Let S be the sample space of an experiment of throwing an ordinary dice once. Define X as numbers more than 3, Y odd numbers. What is the probability of X U Y.
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Let S be the
once. Define X as numbers more than 3, Y odd numbers. What is the
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- Suppose that we roll two fair dice, one red and one blue. Then there are 36 possible outcomes in the sample space, as shown in the table below. Blue Die 1 4 6. 1 (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) 2 (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) 3 (3,1) (3,2) (3,3) (3,4) (3,5) (3,6) 84 (4,1) (4,2) (4,3) (4,4) (4,5) (4,6) A 5 (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) 6 (6,1) (6,2) (6,3) (6,4)| (6,5) (6,6) Suppose we write the sample space in terms of the number of dots facing up on the two dice. That is, write S = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. Use the table to answer each of the following: Complete the probability distribution function (pdf). Enter your answer as a fraction. Sample space Probability 2 3 4.In a two sample (independent-sample) test, what must be true if t = 0? Group of answer choices A)The two population means must be equal. B)The two sample means must be equal. C)The two sample variances must be equal. D)The two population means must be not equal.Two fair dice are rolled at the same time and the number of dots appearing on both dice is counted. (i). Make a table to represent the sample space for this pair of dice (I)Find the probability that the sum is 7 (ii). Find the probability that the sum is an odd number larger than 6 (iii) Find the probability that the sum is less than 2 (iv). Find the probability that the sum is more than 12 (v). Find the probability that the sum is between 2 and 12 inclusive.
- A student answers randomly three True (T) or False (F) questions. Make a list of all possible outcomes (sample space). A. (TTT, TTF, TFT, FTT, FFT, FTF, TFF, FFF) v Make the list of outcomes corresponding to the following event: The student answered B. (TTF, TFT, FTT, FFT, FTF, TFF} True at least two times C.(TT, TTE, TET, ET) v Make the list of outcomes corresponding to the following event: The student answered at least one true and one false. D. (TTT, FFF} E. (FFF, TFT, FFT}A box contains seven notes. Four of the notes have number 3 written onthem, and the remaining have number 5 written on them. Two notes areselected at random and X is the sum of the numbers selected. Find theprobability distribution of X.Q8. A couple is planning to have a family. They decide to stop having children either when they have two boys or when they have four children. Suppose that they are successful in their plan. Write down the sample space.
- Assume that 900 births are randomly selected and 443 of the births are girls. Use subjective judgment to describe the number of girls as significantly high, significantly low, or neither significantly low nor significantly high.Upload the picture of your answers with your name ang signature. An experiment consists of asking 3 women at random if they wash their dishes with brand X detergent. a. List the elements of a Sample Space S using the letter Y for yes" and N for "no". b. List the elements of S corresponding to event A that at least 2 women use brand X. c. List the elements of S corresponding to event B that exactly 2 women use brand X. d. List the elements of S corresponding to event C that the first woman interviewed use brand X. e. List the elements in ANBNC f. List the elements inA UBUC g. List the elements A' U C h. List the elements in (A' N B') UCSuppose that it is known that a certain disease occurs in 4% of the population. Suppose also that we have a certain medical test to determine if person has this disease. The test produces a positive reading on 99.4% of those infected with the disease. Suppose that this test gives a positive result in healthy patients 2% of the time. Assume we have 100,000 random individuals that follow the above information perfectly. Determine the number of false positives. Type your numeric answer and submit A Submit Unanswered 19 nter 6 Notes Pa docx Show all
- If the sample space is C = C1UC2 and if P(C1) = 0.62 and P(C2) = 0.55, find Q.2. P(C1NC2).Please help meConsider the experiment of rolling a pair of dice. Suppose that we are interested in the sum of the face values showing on the dice. Because each roll has six possible even values (2, 4, 6, 8, 10, and 12) and only five possible odd values (3, 5, 7, 9, and 11), the dice should show even values more often than odd values. Do you agree with this statement? Explain. This statement ---Select--- is is not correct because P(odd) = and P(even) =
