Sample Space Which of the following is the sample space for this scenario? "When a button is pressed, a computer program outputs a random odd number greater than 1 and less then 9. You press the button twice." Select one: S = {(3, 3), (3, 5), (3, 7), (5, 3), (5, 5), (5, 7), (7,3), (7, 5), (7, 7)} O S= 9 S ={(2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (2, 7), (2, 8), (3, 2), (3, 3), (3,4), (3, 5), (3, 6), (3, 7), (3, 8), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (4, 7), (4, 8), (5, 2), (5, 3), (5,4), (5,5), (5, 6), (5, 7), (5, 8), (6, 2), (6, 3), (6,4), (6,5), (6, 6), (6, 7), (6, 8), (7, 2), (7, 3), (7,4), (7,5), (7,6), (7,7), (7, 8), (8,2), (8, 3), (8, 4), (8, 5), (8, 6), (8, 7), (8, 8)} O S = {2, 3, 4, 5, 6, 7,8}

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). ________…

Which of these best represents the sample space associated with selecting two coins at random with replacement from a bag containing 2 dimes, 1 nickel, and 1 penny? d, d, n, p A d-d, d-n, d-p, В n-d, n-p, p-d, p-n d-d, d-n, d-p, n-d, n-n, n-p, p-d, p-n, p-p d-d, d-d, d-n, d-p, d-d, d-d, d-n, d-p, n-d, n-d, n-n, n-p, D p-d, p-d, p-n, p-p

K In a large clinical trial, 395,956 children were randomly assigned to two groups. The treatment group consisted of 198,649 children given a vaccine for a certain disease, and 27 of those children developed the disease. The other 197,307 children were given a placebo, and 107 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Identify the values of n₁. P₁, 9₁. n2. P2, 92, P. and q. n₁ 11