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RSB [31]
3 years ago
13

Marking brainliest

Mathematics
1 answer:
Ede4ka [16]3 years ago
8 0

36%

Hope this is right im only 11  :)

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The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.
Ulleksa [173]

Answer:

0.52763 is the probability that the time between the next two calls will be 54 seconds or​ less.

0.19285 is the probability that the time between the next two calls will be greater than 118.5 ​seconds.

Step-by-step explanation:

We are given the following information in the question:

The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.2 minutes.

The distribution function can be written as:

f(x) = \lambda e^{-\lambda x}\\\text{where lambda is the parameter}\\\\\text{Mean} = \mu = \displaystyle\frac{1}{\lambda}\\\\\Rightarrow 1.2 = \frac{1}{\lambda}\\\\\lambda = 0.84 \\f(x) = 0.84 e^{0.84 x}

The probability for exponential distribution is given as:

P( x \leq a) = 1 - e^{\frac{-a}{\mu}}\\\\P(a \leq x \leq b) = e^{\frac{-a}{\mu} -\frac{-b}{\mu}}

a) P( time between the next two calls will be 54 seconds or​ less)

P( x \leq 0.9)\\= 1 - e^{\frac{\frac{-54}{60}}{1.2}} = 0.52763

0.52763 is the probability that the time between the next two calls will be 54 seconds or​ less.

b) P(time between the next two calls will be greater than 118.5 ​seconds)

p( x > \frac{118.5}{60}) = P(x > 1.975)\\\\ = 1 - P(x \leq 1.975) \\\\= 1 -1+ e^{\frac{-1.975}{1.2}}\\\\= 0.19285

0.19285 is the probability that the time between the next two calls will be greater than 118.5 ​seconds.

6 0
3 years ago
Write a word sentence as an inequality.<br><br> A number k minus 8.4 is greater than 21.
Travka [436]

Answer: k-8.4>21

Step-by-step explanation: K subtracted by 8.4 is greater than 21, so we start the equality off with our unknown variable K. Because K-8.4 is greater than 21, our symbol faces the direction of K-8.4 (symbol always faces the direction of the greater values).

8 0
3 years ago
WILL GIVE BRAINLIEST!! A,B,C, or D
SpyIntel [72]
C is the answer I think
7 0
2 years ago
Read 2 more answers
CHECK MY ANSWER?!
MrRissso [65]
First degree polynomial w two terms. a polynomial means there is more than one term and 2x is one term and 8 is the other :) hope this helped
4 0
3 years ago
Read 2 more answers
Find f(3) given that f(3) = -x^4 + 3x^3 + x^2 - 8x - 16.
Hitman42 [59]

Answer: -31

<u>Step-by-step explanation:</u>

f(x) = -x⁴ + 3x³ + x² - 8x - 16

f(3) = -(3)⁴ + 3(3)³ + (3)² - 8(3) - 16

     =  -81  +  81     + 9   -  24  - 16

     = -31

6 0
2 years ago
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