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
Sholpan [36]
3 years ago
10

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 _____.

Mathematics
2 answers:
Blababa [14]3 years ago
7 0

Answer:

0.26 and 0.577

mean =0.26

Standard deviation = 0.577

Step-by-step explanation:

x       P(x)        x*P(x)              (x-μ)²                             (x -μ)²*P(x)

0       0.80       0            (0 - 0.26)² = 0.0676            0.0676*0.8 = 0.0541

1        0.15         0.15       (1 - 0.26)² = 0.5476             0.5476*0.15 = 0.0821

2       0.04        0.08       (2 - 0.26)² = 3.0276           3.0276*0.04 = 0.1211

3       0.01         0.03       (3 - 0.26)² = 7.5076           7.5076*0.01 = 0.0751

The mean μ = 0 + 0.15 + 0.08 + 0.03 =0.26

The mean μ =0.26

Variance σ² = 0.0541 + 0.0821 + 0.1211 + 0.0751 = 0.3324

Standard Deviation σ² = √σ = \sqrt{0.3324} = 0.5765 ~ 0.577

Standard Deviation σ =  0.577

Mrac [35]3 years ago
5 0

Answer:

The mean is 0.26

The standard deviation is 0.5765

Step-by-step explanation:

An image showing the step by step solution is attached.

You might be interested in
A hostel having strength of 300 students requires on an average 36000 L of water per day. It has a tank measuring 10 m × 8 m × 9
Novosadov [1.4K]

Answer:

The water in the tank filled to capacity lasts 20 days.

Step-by-step explanation:

Total number of students in the hostel = 300

The average need of water  per day = 36,000 L

The dimensions of the tank =   10 m  ×   8 m   ×   9 m

Now, the capacity of the tank = LENGTH X WIGHT X HEIGHT

     = 10 m   ×   8 m   ×   9 m =  720 cubic meters

Now, 1m^{3}   = 1,000L

⇒720 m^{3}   = 720  \times  1,000L  = 720,000L

So, the capacity of the tank = 720,000 L

and the average usage of water by 300 students = = \frac{720,000 L}{36,000 L}  = 20

⇒\textrm{The number of days water lasts}  = \frac{\textrm{Total capacity of the tank}}{\textrm{Average need of water per day}}

or, number of days = 20

Hence,  the water in the tank filled to capacity lasts 20 days.

3 0
3 years ago
Please answer correctly......Leslie has a box of markers. There are 3 black, 4 red, 2 blue, 1 brown, 2 purple, 2 yellow and 5 gr
PtichkaEL [24]

Answer:

A

Step-by-step explanation:

possible outcomes for choosing one marker is 1/19

so there for the answer is A

7 0
3 years ago
Thank you for the help guys! <br><br> Find m ABC
Akimi4 [234]
Vertical angles are equal

7x - 19 = 4x + 2
7x - 4x = 2 + 19
3x = 21
x = 21/3
x = 7

m∠ABC = 4x + 2 = 4*7 + 2 = 28 + 2 = 30°
4 0
3 years ago
A music store gives every 20th customer A $5 gift card. Every 50th customer gets A $10 gift card. Which customer will be the fir
slavikrds [6]
The 100th customer would be the first to receive both.
20×5=100
50×2=100
3 0
3 years ago
Read 2 more answers
Which fraction is larger 1/2 or 3/4
GrogVix [38]
1/2 is equivalent to 50%
3/4 is equivalent to 75%

75% > 50% (75% is larger than 50%)
75% = 3/4

The answer is 3/4
Hope the answer helps :)
4 0
3 years ago
Read 2 more answers
Other questions:
  • If the sum of a number and one is doubled​, the result is three less than the number. Find the number
    8·2 answers
  • What is 6.3 inches in feet
    14·1 answer
  • Burning one gallon of gasoline releases 20 pounds of CO2 into the air. Harry’s compact car can travel 25 miles on one gallon of
    15·1 answer
  • Find the fifth term in the sequence An=2^n
    5·1 answer
  • In the right triangle shown, m B<br> с<br> 12<br> 45<br> A<br> How long is BC?
    10·1 answer
  • The Picture has the answers and the question.
    7·1 answer
  • Simplify 8 over negative 3 divided by negative 4 over 9.<br><br> −8<br> −6<br> 6<br> 8
    9·2 answers
  • Find the volume. round your answer to the nearest hundredth
    9·1 answer
  • Jada walks dogs to earn money. The points in this graph represent the total amount of money Jada earns based on the number of ho
    14·2 answers
  • What is the opposite of 8?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!