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
katrin2010 [14]
3 years ago
10

Let x ∼ bin(9, 0.4). find

Mathematics
1 answer:
Kobotan [32]3 years ago
6 0
A.
\mathbb P(X>6)=\mathbb P(X=7)+\mathbb P(X=8)+\mathbb P(X=9)
=\dbinom97(0.4)^7(1-0.4)^{9-7}+\dbinom98(0.4)^8(1-0.4)^{9-8}+\dbinom99(0.4)^9(1-0.4)^{9-9}
\approx0.025

b.
\mathbb P(X\ge2)=1-\mathbb P(X
=1-\dbinom90(0.4)^0(1-0.4)^{9-0}-\dbinom91(0.4)^1(1-0.4)^{9-1}
\approx0.929

c.
\mathbb P(2\le X
=\dbinom92(0.4)^2(1-0.4)^{9-2}+\dbinom93(0.4)^3(1-0.4)^{9-3}+\dbinom94(0.4)^4(1-0.4)^{9-4}
\approx0.663

d.
\mathbb P(2
=\dbinom93(0.4)^3(1-0.4)^{9-3}+\dbinom94(0.4)^4(1-0.4)^{9-4}+\dbinom95(0.4)^5(1-0.4)^{9-5}
\approx0.669

e.
\mathbb P(X=0)=\dbinom90(0.4)^0(1-0.4)^{9-0}\approx0.01

f.
\mathbb P(X=7)=\dbinom97(0.4)^7(1-0.4)^{9-7}\approx0.021

g, h.
For X\sim\mathcal B(n,p), recall that \mathbb 
E[X]=\mu_X=np and \mathbb V[X]={\sigma_X}^2=np(1-p). So

\mu_X=9(0.4)=3.6
{\sigma_X}^2=9(0.4)(0.6)=2.16
You might be interested in
to solve the following equation , 7x - 2 = 12 , which of the choices below is a correct method to find the value of X
Daniel [21]

The Answer:the answer is D

Step-by-step explanation:

4 0
2 years ago
twice the number of donuts was only 6 less than 24 times the number of cream puffs. 10 times the number of cream puffs was only
Karolina [17]

donuts and cream puffs were  45 & 4 respectively !

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

Here we have , twice the number of donuts was only 6 less than 24 times the number of cream puffs. 10 times the number of cream puffs was only 5 less than the number of donuts   We need to find how many donuts and cream puffs were there . Let's find out:

Let number of donuts and cream puffs are x & y respectively ! So ,

  • twice the number of donuts was only 6 less than 24 times the number of cream puffs

According to this statement equation is :

⇒ 2x=24y-6

⇒ x=12y-3            ................(1)

  • 10 times the number of cream puffs was only 5 less than the number of donuts

According to this statement equation is :

⇒ 10y= x-5

⇒ x=10y+5               ................(2)

Equation (1) & (2) :

⇒ 12y-3=10y+5

⇒ 2y=8

⇒ y=4

Putting  y=4 in  x=12y-3  :

⇒ x = 12(4)-3

⇒ x = 45

Therefore , donuts and cream puffs were  45 & 4 respectively !

7 0
3 years ago
In the picture below, what is the approximate area that is shaded blue?
Iteru [2.4K]

I think it’s C sorry if I’m wrong

7 0
3 years ago
answer to #10 and #13. can’t figure out how to use interval notation to write domain and range for graphs.
Lyrx [107]
Interval notation is used to write a set of real numbers from one value to another value.
On the left, you start with left parenthesis or left bracket.
Then you follow by two numbers separated by a comma.
You then finish with a right parenthesis or right bracket.
To include a number, use a square bracket.
To exclude a number use parenthesis.
To write the set of numbers, you need to list the smallest number in the set followed by the largest number in the set. An interval is always stated with two numbers, from the smallest in the set to the largest in the set. The numbers are always separated by a comma.

Examples:

1) All numbers from 6 to 10, including 6 and 10.
Algebra: 6 <= x <= 10
Interval: [6, 10]
Notice brackets since both 6 and 10 are included in this interval.

2) All number from 5 to 20, including 5 but not including 20.
Algebra 5 <= x < 20
Interval: [5, 20)
Bracket with 5 means include 5. Parenthesis with 20 means 20 is not included.

3) All numbers greater than or equal to 7.
Algebra: x >= 7
Interval: [7, ∞)
The 7 has a bracket because it is included. Infinity always has parenthesis.
With the infinity symbol, always use parenthesis, not square bracket.

4) All numbers less than -5.
Algebra: x < - 5
Interval: (-∞, 5)

Now for your problems.

10.
This is a line. Both the domain and range all all real numbers.
That means the interval is from negative infinity to positive infinity.
(-∞, ∞)
Both the domain and range are that same interval, all real numbers, from negative infinity to positive infinity.

13.
The domain is all real numbers as you can see the x-coordinates extend left forever and right forever. The domain is the same interval as the domain and range of problem 10.

The range is zero and all positive numbers.
You can think of it a all values of y such that y is greater than or equal to zero. Notice that zero is included in the interval.

[0, ∞)

Since zero is included, we use a left bracket, not left parenthesis.
With infinity, we alyways use parentheses, not brackets.
8 0
2 years ago
A garrison of 400men had food for 40days.After 10 days,200 more men joined them .How long will the food last now?(Assume that th
mestny [16]

Let x be the amount of food needed for one man for one day. At the beginning, we have enough food for 400 men for 40 days, i.e.

400\cdot 40\cdot x = 16000x

After 10 days, the 400 men will have consumed

400\cdot 10\cdot x = 4000x

food, impliying that the food remaining is

16000x-4000x=12000x

If 200 more men join the garrison, there are now 600 men. Each of them requires x food each day, and there are 12000x units of food remaining. They will last

\dfrac{12000x}{600}=20 days.

6 0
3 years ago
Other questions:
  • Please help me ASAP<br> Thanks
    7·2 answers
  • Circle X is shown. Points W, Y, and Z are on the circle. Lines are drawn through each point on the circle.
    11·2 answers
  • What is the solution to 2(6x+10)-3x=10-(x-2)
    5·1 answer
  • What is 180 - 15% = ?
    12·2 answers
  • PLEASE HELP!!!
    13·1 answer
  • Rosa earns $120 per week tutoring math. Each week, she puts $36 from her paycheck in a
    12·2 answers
  • Simplify by combining like terms:​
    12·1 answer
  • Find length of AC? Help please
    13·2 answers
  • HELP HELP HELP WILL GIVE BRAINLIEST
    13·2 answers
  • The cross country team practice by jogging on town steerts the average jogging rate is 6 mile per hour one member jogged for 3.5
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!