5. A dice is weighted so that its probability distribution of a weighted dice has the form shown in the following table, so that \frac{1} Price $0-$999 $1,000-$1999 $2,000-$2,999 $3,000-$3,999 $4,000-$4,999 $5,000 Number sold 2 0 1 4 6 (a) A painting is auctioned for between $0 and $3,999. P(E) = Check Clear (b) A painting is auctioned for at least $2,000. P(E)= Check Clear (c) A painting is not auctioned for between $2,000 and $4,999. 1