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
mash [69]
3 years ago
11

Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following p

robability, given the number of trials and
the probability of obtaining a success. Round your answer to four decimal places
PCX > 4), n-8.p -0.7
Mathematics
1 answer:
faltersainse [42]3 years ago
4 0

Answer:

P(X > 4) = 0.8059

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 question, we have that:

n = 8, p = 0.7

We want:

P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8)

In which

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

P(X = 5) = C_{8,5}.(0.7)^{5}.(0.3)^{3} = 0.2541

P(X = 6) = C_{8,6}.(0.7)^{6}.(0.3)^{2} = 0.2965

P(X = 7) = C_{8,7}.(0.7)^{7}.(0.3)^{1} = 0.1977

P(X = 8) = C_{8,8}.(0.7)^{8}.(0.3)^{0} = 0.0576

Then

P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) = 0.2541 + 0.2965 + 0.1977 + 0.0576 = 0.8059

So

P(X > 4) = 0.8059

You might be interested in
Evaluate the following when x = 3<br> 2x+ 5(x)
Nina [5.8K]

Hi!

I can help you with joy!

Evaluate:

\fbox{2x+5x} when \fbox{x=3}

First, add x's:

\rm{7x}

Now, plug in the value of x (3)

\rm{7(3)

Multiply:`

\rm{21} (Answer)

Hope it helps!

Ask me if you have any doubts.

  • Enjoy Your Day/Night! :)

<em>Answered by</em>

<em>~</em>Silent~

4 0
2 years ago
Find an ordered pair (x, y) that is a solution to the equation.<br><br> 5x-y=5<br><br> (x, y) = ?
Sonja [21]
Hi there!

There are multiple solutions to your question. Some possible solutions could be the following:
(0, -5)
(1, 0)
(2, 5)
8 0
3 years ago
What’s the answer to.... Add j to 1
gulaghasi [49]

Answer:

idk bro but ily

Step-by-step explanation:

6 0
3 years ago
If 8x + 6y = 24, what is y in terms of x ?
USPshnik [31]

Step-by-step explanation:

8x+6y=24

6y=24-8x

y=24/6 - 8/6x

y=4-4/3x

6 0
2 years ago
Uma wrote the following. 15=x x=15 Which property of equality did she use?
lbvjy [14]
That would be the symmetric property of equality
5 0
3 years ago
Read 2 more answers
Other questions:
  • Andrew is paid $4 per hour for the first 30 hours he works each week. He makes $5 per hour for each hour he works over 30 hours
    12·1 answer
  • A boat costs $11,850 and decreases in value by 10% per year. How much will the boat be worth after 8 years?
    5·2 answers
  • the Function h(x)=1/2(x+3)^2+2. How is the graph of h(x) translated from the parent graph of a qaudratic function, f(x)=x^2
    9·2 answers
  • CAN SOMEONE PLEASE HELP ME???
    8·2 answers
  • A researcher found a study relating the distance a driver can see, y, to the age of the driver, x. When researchers looked at th
    14·1 answer
  • One number is 8 less than a second number. Twice the second number is 52 more than 5 times the first. Find the smaller of the tw
    15·2 answers
  • Solve the system of equations.
    11·1 answer
  • Mike jogged 6 laps around a 0.25 mile track on Monday and 7 laps on Tuesday. How many miles did he jog on Monday and Tuesday com
    11·2 answers
  • Given the Trapezoid ABCD<br><br> Find the length of AD <br><br> Pls hellpppp
    9·1 answer
  • Express the vector (-1,5,-6) in R^3 as a linear combination of (2,0,7),(2,4,5) and (2,-12,13).
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!