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trasher [3.6K]
3 years ago
10

Which of the following distributions can be used to solve the following problem? The average number of cars arriving at a drive-

through fast-food restaurant is 3 cars in 10 minutes. What is the probability that exactly four cars will arrive in a 5-minute interval?
Mathematics
1 answer:
Bas_tet [7]3 years ago
7 0

You did not state the options to choose from, but I will give a suitable distribution for solving the given problem.

Answer:

Poisson Distribution

Step-by-step explanation:

Poisson Distributions are used in calculating the probability of an event occurring over a given interval.

It is calculated using the formula

P(X = x) = [e^(-β)β^x]/x!

Where e = 2.718

β = mean or expected value of the variable.

x = number of successes of the event

Applying this to the given problem, suppose we are trying to find the probability that exactly four cars will arrive in 5 minute interval.

Average number of cars arriving = 3/10 = 0.3

The probability of success over a short interval must be the same probability over a long interval, so we have β = 0.3 × 5 = 1.5

x = 4

P(X = 4) = [e^(-1.5) (1.5)^(4)]/4!

= 0.047066518

≈ 0.0047

There is a 0.47% chance that exactly four cars will arrive in 5 minute interval.

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A bakery sold 27 mocha cupcakes in a day, which was 9% of the total number of
Sidana [21]

Answer:

300 cupcakes

Step-by-step explanation:

27 = .09c

c =  \frac{27}{.09}  =  \frac{2700}{9}  = 300

8 0
2 years ago
How to graph y=-3x+15
steposvetlana [31]

Answer:

Well first you put the y-intercept on the graph. In this case it would be 15

So graph the point (0,15)

The you do the slope which is 3

so you always do rise over run for slope.

If 3 were a fraction it would be 3/1 so go up 3 points and the go right 1 point from (0,15)

hope this helps .-.

3 0
3 years ago
Round 8.47285 to 3 decimal places
Elanso [62]
8.473 is the correct answer
7 0
3 years ago
All students = 700
Sedaia [141]

Answer:

  • See below

Step-by-step explanation:

<u>Given:</u>

  • Total number = 700
  • Off grid class = 450
  • Online class = 320
  • Both = 275

<u>Based on the given we find the following</u>

1) <u>Off-grid class only:</u>

  • 450 - 275 = 175

3) <u>Online class only:</u>

  • 320 - 275 = 45

2) <u>None of the classes:</u>

  • 700 - (175 + 275 + 45) = 205

4) <u>Not online:</u>

  • 700 - 320 = 380

5) <u>Not off-grid:</u>

  • 700 - 450 = 250
7 0
3 years ago
Rates for having a manuscript typed at a certain typing service are $5 per page for the first time a page is typed and $3 per pa
Goryan [66]

Answer:

D. $680

Step By Step Explanation:

100 pages are typed. Each page coast $5 to type.

100 x 5 = 500

40 pages are revised once. It costs $3 to revise a page once.

40 x 3 = 120

10 pages are revised twice. It costs $3 to revise a page once so it will cost $6 to revise it twice

10 x 6 = 60

To find the total cost we add all the amounts together

500 + 120 + 60 = 680

The final answer is $680

6 0
3 years ago
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