Hannah is hosting a halloween party for the cis 160 tas and has designed a game. the game consists of one player rolling a fair six-sided die twice; the player then wins s pieces of candy where s is the sum of the two rolls. for example, if the player rolls a 2 and then a 3, they will win 5 pieces of candy. note that each of the 36 possible outcomes of the two rolls is equally likely and has probability 1/36. as a cis 160 ta, hannah comes up with several conjectures about the game and has asked you answer them. (a) let aj be the event that the first roll is i and let b, be the event that the second roll results is j. are ai and b; independent? (b) let a be the event that the first roll is a 1 and b be the event that the sum of the two rolls is a 7. are a and b independent? (c) let a be the event that the maximum of the two rolls is 3 and b be the event that the minimum of the two rolls is 3. are a and b independent?

answer: 16

step-by-step explanation: first you would add 6+6 which equals 12 then add 2+2 which equals 4. then add 12 + 4 which is 16.

hope this ^_^

ιт 45,000 мєтєяѕ тσ ℓαѕ νєgαѕ

нσρє ι ¢συℓ∂ нєℓρ

0 and 5 minutes

step-by-step explanation:

given that one morning eight buses arrive late by the number of minutes given below:

0 8 2 6 9 2 0 7 8

write these in ascending order

0   0 2 6 7 8 8 9

in the afternoon two more buses arrive at the bus stop say by x and y minutes late.

total number of buses = 10

median = average of 4th and 5th after arranging in ascending order

since 4th entry is 6, the values of x and y should be below 6

also given 0 is the mode so either x or y or both should be 0 because then only 0 gets the maximum frequency and hence mode

thus we have

0 0 0 2 6 7 8 8 9 and another unknown entry which is below 6.

since median is 3.5, we have the unknown entry to be 5 only because then only median =( 2+5)/2

thus the after noon buses were late by 0 and 5 minutes.