Jake makes 9 loaves of olive bread. he uses 30 grams of olives in each loaf. he started with 1 kilogram of olives. how many gram
1 answer:
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Answer: a) 4.6798, and b) 19.8%.
Step-by-step explanation:
Since we have given that
P(n) =
As we know the poisson process, we get that
So, for exactly one car would be
P(n=1) is given by
Hence, our required probability is 0.2599.
a. Approximate the number of these intervals in which exactly one car arrives
Number of these intervals in which exactly one car arrives is given by
We will find the traffic flow q such that
b. Estimate the percentage of time headways that will be 14 seconds or greater.
so, it becomes,
Hence, a) 4.6798, and b) 19.8%.
Answer: a) P = 0.5, b) P = 0.07
Step-by-step explanation:
Hi!
Lets call X₁ the time at which you arrive, and X₂ the time at which Bob arrives. Both are random variables with uniform density in the interval [0, 60] (in minutes). Their joint distribuition is uniform over the square in the image, with value P = 1/(60*60) = 1/3600.
a) For you to get more cake than Bob, you should arrive earlier. This event is A = { X₁ < X₂ }, the shaded triangle in the figure.The area of this event (set) is half the total area of the square, so P(A) = 0.5.
It makes sense, beacuse its equally probable for you or Bob to arrive earlier, as both have uniform density over the time interval.
b) In this case you arrive later than Bob, but less than 5 minutes later. So the event is B = { X₂ < X₁ < (X₂ + 5) } . This is the gray shaded area in b) part of the image. Its area is the difference two triangles (half square - blue triangle), then the probability is:
