Look at the attached image and answer the question please!

Customers experiencing technical difficulty with their Internet cable hookup may call an 800 number for technical support. Itake

Paladinen [302]

Answer:

(A) The percent of the problems takes more than 5 minutes to resolve is 60.87%.

(B) The problem solving time will be 50% as long as the difference between the two end points is 5.75.

(C) a = 0.50 minutes, b = 12 minutes.

(D) Mean = 6.25 minutes, Standard deviation = 3.32 minutes

Step-by-step explanation:

Let the random variable X represent the time it takes the technician to resolve the problem.

The random variable X follows an Uniform distribution with parameters a = 0.50 minutes and b = 12 minutes.

The probability density function of X is:

$f_{X}(x)=\frac{1}{b-a};\ a$

(A)

Compute the probability that the problems takes more than 5 minutes to resolve as follows:

$P(X>5)=\int\limits^{12}_{5}{\frac{1}{12-0.50}}\, dx$

$=\frac{1}{11.50}\cdot \int\limits^{12}_{5}{1}\, dx \\\\=\frac{1}{11.50}\cdot [x]\limits^{12}_{5}\\\\=\frac{1}{11.50}\cdot [12-5]\\\\=\frac{7}{11.50}\\\\=0.608696\\\\\approx 0.6087$

Thus, the percent of the problems takes more than 5 minutes to resolve is 60.87%.

(B)

Let the middle 50% of the problem-solving times be between u and v.

Then,

P (u < X < v) = 0.50

$\int\limits^{v}_{u}{\frac{1}{12-0.50}}\, dx=0.50\\\\\frac{1}{11.50}\cdot \int\limits^{v}_{u}{1}\, dx=0.50\\\\\frac{v-u}{11.50}=0.50\\\\(v-u)=5.75$

Thus, the problem solving time will be 50% as long as the difference between the two end points is 5.75.

(C)

The interval in which the technician can solve the problem is 30 seconds to 12 minutes.

So, the values of a and b in minutes is:

a = 30 seconds = 0.50 minutes

b = 12 minutes.

(D)

The mean time is:

$\mu=\frac{a+b}{2}=\frac{0.50+12}{2}=6.25\ \text{minutes}$

The standard deviation of the time is:

$\sigma=\sqrt{\frac{(b-a)^{2}}{12}}=\sqrt{\frac{(12-0.50)^{2}}{12}}=3.3197\approx 3.32\ \text{minutes}$

5 0

3 years ago

A turtle walked in a straight line from 1:23 p.m. to 6:23 p.m. each hour, the turtle traveled four-fifths if a kilometer. How fa

liq [111]

Four Kilometers for the turtle

3 0

3 years ago

A boat costs $12,050 and decreases in value by 12% per year. How much will the boat be worth after 9 years?

Anvisha [2.4K]

Hi there
The formula is
A=p (1-r)^t
A future value?
P present value 12050
R rate of decreases 0.12
T time 9 years
A=12,050×(1−0.12)^(9)
A=3,813.6 round your answer
A=3814

Hope it helps

4 0

4 years ago

The diagram below shows a proportional relationship between the number of cans of soup and the price.What is the constant of pro

grandymaker [24]

Answer:

The constant of proportionality is 1.25 and its meaning is the soup price per can

Step-by-step explanation:

The diagram below shows a proportional relationship between the number of cans of soup and the price.

1st:

$3.75 for 3 cans

$\$3.75\div 3=\$1.25$ per can

2nd:

$6.25 for 5 cans

$\$6.25\div 5=\$1.25$ per can

If x is the number of cans and y is the price of x cans, then

$y=1.25x$

This means the constant of proportionality is 1.25 and its meaning is the soup price per can

6 0

4 years ago

Write an equation of the line that passes through the points (-1,-2) and (5,1)

Volgvan

Answer:

Y=-1/2x ?

Step-by-step explanation:

There might be an y intercept. First find the slope. (Change in y over change in x) -2-1 over -1-5 then you get -3/-6. You can simplify an get -1/2. That forms an equation of y=-1/2x. That might be part of the answer. You still might need to find the y intercept, and I dont know how really. Hope this helps.

6 0

4 years ago

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