.
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- Refer to the Venn diagram to the right for events A and B in an equally likely sample space S. Find the indicated probability. B P(AUB) 35 10 20 35 P(AUB)=(Type a decimal.)2. You roll two six-sided dice. Fill in the table to find the product of the two dice. Then make a frequency table listingevery possible product, how often it occurs and then make a probability distribution bar graph. 3. Using the previous problem, find the sample space, S, of the product of the two dice. Let E be the event that theproduct is even. Let T be the event that the product is divisible by 3. Define the events E and T, then find the othersubsets:a) S = b) E =c) T = d) E^c =e) T^c = f) E U T = (are E and T mutually exclusive?) g)E^c ∩ T= h)E U T =A probability experiment is conducted in which the sample space of the experiment is S= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}, event F = {3, 6, 7}, and event G = {9, 10, 12}. Assume that each outcome is equally likely. List the outcomes in F or G. Find P(F or G) by counting the number of outcomes in F or G. Determine P(F or G) using the general addition rule. %3D List the outcomes in F or G. Choose the correct answer below. О А. For G%3 {3, 6, 7, 9, 10, 12} B. For G= {3, 6, 7} C. For G= {9, 10, 12} D. For G= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} Find P(F or G) by counting the number of outcomes in F or G. P(F or G) = (Type an integer or a simplified fraction.) Determine P(F or G) using the general addition rule. P(F or G) = (Type an integer or a simplified fraction.) %D
- Consider the experiment of tossing a coin twice and then rolling a dice a. Develop a tree diagram for the experiment b. List the experimental outcomes c. What is the probability for each experimental outcome? d. Is this an question based on independent event or this is mutually exclusive? Please explain your answer.Assume that there are 4 white, 2 black and 3 red balls in a bowl. Two balls selected as randomly;a. If these selected balls assumed to be White and Black, what are the probabilities for all number of white and black ball pairsb. What is the general probability function for this experiment?c. What is marginal probability function for “white” balls?1. A pair of dice is rolled. Let X be the sum of pairs of numbers occur. a. Determine the sample space. b. Construct the probability distribution of random variable X.
- The probability is 0.4 that a traffic fatality involves an intoxicated or alcohol-impaired driver or nonoccupant. In six traffic fatalities, find the probability that the number, Y, which involve an intoxicated or alcohol-impaired driver or nonoccupant is a. exactly three; at least three; at most three. b. between two and four, inclusive. c. Find and interpret the mean of the random variable Y. a. The probability that exactly three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is nothing. (Round to four decimal places as needed.) The probability that at least three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is nothing. (Round to four decimal places as needed.) The probability that at most three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is nothing. (Round to four decimal places as needed.) b. The probability that between two and four…Note. Get the possible values of a random variable first. A pair of fair dice is rolled. Let X denote the sum of the number of dots on the top faces. a. Constuct the probability distribution of X. b. Find P(X>9)1. A box contains gold coins and silver coins. If four coins are selected at random, construct a probability distribution for the random variable X that represents the number of gold coins. Determine the sample space using a Tree Diagram. Draw the histogram of this probability distribution. Tree Diagram: Possible Outcomes Value of the Random Variable X
- A die is rolled, and two coins are flipped. The number on the die is doubled for each tail that comes up, and then recorded. a. List all possible outcomes of this random experiment. b. Assuming that the die and both coins are fair, determine the probability space.The Venn diagram below represents events A and B for a sample space with equally likely outcomes. A ВConsider the list of numbers 2,3,4. The following table includes the 9 possible combinations of choosing two numbers, with replacement, from this list. The sample means for each combination have already been calculated. Sample Mean T 2 2.5 3 2.5 3 2 2.5 3 3.5 Sample 2,2 2,3 2,4 3,2 Use the table above to construct a probability distribution. Sample Mean 4 3,3 3,4 4,2 4,3 4,4 Frequency 1 2 q q co 2 1 3.5 3 8 3.5 4 P(x) X X X X X
