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vaieri [72.5K]
3 years ago
11

Select the correct answer.

Mathematics
1 answer:
Marat540 [252]3 years ago
5 0
I just did it it’s 212
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The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes
andre [41]

Answer:

0.7788 = 77.88% probability that more than three customers arrive in 10 minutes

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

f(x) = \mu e^{-\mu x}

In which \mu = \frac{1}{m} is the decay parameter.

The probability that x is lower or equal to a is given by:

P(X \leq x) = \int\limits^a_0 {f(x)} \, dx

Which has the following solution:

P(X \leq x) = 1 - e^{-\mu x}

The probability of finding a value higher than x is:

P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}

In this question, we have that:

The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes, and we have three customers, which means that m = 3*4 = 12, \mu = \frac{1}{12} = 0.0833

(a) What is the probability that more than three customers arrive in 10 minutes

This is P(X > 3). So

P(X > 3) = e^{-0.0833*3} = 0.7788

0.7788 = 77.88% probability that more than three customers arrive in 10 minutes

6 0
3 years ago
What is the surface area of a sphere with radius 4?
Verdich [7]

Answer:

SA =64 pi units ^2

Step-by-step explanation:

The surface area of a sphere is given by

SA = 4 pi r^2

SA = 4 * pi * 4^2

SA =64 pi

SA =200.96

7 0
3 years ago
Which boxes do I select?
oee [108]

Answer:

4th box

Step-by-step explanation:

8 0
3 years ago
|x|= 4 how to put it in a number line?
Alik [6]

Answer:

point on 4 and -4

Step-by-step explanation:

IxI = 4can either be 4 or -4

8 0
3 years ago
Read 2 more answers
The perimeter of a rectangular carton is 60 inches. If the width of the carton is 11 inches, calculate its length
Thepotemich [5.8K]

Answer:

19 inche

Step-by-step explanation:

Perimerer of rectangle = 2(length + breadth)

60 = 2(length + 11)

60/2 = (length + 11)

30 - 11 = length

19 = length

6 0
3 years ago
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