[填空题]
A mathematics teacher desig;/n haw1w,r+ysd dt d;ned a new type of probabil+j +gdn*k6mqqpk 3fiozygk. 3 ,fl22lity game to play with her students. In the game, a student draws two marbles at random from a bag in succession, with replacement. The bag contains 8 marbles: 1 red, 3 white, 2blue and 2 green. jkf +3mo pk6d qz,ygn.fq3l*22g i+lkThe 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 =
