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2 years ago

I need help on this question

Mathematics

1 answer:

Harlamova29_29 [7]2 years ago

6 0

Answer: Capitalism

Step-by-step explanation:

hope it helps

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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

2(9n - 6) + 52 = 2(7n + 8)

STatiana [176]

Step-by-step explanation:

2×9n=18n

2×-6=-12

52-12+18n= 38 +18n

2×7n=14n

8×2=16

14n+16

38+18n=14n+16

subtract 14n from 14n and 18n

38+4n=16

subtract 38 from 38 and 16

4n=-22

divide each side by 4

n= -5.5

4 0

3 years ago

Read 2 more answers

Find measure of angle labeled X

trasher [3.6K]

Is it number15?
then it is
3x = 180
x = 60
x will be 60

7 0

2 years ago

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**PSYCHOLOGY**

iris [78.8K]

Her conception is that the view of the sun is bright, her perception is that the bright sun has a positive impact on her, and her interpretation is that her body doesn't mind the heat yet welcomes it. The answer here is Perception.

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2 years ago

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19. Find the value of X (In the picture) (giving points to best answer/brainlest)

Tema [17]

Answer:

x = 61 degrees

Step-by-step explanation:

The triangle on the right is isosceles and the base angles are congruent

the sum of the inner angles of a triangle is 180 degrees

2 * 74 + y = 180

148 + y = 180

y = 32 degrees

the total angle is 90 degrees

so we have that

90 - 32 = 58 degrees

Also the left triangle is isosceles, so we have

2x + 58 = 180

2x = 122

x = 61 degrees

7 0

3 years ago