Helppppppppppppppp pleaseeeeee fasttttt with problem 4

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

In what way is five groups of two different from two groups of five ?

Pavel [41]

Answer:

Five groups of two means, two people in each group, in total there are five groups.

Two groups of five means, five people in each group, in total there are two groups.

Step-by-step explanation:

Two groups have five people.

Five groups have two people.

7 0

3 years ago

Read 2 more answers

If f(x) = 3x^2+ 3x^(1/2) + 3x, then f(-9) is equal to

ivanzaharov [21]

Since

$f(x)=3x^2+3\sqrt{x}+3x$

the domain of f(x) is the set of non-negative integers, because we can't feed a square root with negative inputs. So, you couldn't comput f(-9)

Unless you're allowed to use complex numbers, in that case we have

$f(-9)=3\cdot (-9)^2+3\sqrt{-9}+3\cdot (-9)=3\cdot 81+3\cdot (9i)-27$

Which evaluates to

$243+27i-27=216+9i$

5 0

3 years ago

A sporting goods store is offering a 10% discount on in-line skates that normally cost $110.99. How much will the in-line skates

IgorLugansk [536]

Answer:

$90.90

Step-by-step explanation:

The item normally costs $110.99. If the sporting goods store is offering a 10% discount, it means that the price including the discount will be:

$110.99 x 0.90 = $99.891.

the in-line skates cost with the discount $99.89, not including taxes.

5 0

3 years ago

If a = B and B= c then a = c which best describes the statement given below

makvit [3.9K]

Answer:

A=B=C

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6 0

2 years ago