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azamat
3 years ago
5

Brian arrives to the College Ave student center bus stop at 5:00 PM. The waiting time for the bus to Busch campus is a random va

riable that satisfies roughly the exponential distribution (see below). If there is a traffic congestion on route 18, the average waiting time for the bus is 25 minutes. If there is no traffic congestion, the average waiting time is 7 minutes. Ordinarily there is a 35% chance of traffic congestion on route 18 around that time of the day. Brian waited 20 minutes until the bus showed up. What is the probability that there is traffic congestion? Carefully pose the question in terms of conditional probability, explain how you find the solution, and then use R to calculate it. Search R to learn how to conduct calculations regarding the exponential distribution.

Mathematics
1 answer:
tresset_1 [31]3 years ago
8 0

Answer:

Step-by-step explanation: The solution has been done with help of Bayes Rule all the steps are done with explanations. If you still have any query i will love to answer that. Please Find Attached the solution.

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beks73 [17]

Let's write 2 equations from the two statements given.

<em>Sarah spent 10 dollars on both oranges and apples</em>

<em />

Let the price of oranges be "x" and price of apples be "y", thus we can write:

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Oranges cost 3 less than apples, thus we can say:

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We can substitute this into the first equation and solve for y:

\begin{gathered} x+y=10 \\ y-3+y=10 \\ 2y=10+3 \\ 2y=13 \\ y=\frac{13}{2} \\ y=6.5 \end{gathered}

Thus, let's solve for x now,

\begin{gathered} x=y-3 \\ x=6.5-3 \\ x=3.5 \end{gathered}

We want the price of oranges (x), thus,

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3 0
1 year ago
A salsa recipe uses green pepper, and onion, and tomato in the extended ratio 2:5:9. How many cups of onion are needed to make 9
Vlad1618 [11]
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Since the number of onion cups is 5x, then 5 * 6 = 30 cups are needed to make 96 cups of salsa.
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3 years ago
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You save 5 cents per ounce by using the 40 ounce jar, because if you do $5.20 divided by 40 it equals $0.13 but if you do $2.70 divided by 15 it equals $0.18 which is 5 more cents the the 40 ounce
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Aleks04 [339]

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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