1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sammy [17]
3 years ago
8

Your school wants to test the fire alarm system during the two hour period between 9:00 a.M. And 11:00 a.M. The probability of t

esting the fire alarm during this period is uniformly distributed that is X∼U(0,120). Find the probability that you have to wait more than 30 minutes, that is, find P(X>30).
Mathematics
1 answer:
UkoKoshka [18]3 years ago
7 0

Answer:

The probability is P(X>30)=0.75

Step-by-step explanation:

We know that the probability of testing the fire alarm during this period is uniformly distributed that is X ~ U(0,120).

We need to find P(X>30)

Given a continuous random variable X with distribution :

X ~ U(a,b) , where ''a'' and ''b'' are real numbers

The probability density function is :

f_{X}(x)=\frac{1}{b-a}    if x ∈ (a,b)

f_{X}(x)=0  if x ∉ (a,b)

In the exercise we have X ~ U(0,120) , therefore the probability density function is :

f_{X}(x)=\frac{1}{120} if x ∈ (0,120)

f_{X}(x)=0 if x ∉ (0,120)

If we want to find P(X>30) we need to perform the integral

\int\limits^i_d {f_{X}(x)} \, dx

Where d=30 and ''i'' represents + ∞

Now, given that f_{X}(x) is 0 when x ∉ (0,120), we will need to integrate between 30 and 120 to find the probability.

If we perform this integral ⇒

\int\limits^e_d {\frac{1}{120}} \, dx

Where d=30 and e=120 ⇒

\int\limits^e_d {\frac{1}{120}} \, dx=\frac{3}{4}=0.75

You might be interested in
find another real life situation that can be written as an inequality in one variable explain the situation,write the equation a
drek231 [11]
I am really sorry but I couldn’t find the answer
5 0
3 years ago
F(y) = y2 +3 , at y = 2
laila [671]

Answer:

f

Step-by-step explanation:

4 0
4 years ago
Can anyone help me out on this not too sure on this
Paraphin [41]

Answer:

y = 0.1x - 4

Step-by-step explanation:

Given the following data;

Points on the x-axis (x1, x2) = (-3, 7)

Points on the y-axis (y1, y2) = (-7, -6)

First of all, we would find the slope;

Mathematically, slope is given by the formula;

Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis}

Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}}

Substituting into the equation, we have;

Slope = (-6 - (-7))/(7 - (-3))

Slope = (-6 + 7)/(7 + 3)

Slope = 1/10

Slope = 0.1

Next, we would write the equation using the formula;

y - y1 = m(x - x1)

y - (-7) = 0.1(x - (-3))

y + 7 = 0.1(x + 3)

y + 7 = 0.1x + 3

y = 0.1x + 3 - 7

y = 0.1x - 4

5 0
3 years ago
Rewrite the following as a base-ten numeral: 3(10)^3+5(10)^2+6(10)
Setler [38]

3000 + 500 + 60 = 3560

_____

Your calculator can help you out here if you really have no idea that the exponent of 10 tells you the number of zeros: 10^3 = 1000.

8 0
3 years ago
Read 2 more answers
The sporting goods store sells 6 different brands of tennis rackets and 4 different brands of tennis balls. If Amanda buys one b
monitta

Answer:

24

Step-by-step explanation:

There are 6 different types of rackets and 4 different types of balls.

To determine the number of different combinations

6 rackets * 4 balls

24 combinations

7 0
3 years ago
Other questions:
  • The length of a Rectangle is 4 inches more than the with the perimeter is 4 inches find the length and the width
    14·1 answer
  • Pls help me i have tried to answer this so many times and i’m never right
    12·2 answers
  • for the given function, determine consecutive values of x between which each real zero is located. f(x)=-14x^4-7x^3-18x^2+17x+11
    13·1 answer
  • 2/3x - 2 = 7 need help please I aint that good at math
    15·1 answer
  • Give the slope of a line parallel to the given line.
    10·1 answer
  • Juan has 36 in of string how many 3 and 1/4 in pieces can one cut from the string? a. 8 b.9 c.11 d.12?​
    10·2 answers
  • suppose there is a 1.9 Fahrenheit drop in the temperature for every thousand feet that an airplane climbs into the sky if the te
    9·1 answer
  • A carpenter is creating two new templates for his designs. One template will be in the shape of a right triangle, where the long
    5·1 answer
  • Three tennis balls are stored in a cylindrical can with
    12·1 answer
  • From a group of 13 women and ​12 men, a researcher wants to randomly select 8 women and 8 men for a study. In how many ways can
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!