Thank you so much! merry christmas.
Answer:
the conditional probability that X = 1 , X = 2 and X = 3 is 0.7333 (73.33%) , 0.25 (25%) and 0.0167 (1.67%) respectively
Step-by-step explanation:
a player wins money when i>0 then defining event W= gain money , then
P(W) = p(i>0) = p(1)+p(2)+p(3)
then the conditional probability can be calculated through the theorem of Bayes
P(X=1/W)= P(X=1 ∩ W)/P(W)
where
P(X=1 ∩ W)= probability that the payout is 1 and earns money
P(X=1 / W)= probability that the payout is 1 given money was earned
then
P(X=1/W)= P(X=1 ∩ W)/P(W) = P(X=1) / P(W) = p(1) /[p(1)+p(2)+p(3)] = 11/40 /(11/40+3/32+1/160
) = 0.7333 (73.33%)
similarly
P(X=2/W)=p(2) /[p(1)+p(2)+p(3)] = 3/32 /(11/40+3/32+1/160
) = 0.25 (25%)
P(X=3/W)=p(2) /[p(1)+p(2)+p(3)] = 1/160 /(11/40+3/32+1/160
) = 0.0167 (1.67%)
Answer:
3 pack of hot dogs and 2 pack of buns 24
Step-by-step explanation:
hot dogs come in packs of 8
burns came in packs of 12
what is the least number of each you can buy in order to have a equal number of hot dogs and buns
so to get equal number
we have to look for the LCM of 8 and 12 = 24
therefore the packs will be equal to product
hot dogs come in packs of 8 = 8*3 = 24
burns came in packs of 12 = 12 *2 = 24
therefore, 3 pack of hot dogs and 2 pack of buns 24
18 = 2 x 3 x 3
8 = 2 x 2 x 2
Lowect common denominator is 2 x 2 x 2 x 3 x 3 = 72
Answer:
The employee is responsible for $180
