1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
iris [78.8K]
3 years ago
14

(7 points) Cars arrive at a toll both according to a Poisson process with mean 80 cars per hour. If the attendant makes a two-mi

nute phone call, what is the probability that at least 1 car arrives during the call
Mathematics
1 answer:
saveliy_v [14]3 years ago
5 0

Answer:

The probability that at least 1 car arrives during the call is 0.9306

Step-by-step explanation:

Cars arriving according to Poisson process - 80 Cars per hour

If the attendant makes a 2 minute phone call, then effective λ = 80/60 * 2 = 2.66666667 = 2.67   X ≅ Poisson (λ = 2.67)

Now, we find the probability: P(X≥1)

P(X≥1) = 1 - p(x < 1)

P(X≥1) = 1 - p(x=0)

P(X≥1) = 1 - [ (e^-λ) * λ^0] / 0!

P(X≥1) = 1 - e^-2.67

P(X≥1) = 1 - 0.06945

P(X≥1) = 0.93055

P(X≥1) = 0.9306

Thus, the probability that at least 1 car arrives during the call is 0.9306.

You might be interested in
Translate this phrase into an algebraic expression.
Daniel [21]

Answer:

16 + 2n

Step-by-step explanation:

n + n is twice of a number, but 2n is simplified. "16 increased by" just represent addition

8 0
3 years ago
Three siblings collect rare coins. Howany rare coins does each sibling have if theyhave a total of 49 rare coins?
Dafna1 [17]
49 divided by 3 = 16.33  
Each sibling has about 16 rare coins.
7 0
3 years ago
The Chinese Institute of Health Statistics reported that of every 7,883 deaths in recent years, 624 resulted from a traffic acci
elena-s [515]

Answer:

7.92% probability that a particular death is due to a traffic accident

Step-by-step explanation:

The relative frequency approach to find the probability that a particular death is due to a traffic accident is the number of deaths due to traffic accidents divided by the total number of deaths.

We have that:

624 deaths from traffic accidents

7883 total deaths.

So

p = \frac{624}{7883} = 0.0792

7.92% probability that a particular death is due to a traffic accident

8 0
3 years ago
How do u express a ratio as a decimal
Viktor [21]
Perform the indicated division ... divide the numerator by the denominator.
The quotient is the decimal form of the ratio.
6 0
3 years ago
What is the solution to the system of equations?<br><br> (5, 0)<br> (0, 5)<br> (0, –5)<br> (–5, 0)
adelina 88 [10]
The solution is the point where the lines intersect (cross)...and that would be :
(0,-5)
4 0
3 years ago
Read 2 more answers
Other questions:
  • Can someone help with 29, 30, 31, and 32 please!
    11·1 answer
  • Mr.Cereola multiples some number x by some number y and then raises the product to the fourth power. If x=4 and y=3 find the end
    5·1 answer
  • A factory used 478.25 kilograms of tomatoes to make 5 batches of pasta sauce. What quantity of tomatoes did the factory put in e
    6·1 answer
  • What is the explicit formula for this sequence?
    10·1 answer
  • 5. What’s the answer to this question ASAP
    11·1 answer
  • Identify the properties of the given quadratic.<br> y=-3.82 + 6x + 17
    5·1 answer
  • If 6 is added to three quarters of a certain number, the result is 42 . Find the original number​
    12·2 answers
  • Marco mixed 2 teaspoons of sugar and 1 teaspoon of milk into his coffee. What is the ratio of teaspoons of sugar
    9·2 answers
  • You are a male who has a high school diploma. You plan to attend college and earn a bachelor’s degree. When you graduate from co
    11·1 answer
  • Which graph shows the solution to this system of inequalities?<br><br> y&lt;-1/3x+1<br> y&lt;_2x-3
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!