In the number 1,234,659.088 what is the value in the hundredths place

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

Simplify log 4 - log 8

Leno4ka [110]

Answer:

-log2

Step-by-step explanation:

log4 - log8 = log2² - log2³

= 2log2 - 3log2

= (2 - 3)×log2

= (-1)×log(2)

= -log2

6 0

2 years ago

Which inequality represents this sentence? Seven plus five is greater than six plus two. A. 7 + 5 ≥ 6 + 2 B. 6 + 2 > 7 + 5 C.

Ainat [17]

The answer would be D

Hope this helps!

5 0

2 years ago

Read 2 more answers

What is the 23rd term of the arithmetic sequence where a1 = 8 and a9 = 48?

yKpoI14uk [10]

$a_1=8$
$a_2=a_1+d=8+d$
$a_3=a_2+d=(8+d)+d=8+2d$
$a_4=a_3+d=(8+d)+2d=8+3d$
...
$a_9=8+8d=48\implies d=5$
$a_{10}=8+9d$
...
$a_{23}=8+22d=118$

8 0

2 years ago

Read 2 more answers

A bag has 14 yellow Marbles and 6 red marbles half of the red marbles are made of plastic a marble is selected at random from th

ivolga24 [154]

Answer:

There is a 3/20 chance that a red plastic marble will be taken out on random.

Step-by-step explanation:

This is because there are 14 yellow marbles, and 6 red marbles. Along with this, half of the red marbles are made out of plastic. This leaves 3/6 of the red marbles made out of plastic. When combined with the yellow marbles, you'll add 14 to the denominator, since there are 14 yellow marbles. (Red + Yellow = Total Number Of Marbles) This leads to a total count of 3 marbles of the 20 total marbles, being red and made out of plastic.

6 0

2 years ago