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
gizmo_the_mogwai [7]
3 years ago
13

If x is a binomial random variable, compute the mean, the standard deviation, and the variance for each of the following cases:

Mathematics
1 answer:
gogolik [260]3 years ago
4 0

Answer:

(a) \mu_X=1.2, \sigma_X=0.8485, \sigma^{2} _X=0.72

(b) \mu_X=4, \sigma_X=0.8944, \sigma^{2} _X=0.8

(c) \mu_X=1.5, \sigma_X=1.0247, \sigma^{2} _X=1.05

(d) \mu_X=3.2, \sigma_X=0.8, \sigma^{2} _X=0.64

Step-by-step explanation:

A binomial random variable counts how often a particular event occurs in a fixed number of tries or trials.

For a binomial random variable X, we can use these formulas for mean, standard deviation, and variance:

\mu_X=np

\sigma_X=\sqrt{np(1-p)}

\sigma^{2} _X=np(1-p)

Applying the above formulas we get,

(a) n = 3, p = 0.4

\mu_X=3\cdot 0.4=1.2

\sigma_X=\sqrt{3\cdot 0.4(1-0.4)}=0.8485

\sigma^{2} _X=3\cdot \:0.4\left(1-0.4\right)=0.72

(b) n = 5, p = 0.8

\mu_X=5\cdot 0.8=4

\sigma_X=\sqrt{5\cdot 0.8(1-0.8)}=0.8944

\sigma^{2} _X=5\cdot \:0.8\left(1-0.8\right)=0.8

(c) n = 5, p = 0.3

\mu_X=5\cdot 0.3=1.5

\sigma_X=\sqrt{5\cdot 0.3(1-0.3)}=1.0247

\sigma^{2} _X=5\cdot \:0.3\left(1-0.3\right)=1.05

(d) n = 4, p = 0.8

\mu_X=4\cdot 0.8=3.2

\sigma_X=\sqrt{4\cdot 0.8(1-0.8)}=0.8

\sigma^{2} _X=4\cdot \:0.8\left(1-0.8\right)=0.64

You might be interested in
The sum of two consecutive integers is 7,903. What are the integers.
dimaraw [331]
The answer for the first question would be 3952+3952 =7903
5 0
3 years ago
Read 2 more answers
Draw two different shapes with a perimeter of 16 units. What is the area of each shape?
Nadusha1986 [10]

<u>Shape #1:  A square.</u> 
Every side is  4  units long. 
The perimeter is  16  units.
The area is  <em>16  </em>square units.

<u>Shape #2:  A rectangle.</u>
The length is  7.9  units.
The width is  0.1  unit.
The perimeter is  16  units.
The area is  <em>0.79</em>  of a square unit.

<u>Shape #3:  A circle.</u>
The diameter is  (16/π)  units.  (about  5.093  units)
The perimeter (circumference) is 16 units.
The area is  (64/π)  square units.          (about  <em>20.37</em>  square units)


8 0
2 years ago
Read 2 more answers
Which one have is the coldest temperature negative numbers or positive numbers
aalyn [17]

Answer:

Step-by-step explanat số âm vì số âm < số dương mà nhiệt đọ càng thấp thì càng lạnhion:

6 0
2 years ago
What is the surface area of a square pyramid with a base perimeter of 60 inches is and a slant height of 13 inches
pentagon [3]

Answer:

615 in^2

Step-by-step explanation:

The base of each triangle is 60/4 = 15 in. and the height of each triangle is 13 in.  One triangle = .5bh = .5(15)(13) = 97.5.  The lateral area = 4(97.5) = 390.  The area of the square base is 15(15) = 225.  The total area = 390 + 225 = 615 sq. in.

(Welcome to Brainly, hope I could help.)

3 0
2 years ago
Given the system of linear equations.
Degger [83]

Part(A):

To solve the system of Linear equations using Substitution:

x+y=7 \\ 2x+y=5

Consider the first equation, x+y=7 implies x=7-y

\mathrm{Subsititute\:}x=7-y

2\left(7-y\right)+y=5

14-2y+y=5

14-y=5

\mathrm{Subtract\:}14\mathrm{\:from\:both\:sides}

14-y-14=5-14

-y=-9

\mathrm{Divide\:both\:sides\:by\:}-1

y=9

\mathrm{For\:}x=7-y

\mathrm{Subsititute\:}y=9

x=7-9=-2.\mathrm{The\:solutions\:to\:the\:system\:of\:equationts\:are:}

y=9,\:x=-2

PArt(B): Use a graph to verify your answer to the system:

Using Desmos graphing calculator, graph the two equations.

8 0
3 years ago
Read 2 more answers
Other questions:
  • What is the value of y in the equation 5x + 2y =
    12·1 answer
  • What is the solution for 9 &gt; x - 7?
    15·1 answer
  • Big Nicks moving company unloaded 72 % of the 300 boxes they delivered in 30 minutes. How many boxes did they unload each minute
    12·1 answer
  • Calculate each or quotient 2 2/5 x3 1/3=
    8·1 answer
  • Graph the equation by plotting three points. if all three correct, the line will appear. -y=x+0?
    12·1 answer
  • 3. Of the 32 students in Maria's class, 14 play sports, 19 are in the band, and 6 are involved in both sports and
    7·1 answer
  • A newspaper delivery person earns $75 each day plus $0.10 per paper delivered.Which equation shows the daily earnings of a deliv
    11·1 answer
  • Can anyone help me with this please
    11·1 answer
  • A diver begins at sea level and dives down 200 feet. He ascends at a steady rate of 12
    6·1 answer
  • Divide x cubed minus 3 x squared minus 10 x + 24 by x minus 2. Step 1 - Fill in the missing number: A vertical line and horizont
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!