[填空题]
A mathematics teacher designed ab3r;bw ll -ztio2y 76lss0m 3a new type of prolqcfh 449n+4xx9zc8cnwg +qlbability game to play with her students. In the game, a student draws two marbles at random from a bag in succession, with rqnlw 48cfh9xnxc44lcz9+g +qeplacement. The bag contains 8 marbles: 1 red, 3 white, 2blue and 2 green. The points scored for each coloured marble is shown in the table below.
The score the student receives in the game is the sum of the points from the two draws. This is illustrated by the sample space diagram shown below.
1. Determine the value of c in the sample space diagram above.
Lin plays the game once. Let the random variable L represent Lin's score. =
2. Using your answer in part (a), complete the missing column in the following probability distribution table for L .$\frac{a}{b}$ a = b =
3. Find the probability that
1. Lin scores at least 4.$\frac{a}{b}$ a = b =
2. Lin scores exactly 6 , given that she scores at least 4 .$\frac{a}{b}$ a = b =
4. Find Lin's expected score in the game.$\frac{a}{b}$ a = b =
