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
saul85 [17]
3 years ago
13

Consider a binomial experiment with n = 10 and p = 0.10. (a) Compute f(0). If required, round your answer to four decimal places

. .3487 (b) Compute f(2). If required, round your answer to four decimal places. .0043 (c) Compute P(x ≤ 2). If required, round your answer to four decimal places. 1.1666 (d) Compute P(x ≥ 1). If required, round your answer to four decimal places. (e) Compute E(x). (f) Compute Var(x) and σ. If required, round Var(x) answer to one decimal place and σ answer to four decimal places. Var(x) = σ =
Mathematics
1 answer:
ss7ja [257]3 years ago
8 0

Answer:

(a) The value of f (0) is 0.3487.

(b) The value of f (2) is 0.1937.

(c) The value of P (X ≤ 2) is 0.9298.

(d) The value of P (X ≥ 1) is 0.6513.

(e) The value of E (X) is 1.

(f) The value of V (X) is 0.9 and <em>σ</em> is 0.9487.

Step-by-step explanation:

The random variable <em>X</em> follows a Binomial distribution with parameter <em>n</em> = 10 and <em>p</em> = 0.10.

The probability mass function of <em>X</em> is:

P(X=x)={10\choose x}0.10^{x}(1-0.10)^{10-x};\ x=0,1,2,3...

(a)

Compute the value of <em>f</em> (0) as follows:

f (0) = P (X = 0)

       ={10\choose 0}0.10^{0}(1-0.10)^{10-0}\\=1\times 1\times 0.348678\\=0.348678\\\approx0.3487

Thus, the value of f (0) is 0.3487.

(b)

Compute the value of <em>f</em> (2) as follows:

f (2) = P (X = 2)

       ={10\choose 2}0.10^{2}(1-0.10)^{10-2}\\=45\times 0.01\times 0.43047\\=0.1937115\\\approx0.1937

Thus, the value of f (2) is 0.1937.

(c)

Compute the value of P (X ≤ 2) as follows:

P (X ≤ 2) = P (X = 0) + P (X = 1) + P (X = 2)

              =\sum\limits^{0}_{2} {{10\choose x}0.10^{x}(1-0.10)^{10-x}}\\=0.3487+0.3874+0.1937\\=0.9298

Thus, the value of P (X ≤ 2) is 0.9298.

(d)

Compute the value of P (X ≥ 1) as follows:

P (X ≥ 1) = 1 - P (X < 1)

             = 1 - P (X = 0)

             = 1 - 0.3487

             = 0.6513

Thus, the value of P (X ≥ 1) is 0.6513.

(e)

Compute the expected value of <em>X</em> as follows:

E(X)=n\times p

         =10\times 0.10\\=1

Thus, the value of E (X) is 1.

(f)

Compute the variance of <em>X</em> as follows:

V(X)=np(1-p)

         =10\times 0.10\times (1-0.10)\\=0.90

Compute the standard deviation of <em>X</em> as follows:

SD(X)=\sqrt{V(X)}

           =\sqrt{0.90}\\=0.94868\\\approx0.9487

Thus, the value of V (X) is 0.9 and <em>σ</em> is 0.9487.

You might be interested in
Tell me the answer and help me explain please
DENIUS [597]

Answer:

The answer is 9/10

Step-by-step explanation:

8/10 is the same thing as ⅘, ⅘ is just simplified

⅖ is less than ⅘ so it would come before c

6/5 is more than 1 so it wouldn’t be on that number line.

6 0
2 years ago
Read 2 more answers
×WILL MARK AS BRAINLIEST×<br>Solve the equation for b, d and x
Lera25 [3.4K]
Solve for d:
(3 (a + x))/b = 2 d - 3 c
(3 (a + x))/b = 2 d - 3 c is equivalent to 2 d - 3 c = (3 (a + x))/b:
2 d - 3 c = (3 (a + x))/b
Add 3 c to both sides:
2 d = 3 c + (3 (a + x))/b
Divide both sides by 2:
Answer: d = (3 c)/2 + (3 (a + x))/(2 b)


-----------------------------

Solve for x:
(3 (a + x))/b = 2 d - 3 c
Multiply both sides by b/3:
a + x = (2 b d)/3 - b c
Subtract a from both sides:
Answer:  x = (2 b d)/3 + (-a - b c)

____________________________


Solve for b:
(3 (a + x))/b = 2 d - 3 c
Take the reciprocal of both sides:
b/(3 (a + x)) = 1/(2 d - 3 c)
Multiply both sides by 3 (a + x):
Answer: b = (3 (a + x))/(2 d - 3 c)
5 0
3 years ago
Which operation would you do third in the following problem?
Anastasy [175]

Answer:

multiplication

Step-by-step explanation:

it seems the best

6 0
2 years ago
Which statement is true ?
8090 [49]

Answer:

f(x)=4x^2

f(2)=4(2)^2

f(2)=4(4)

f(2)=16

2. g(x)=4*2^x

g(2)=4*2^2

g(2)=4*4

g(2)=16

f(2)=g(2)

Both is equal to 16

I hope this help you :)

Step-by-step explanation:

8 0
3 years ago
Please look at the image below for the question.
zloy xaker [14]
The answer would be “stu”
8 0
2 years ago
Other questions:
  • How do you substitute 5x+4y=0 , x-y=9
    15·1 answer
  • State whether each percent of change is a percent of increase or a percent of decrease. Then find each percent of change. Round
    11·1 answer
  • What percent is equivalent to .41
    5·1 answer
  • What is the equation and the slope of each of the following lines ?
    7·2 answers
  • What is the slope in the following equation:
    10·1 answer
  • Hey i need help with these thanks show work
    13·2 answers
  • During a sale at the market​, steaks sold for ​$2 and watermelons sold for ​$1.50. Declan spent ​$10 and bought a total of 6 ste
    8·1 answer
  • Which bulb would be better to use on the factory floor
    11·1 answer
  • Write the sentence as an equation,<br><br> Four times the difference of -10 and 3 amounts to -52.
    10·1 answer
  • Domain and range of this graph
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!