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:
175 minutes
Step-by-step explanation:
Add up the 8 different times then divide by 4 to get the average driving time for 1 day:
⇒ 12 + 18 + 13 + 21 + 15 + 22 + 15 + 22 = 138
⇒ 138 ÷ 4 = 34.5 mins
Now multiply the average drive time for 1 day by 5 to determine the time taken to drive to and from school for 5 days:
⇒ 34.5 x 5 = 172.5 minutes
As 172.5 ≈ 175 minutes, the nest response is 175 minutes
Answer:
4
Step-by-step explanation:
200 * 1 1/2 = 300 miles traveled
300/75 = <em><u>4 hours</u></em>
Answer:
20.4 ft
Step-by-step explanation:
Since they're similar triangles (same shape, but not necessarily the same size), then you can set them up as fractions to find the missing measure.
6/9.7 = ?/33
A quick way to do use this setup is to multiply 33 by 6, then divide by 9.7.
This gives you 20.4 ft
Solve for m by simplifying both sides of the equation then isolating the variable.
m = -1 + v.
