List all the elements in the sample space for the set S = {x|7x − 35 ≥ 0 and x < 2}.
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- Total blood volume (In ml) per body welght (In kg) is Important In medical research. For healthy adults, the red blood cell volume mean is about u = 28 ml/kg.t Red blood cell volume that is too low or too high can Indicate a medical problem. Suppose that Roger has had seven blood tests, and the red blood cell volumes were as follows. 32 26 40 37 31 35 29 Let x be a random varlable that represents Roger's red blood cell volume. Assume that x has a normal distribution and o = 4.75. Do the data Indicate that Roger's red blood cell volume is different (either way) from u = 28 ml/kg? Use a 0.01 level of significance. (a) what is the level of significance? State the null and alternate hypotheses. Will you use a left-talled, nght-taled, or two-talled test? O Ho: H= 28 ml/kg; H: H> 28 ml/kg; right-tailed O Hg: H- 28 ml/kg; H: u = 28 ml/kg; two-taled O Ho: H- 28 m/kg; H: H 23 2$ backspace 1 4. 8 9.Find the highest possible value for x in the set 8.2, 7.7, 6, 4.8, 8.2, 5.8, 9.2, 7.3, 6.2, 8.1, 5.5, and x such that the mean of these scores is 7.Find the highest possible value for x in the set 8.2 7.7 6 4.8 8.2 5.8 9.2 7.3 6.2 8.1 5.5 and x such that the mean of these scores is 7. show complete solution
- A recent poll indicates that 48% of all registered voters in America plan to vote for a specific candidate in the upcoming presidential election. Suppose a random sample of 20 Americans is taken. Let X represent the sample count who plan to vote for the candidate. What is P(X≠5)? An experiment consists of drawing two numbers out of a hat one after the other containing the numbers 1, 3, 5, 6. The two numbers are then recorded as a 2-digit number. The number drawn is NOT put back in the hat before drawing the second. Do the following: List the sample space.________________________________ Let F = the event of getting a number whose first digit is odd Let S = the event of getting a multiple of 6 Find P( F and S) =____________________________________ Find P(F) =______________________________ Find P(F|S) =_______________________________________ Are F and S independent events? ___________Justify_____________ VIII (15) Let E be the event that at least two people out of 4 have the same birth month (not day). How many outcomes in the Sample space. In other words, compute n(S).________ State in words the complement of E. _____________________________ How many outcomes in the event not E. In other words, compute n(not E). ________…A fair coin is tossed three times. Let X be number of heads. (1) Write out the sample space. (2) Find P(X=2) (3) Find E(X)
- Suppose we have a set öf n values! {x1, X2, .., Xn-1, Xn} The sample mean of the above set is x. Prove that if we multiply every value by k, then the new average will be: New average= kã (Hint: Use the formula for the sample mean with the “new" set plugged in, then simplify.)point) Four buses carrying 157 high school students arrive to Montreal. The buses carry, respectively, 33, 50, 25, and 49 students. One of the studetns is randomly selected. Let X denote the number of students that were on the bus carrying this randomly selected student. One of the 4 bus drivers is also randomly selected. Let Y denote the number of students on his bus. Compute the expectations and variances of X and Y: E(X) = Var(X) = E(Y) = Var(Y) =You have a sample of 500 individuals arranged in a 2 x 2 table. Of these, 220 have hypertension and 250 have Covid. there is overlap between covid and hypertension, but this is not given. which is best match for your expected values? 120,130,120.130 115, 135,110,140 110, 140, 110, 140 110,140,120,130