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]
2 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]2 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
I need to fill this out for notes .
docker41 [41]

Answer:

not an answer but how do you attach images because it would be more useful

Step-by-step explanation:

5 0
2 years ago
In the theory of learning, the rate at which a subject is memorized is assumed to be proportional to the amount that is left to
babymother [125]

Answer:

dA/dt = k1(M-A) - k2(A)

Step-by-step explanation:

If M denote the total amount of the subject and A is the amount memorized, the amount that is left to be memorized is (M-A)

Then, we can write the sentence "the rate at which a subject is memorized is assumed to be proportional to the amount that is left to be memorized" as:

Rate Memorized = k1(M-A)

Where k1 is the constant of proportionality for the rate at which material is memorized.

At the same way, we can write the sentence: "the rate at which material is forgotten is proportional to the amount memorized" as:

Rate forgotten = k2(A)

Where k2 is the constant of proportionality for the rate at which material is forgotten.

Finally, the differential equation for the amount A(t) is equal to:

dA/dt = Rate Memorized - Rate Forgotten

dA/dt = k1(M-A)  - k2(A)

7 0
3 years ago
Michael recorded the number of points his team scores for the first seven basketball games 64 5860 5256 62-54 which box plot cor
natka813 [3]

The correct option is fourth option

Explanations:

From the data, re-arranging in ascending order, the median of the data is 58.

The upper quartile is 62, while the lower quartile is 54

From the options, only the 4th options represent a box plot of median 58, upper quartile of 62 and lower quartile of 54. This makes it the correct option

8 0
1 year ago
A cartographer wants to create a map of Seattle. He has designed key/legend for the map indicating that 1 cm equals 2 miles. If
VMariaS [17]
Answer:a is the answer I think..........................
6 0
3 years ago
Read 2 more answers
A publisher reports that 54% of their readers own a particular make of car. A marketing executive wants to test the claim that t
dalvyx [7]

Answer and explanation:

Null hypothesis: p is not 54%

Alternative hypothesis : p is equal 54%

First find standard deviation

Standard deviation is:

σ = √[ P ( 1 - P ) / n ] = √[ 0.54×0.46/220 ] =0.033

The z score is calculated p-P/σ = (0.54-0.50)/0.033 = 1.2121

Therefore we can conclude that proportions are not same and fail to reject the null hypothesis

3 0
3 years ago
Other questions:
  • Julia lined up the interior angles of the triangle along the line below. <br> What is the answer?
    9·2 answers
  • The ratio of boys to girls in the Science Club is 3:5. If there are 60 girls, how many boys are there?
    8·2 answers
  • Pleasee guyssss. I need to fill this space haha
    7·2 answers
  • Is 143 and 63 relatively prime numberd
    10·1 answer
  • M is between L and N. LM = 7x-1, MN = 2x +4, and LN = 12. find the value of ‘x’ an determine if M is a bisector.
    6·1 answer
  • The opposite of -a is always positive. True or false? <br>Answer it fast please!!
    13·1 answer
  • PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!
    6·2 answers
  • Which model shows two equal expressions when c=5
    8·2 answers
  • What is 2x+4<br> dhfbwaehaskjbdjk.sabhdsahdiasebfsdafvasdgdsf
    8·1 answer
  • PLEASE SHOW WORK ILL GIVE BRAINLIEST DUE TODAY!!!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!