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
Nataliya [291]
4 years ago
9

Assume that a procedure yields a binomial distribution with a trial repeated n = 5 times. Use some form of technology to find th

e probability distribution given the probability p = 0.517 of success on a single trial. (Report answers accurate to 4 decimal places.) k P(X = k) 0 1 2 3 4 5
Mathematics
1 answer:
Digiron [165]4 years ago
6 0

Answer:

P(X = 0) = 0.0263

P(X = 1) = 0.1407

P(X = 2) = 0.3012

P(X = 3) = 0.3224

P(X = 4) = 0.1725

P(X = 5) = 0.0369

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

n = 5, p = 0.517

Distribution

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{5,0}.(0.517)^{0}.(0.483)^{5} = 0.0263

P(X = 1) = C_{5,1}.(0.517)^{1}.(0.483)^{4} = 0.1407

P(X = 2) = C_{5,2}.(0.517)^{2}.(0.483)^{3} = 0.3012

P(X = 3) = C_{5,3}.(0.517)^{3}.(0.483)^{2} = 0.3224

P(X = 4) = C_{5,4}.(0.517)^{4}.(0.483)^{1} = 0.1725

P(X = 5) = C_{5,5}.(0.517)^{5}.(0.483)^{0} = 0.0369

You might be interested in
Can someone please help me
Vesnalui [34]

Answer:

B

Step-by-step explanation:

Cos(0)=1

since the diagram shows x as (1,0)

8 0
2 years ago
solve the following and explain your steps. Leave your answer in base-exponent form. (3^-2*4^-5*5^0)^-3(4^-4 over 3^3)*3^3 Pleas
Jobisdone [24]

Answer:

  3^64^{11}

Step-by-step explanation:

It appears you're trying to simplify ...

  (3^{-2}4^{-5}5^0)^{-3}\cdot\dfrac{4^{-4}}{3^3}\cdot 3^3

The final factor cancels the denominator of the fraction, so we have ...

  3^{(-2)(-3)}4^{(-5)(-3)-4}=3^64^{11}

_____

The applicable rules of exponents are ...

  (ab)^c = (a^c)(b^c)

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

4 0
4 years ago
An investor bought 500 shares of stock, some at $6.25 per share and some at $6.50 per share. If the total cost was $3218.75, how
Rudiy27

Step-by-step explanation:

x = amount of shares for $6.25

y = account of shares for $6.50

x + y = 500

x×6.25 + y×6.5 = 3218.75

x = 500 - y

(500 - y)×6.25 + y×6.5 = 3218.75

3125 - y×6.25 + y×6.5 = 3218.75

0.25×y = 93.75

y = 375

x = 500 - 375 = 125

so, he bought

375 shares of $6.50

125 shares of $6.25

4 0
3 years ago
I just need some help solving this question, i’m not sure what to do
KonstantinChe [14]

From the double-angle identity,

cos2x=2*sinx*cosx

we can rewritte our given equation as:

4sinxcosx-2cosx=0

By factoring 2cosx on the left hand side, we have

2cosx(2sinx-1)=0

This equation has 2 solutions when

\begin{gathered} cosx=0\text{ ...\lparen A\rparen} \\ and \\ 2sinx-1=0\text{ ...\lparen B\rparen} \end{gathered}

From equation (A), we obtain

x=\frac{\pi}{2}\text{ or }\frac{3\pi}{2}

and from equation (B), we have

\begin{gathered} sinx=\frac{1}{2} \\ which\text{ gives} \\ x=\frac{\pi}{6}\text{ or }\frac{5\pi}{6} \end{gathered}

On the other hand, we can find one more solution from the original equation by substituting x=0, that is,

\begin{gathered} 2ccos(2\times0)-2cos0=0 \\ which\text{ gives} \\ 2\times1-2\times1=0 \\ so\text{ 0=0} \end{gathered}

then, x=0 is another solution. In summary, we have obtained the following solutions:

\begin{gathered} x=0 \\ x=\frac{\pi}{2}\text{or}\frac{3\pi}{2}\text{ and } \\ x=\frac{\pi}{6}\text{or}\frac{5\pi}{6} \end{gathered}

However, the intersection of the last set is empty. So the unique solution is x=0 as we can corroborate on the following picture:

Therefore, the solution set is: {0}

7 0
1 year ago
The square root of four more than three times a number is seven. Find the number.
faltersainse [42]

Answer:

Yup the answer is 15!

Step-by-step explanation:

(3x + 4)^(1/2) = 7  

3x + 4 = 49  

3x = 45

x = 15

5 0
3 years ago
Read 2 more answers
Other questions:
  • Please help with this
    12·2 answers
  • How much would $700 be worth after 8 years, if it were invested at 5%
    14·1 answer
  • Solve for X. Show all work! Pleasseeee help meeeee!
    8·1 answer
  • Use a calculator to find the values of the inverse trigonometric functions. Round to the nearest degree.
    7·2 answers
  • Yooo help me i need help on ixls no cap
    15·1 answer
  • Please help...<br><br> Increase £12.80 by 15%
    14·1 answer
  • PLS HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
    9·1 answer
  • Question 2 2 points)
    10·1 answer
  • 17 = -47 + 6.98x. solve the equation. round your answer to the nearest hundredth
    13·2 answers
  • So if you need 30 juices but you can buy 10 juices for 2.43 how much does it cost for 1 juice?​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!