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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- A researcher is collecting individual data by asking visitors in a train station in a medium-sized town to fill in a questionnaire. It takes nearly 30 minutes to complete the survey questions. To encourage a higher participation rate, the researcher provides a small financial incentive that is enough to buy a sandwich. The researcher wants to use this sample to make predictions about the effect of using social media on health among the residents of the town. a. Explain the random sampling assumption, which is one of the Gauss-Markov assumptions for linear regressions. b. Do you think this assumption is satisfied in the sample collected by the researcher? Explain your answer in no more than 85 words.A teacher offers gift cards as a reward for classroom participation. The teacher places the gift cards from four different stores into a bag and mixes them well. A student gets to select two gift cards at random (one at a time and without replacement). Each outcome in the sample space for the random selection of two gift cards is equally likely. What is the probability of each outcome in the sample space? StartFraction 1 Over 16 EndFraction One-sixth One-fourth One-halfA researcher randomly surveyed 1,477 farmers to determine the geographical region in which they farm and the types of crops that grow there. The two-way table displays the data. A 6-column table with 4 rows titled Geographical Region. Column 1 has entries vegetables, trees, citrus, total. Column 2 is labeled Northeast with entries 93, 115, 20, 228. Column 3 is labeled Southeast with entries 211, 27, 209, 447. Column 4 is labeled Midwest with entries 251, 16, 98, 365. Column 5 is labeled West with entries 168, 53, 216,…ACTIVITY 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% Total
- B. random sample D. None of the above 4. Which of the following is an example of a discrete random variable? A. weight of a new born baby B. body temperature of COVID-19 patients C. number of heads that will out if you toss a coin twice D. height of volleyball players 5. Shiela decided to conduct survey of families with four children. She is interested in counting the number of boy in each family. Is this a random variable? A. Yes, it is a random variable. В. Маybe C. No, it I not a random variable D. Cannot be determined 6. A box has red marbles, 3 black marbles and 5 blue marbles. A marble is picked at random. what is the total number of possible outcomes? А. 2 7. Cardo decided to order a pizza but he needs to choose the type of crust and the toppings. If there are only 6 possible combinations of ordering a pizza, from which of the following should you choose? В. 3 С. 5 D. 10 A. Crust: thin or deep dish ; Toppings: cheese, bacon, sausage, pepperoni or hotdogThree 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 outcomesIn Wyoming, there are about 300,000 registered voters, of whom 30,000 are Democrats. A survey organization is about to take a simple random sample of 900 registered voters. The expected value for the percentage of Democrats in the sample is
- A recent survey of post-secondary education students in Canada revealed that 76% are confident in their ability to manage their finances.You are to randomly pick 30 post-secondary education students across the country, and ask each the following question: Are you confident in your ability to manage your finances? You have defined the random variable X to represent the number, out of 30 post-secondary students chosen, who respond YES.(a) What is the probability that 22 of these post-secondary students respond YES?P(X=22)= _________(use four decimals in your answer) (b) What is the probability that between 14 and 20 of these students will respond YES?P(14≤X≤20)=_________(use four decimals in your answer) (c) How many of the 30 post-secondary students would you expect to respond YES? Find the standard deviation as well.E(X)=μX=_________(use two decimals in your answer) SD(X)=σX=_________ (use two decimals in your answer)Which of these variables is a discrete random variable? a. the height of 12 randomly selected people in a store b. the time it takes for student in a class to complete a quiz c. the number of people wearing glasses in a classroom d. none of the above 2. The librarian surveys every 7th student from an alphabetized list to determine reading preferences for new purchases. What tipe of sampling method is used in this scenario a. systematic random sampling b. stratified random sampling c. simple random sampling d. cluster random sampling