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%)
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hope this helps! (:</span></span>
Answer:
The wheels make 512 revolutions per minute
Step-by-step explanation:
Diameter of truck = 36 in
Speed = 55 mi/h
Revolutions per minute =?
Radius r = diameter / 2
r = 36/2
r = 18 inches
Speed = 55 mi/h
1 mile = 63360 inches
55 miles = 55*63360 inches
55 miles = 3484800 inches
1 hr = 60 minutes
Speed = 3484800 inches/60 minutes
Speed = 58,080 inches/min
The formula used to calculate the revolutions per minute is:
revolutions = speed/Circumference
revolutions = 58,080 / 2*3.14*18
revolutions = 58,080 /113.4
revolutions = 512.16
revolutions = 512 revolutions per minute
So, The wheels make 512 revolutions per minute
Answer:
There are 448 freshmen
Step-by-step explanation:
