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
Zinaida [17]
3 years ago
6

Let the probability of success on a Bernoulli trial be 0.26. a. In five Bernoulli trials, what is the probability that there wil

l be 4 failures
Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
4 0

Answer:

0.3898 = 38.98% probability that there will be 4 failures

Step-by-step explanation:

A sequence of Bernoulli trials forms the binomial probability distribution.

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.

Let the probability of success on a Bernoulli trial be 0.26.

This means that p = 0.26

a. In five Bernoulli trials, what is the probability that there will be 4 failures?

Five trials means that n = 5

4 failures, so 1 success, and we have to find P(X = 1).

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

P(X = 1) = C_{5,1}.(0.26)^{1}.(0.74)^{4} = 0.3898

0.3898 = 38.98% probability that there will be 4 failures

You might be interested in
Function: y = 2(x + 3)² +1
erastovalidia [21]

Answer:

10x

Step-by-step explanation:

3 0
3 years ago
Solve for y 6(0.6)= Y(..25)
vova2212 [387]
14.4 is your answer for y

6 0
3 years ago
3, -2, -7,...<br> what is the common difference of this arithmetic sequence
worty [1.4K]

Answer: -5

Step-by-step explanation: The common difference is the same number we are adding each time to get from one term to the next.

In this sequence, we are adding -5 each time

so our common difference is -5.

7 0
2 years ago
What is the average rate of change of the function over the interval x = 0 to x = 8? f(x)=2x−1/3x+5 Enter your answer, as a frac
max2010maxim [7]

Answer:

15 2/3, or 47/3


Step-by-step explanation:

I'm going to assume, correctly or not, that you actually meant f(x) = 2x^2 - (1/3)x + 5.  Double check on this right now, please.

If I'm right, then evaluate f(x) at x = 0 and x = 8:

f(0) = 5

and

f(8) = 2(8)^2 - (1/3)(8) + 5 = 128 - 8/3 + 5 = 133  - (2 2/3), or:   130 1/3

Then the average rate of change of f(x) = 2x^2 - (1/3)x + 5 over the interval [0,8] is:

                130 1/3 - 5         125 1/3

a. r. c. = ------------------- = ---------------- = 15 2/3, or 47/3

                     8 - 0                  8

3 0
3 years ago
What is equivalent to 6/8
Liono4ka [1.6K]
3/4 is the reduced form, also 12/16 is each doubled
3 0
3 years ago
Read 2 more answers
Other questions:
  • Given a square with two vertices of one side located at (-5, -3) and (-5, 12), in square units what is its area?
    10·1 answer
  • Which statement is true about the following system of equations?
    7·1 answer
  • Why the following triangles are congruent!
    9·1 answer
  • |2x+5|=9 how do i solve this
    15·1 answer
  • If 6 families share 20 pounds of ham, between what two whole numbers will each family share
    12·1 answer
  • Hi i need help i have class in 30 min! &lt;3
    7·1 answer
  • Can someone explain this to me pweaseee
    14·1 answer
  • Help!!! Which equation is represented by the graph below?
    14·1 answer
  • The point (8, –8) is located in which quadrant?
    13·2 answers
  • The fully simplified form of 2ab÷(8a) is:
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!