What do you call the term if the sample space of a random experiment consists of uncountable infinite number of outcomes? a. Random Variables b. Discrete Random Variables c. Continuous Random Variable
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Q: If A and B are two events of a sample space then p(A)=0.2 and p(B)=0.6 a d p(A/B)=0.5 then P(A/B)=
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Q: Consider an experiment with sample space S = {A,B,C}. If P(A)=0.6, P(B)=0.2, and P(C)=0.2, then (a)…
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- Consider the random experiment in which two pieces of data are thrown, and in which we are interested in determining the "sum of points" that can be obtained. Determine: the random variable and the values of the random variableACTIVITY NO. 5: COMPUTING PROBABILITY CORRESPONDING TO A GIVEN RANDOM VARIABLE NAME: . TRACK/STRAND & SEC.: SCORE: (HOW MANY SIBLINGS DO THE LEARNERS HAVE) In your Statistics class, the teacher wants to know the number of siblings the learners have. Teacher: How many of the class have 0 sibling? Class: (There were 2 learners who raised their hands.) Teacher: How many of you has 1 sibling? Class: (There were 10 learners who raised their hands.) This continues until 7 siblings. Suppose that we have the following table of frequencies. Let us use W to represent the number of sibling/s. Probability of the jRandom Variable (W) P(W) 2/50 = 0.04 = 4% 10/50= 0.2% = 20% 28/50=0.56%=56% 5/50=0.1 = 10% 3/50=0.06 6% 1/50=0.02 = 2% W= Number of siblings Frequency %3D 1 10 %3D 28 3 4 3 %3D 1 7 1 1/50-0.02 2% TotalA and B are both events in sample space S. P(A) = 0.4 P(B) = 0.3 P(AandB) = 0.2 What's the probability of either A or B occuring?
- Bus-173 (Applied Statistics)In tossing 2 fair coins, what is the expected number of heads? Let the random variable X represent the number of heads.Three students scheduled interviews for summer employment at the Tiket.com. In each case the interview results in either an offer for a position or no offer. Experimental outcomes are defined in terms of the results of the three interviews.a. List the experimental outcomes.b. Define a random variable that represents the number of offers made. Is the random variable continuous?c. Show the value of the random variable for each of the experimental outcomes
- According to the Federal Trade Commission report on consumer fraud and identity theft, 23% of all complaints in 2007 were for identity theft. This year, a certain state kept track of the number of its 1325 complaints were for identity theft. They want to know if the data provide enough evidence to show that this state had a different proportion of identity theft than 23%? State the random variable, population parameter, and hypotheses. Fill in the correct null and alternative hypotheses. H0:H0: HA:HA: A Type I error in the context of this problem would be A Type II error in the context of this problem would beDominique, Marco, Clarice, John, and Roberto work for a publishing company. The company wants to send two employees to a statistics conference. To be fair, the company decides that the two individuals who get to attend will have their names randomly drawn from a hat (a) Determine the sample space of the experiment. That is, list all possible simple random samples of size n=2. (b) What is the probability that Dominique and Clarice attend the conference? (c) What is the probability that Marco attends the conference? (d) What is the probability that Roberto stays home? (a) Choose the correct answer below. Note that each person is represented by the first letter in their name. O A. DM, DC, DJ, DR, MC, MJ, MR, CJ, CR, JR, DD, MM, CC, JJ, RR O B. DM,DC DJ,DR,MC,MJ,MR,CJ,CR JR,MD.CD,JD,RD CM, JM,RM JC RC RJ OC. DM, DC, DJ, DR, MC, MJ, MR, CJ, CR, JR O D. DM, DC, DJ, DR (b) The probability that Dominique and Clarice attend the conference is (Round to one decimal place as needed ) (c) The…A 2016 episode of the NPR program "This American Life" featured a radio show host from Tigerville South Carolina and focused on the divisions among evangelical Christians regarding their support of the then-presidential candidate Donald Trump. We know that these divisions still exist, and suppose you want to survey the people of Tigerville (population: 1.312) to see how many of them support Donald Trump today, and you want to use a simple random sample. (a) An SRS of 150 people is taken and it turns out that 55 support Trump. Estimate the proportion of people in Tigerville that support Trump and give a 95% confidence interval for the true proportion of Trump supporters using your estimate. (b) If 100 simple random samples are taken independently, and 100 such 95% confidence intervals are constructed, what is the probability that all 100 of these intervals will cover the true proportion? Does this number make sense to you? Explain.