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
baherus [9]
3 years ago
12

The number of electrical outages in a city varies from day to day. Assume that the number of electrical outages ( x ) in the cit

y has the following probability distribution. x f (x) 0 0.80 1 0.15 2 0.04 3 0.01 The mean and the standard deviation for the number of electrical outages (respectively) are _____. a. 0.26 and .577 b. 3 and .01 c. 2.6 and 5.77
Mathematics
1 answer:
svlad2 [7]3 years ago
7 0

Answer:

0.26 and 0.577

Step-by-step explanation:

Given :

x :___0 ___ 1 ____ 2 ____ 3

f(x):_0.80 _0.15__0.04 __0.01

The mean :

E(X) = Σ(x * p(x))

E(X) = (0*0.8) + (1*0.15) + (2*0.04) + (3*0.01)

E(X) = 0 + 0.15 + 0.08 + 0.03

E(X) = 0.26

Var(X) = Σx²*p(x)) - E(x)²

Σx²*p(x)) = (0^2*0.8) + (1^2*0.15) + (2^2*0.04) + (3^2*0.01) = 0.4

Σx²*p(x)) - E(x)² = 0.4 - 0.26² = 0.3324

Std(X) = √0.334 = 0.577

You might be interested in
What is the answer and work to this problem. <br> 4x+2y=14<br> 2x+y=7
Nimfa-mama [501]

The given system of equation has no solution.

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

<u><em>step 1</em></u><em> :</em>

The given equations are 4x + 2y = 14 and 2x + y = 7.

<u><em>step 2</em></u><em> :</em>

Let 4x + 2y = 14 be the first equation.

Let 2x + y = 7 be the second equation.

The solution (x,y) can be determined by solving the two equations, if only the given two equations are different.

<u><em>step 3</em></u><em> :</em>

In first equation taking 2 out as a common factor on both sides, the equation becomes:

2 (2x + y) = 2 (7)

So, the first equation resembles the second one.

<u><em>step 4</em></u><em> :</em>

Since both the equations are similar, they cannot be solved to get a solution. Therefore, the system of equation has no solution which is also known as inconsistent.

5 0
3 years ago
The sum of 5.75 and half a number is -5. What is the number? Please help!
barxatty [35]

Answer:

5.75 +  \frac{x}{2}  =  -  5 \\  \frac{x}{2}  =  - 5 - 5.75 \\  \frac{x}{2}  =  - 10.75 \\ x =  - 21.5

4 0
2 years ago
I need help please?!!!
Sveta_85 [38]

Answer:

(-4,14)

(which you already choose)

Step-by-step explanation:

5 0
3 years ago
The function h(t) = −16t2 + 18t models the height, in feet, reached by a leopard t seconds after it jumps. What is the approxima
S_A_V [24]

9514 1404 393

Answer:

  5 1/16 ft

Step-by-step explanation:

  h(t) = -16t(t -18/16) . . . . put in intercept form

The function describes a parabola that opens downward. It has zeros at t=0 and t=9/8. The maximum height will be found at the vertex of the parabola, halfway between these zeros.

  f(9/16) = (-16)(9/16)² +18(9/16) = 81/16 = 5 1/16 . . . . feet

The approximate maximum height of the leopard is 5 1/16 feet.

5 0
3 years ago
What is the minimum value for g(x)=x2−10x 16? enter your answer in the box.
motikmotik

The minimum value for g(x)=x² - 10x + 16 is -9

<h3>How to determine the minimum value?</h3>

The function is given as:

g(x)=x² - 10x + 16

Differentiate the function

g'(x) = 2x - 10

Set the function 0

2x - 10 = 0

Add 10 to both sides

2x = 10

Divide by 2

x = 5

Substitute 5 for x in g(x)

g(5)=5² - 10*5 + 16

Evaluate

g(5) = -9

Hence, the minimum value for g(x)=x² - 10x + 16 is -9

Read more about quadratic functions at:

brainly.com/question/7784687

3 0
2 years ago
Other questions:
  • 7/8 of a number is 63
    13·1 answer
  • What's bigger 13% or 3 over 25
    13·2 answers
  • The base of a triangular prism is a right triangle with hypotenuse 10 m long and one leg 6 M. If the height of the prism is 12 M
    5·1 answer
  • All the whole numbers that are greater than (−4) but less than 3.
    8·2 answers
  • WHAT IS THE MEDIAN FOR 280 +280 DIVIDED BY 2
    12·1 answer
  • Richard con type 30 word a minute. How many word con be typed 2.5 minute
    10·2 answers
  • If an item is on sale for 10% off and you know you will need to pay a 10% tax, will the final price of the item be less than, gr
    12·2 answers
  • Evaluate the expression <br> -(a+c) for a = 5 and c = -7 <br> plsss help
    12·1 answer
  • (-1)(-6 +3i) + (81)(-8+ 4i)
    8·1 answer
  • Find the area of the following trapezoid.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!