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]
3 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]3 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
Last year, the school library had a total of x books. Over the summer, the library acquired another 31 books and now has a total
tester [92]

Answer:

A is your answer.

Step-by-step explanation:

6 0
3 years ago
Aaron, Bonny and Connor are playing a game with cards.
professor190 [17]

Let the number of cards Aaron has : A

Given :

⊕   Bonny has twice as many cards as Aaron

⊕   Connor has 6 cards more than Bonny

⊕   Total cards : 101

⇒  Number of cards Bonny has : 2A

⇒  Number of cards Connor has : 2A + 6

⇒   Aaron cards + Bonny cards + Connor cards = 101

⇒   A + 2A + 2A + 6 = 101

⇒   5A = 101 - 6

⇒   5A = 95

⇒   A = 19

<u>Answer</u> : Aaron has 19 Cards

6 0
2 years ago
A computer code is based on the prime facttorization of 160. find the prime factorization of 160
igor_vitrenko [27]
Prime factorization of 160 = 2 x 2 x 2 x 2 x 2 x 5
3 0
3 years ago
Compare the ratios 4:5 and 16:20.
Nuetrik [128]

i think its >

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Triangle ABC is similar to triangle DEF. If angle A measures 35 degrees and angle E measures 40 degrees, what is the measure of
fredd [130]
All triangles have angles that sum to 180 degrees.
So,
Angle C = 180 - 35 - 40
Angle C = 105 degrees

3 0
2 years ago
Read 2 more answers
Other questions:
  • Mrs. Yamaguchi's class weighed the potatoes that they grew in their garden and recorded the data in a table. What are the least
    13·1 answer
  • Can someone plz help me?
    7·1 answer
  • an airplane is 4,000 feet above the ground .it begins to descend at a rate of 140 feet per minute.how many minutes will it take
    10·1 answer
  • A group of 3 children and 2 adults pay a total of $120 to take a karate class. A group of 5 children and 1 adult take the same k
    14·1 answer
  • Solve the right triangle below. Round all your answers to the nearest tenth. Measure of angle X = ______
    10·1 answer
  • Triangle ABC was dilated around the origin by a scale factor of 2. The
    6·2 answers
  • Help me and thx alot
    8·1 answer
  • List the numbers in order from least to greatest:<br><br> -4, -9/4, 1/2, 3.7,
    8·2 answers
  • 4y/5 - 14/15 = 3/4<br><br> The answer is 2, how?
    10·1 answer
  • one end of a tent is a triangle. the height of the triangle is 1.5 m and the base is 2.5 m. what is the area of the triangle?​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!