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What is the expected value for the binomial
distribution below?
Successes
0
1
2
3
4
5
Probability
1024/3125
256/625
128/625
32/625
4/625
1/3125


What Is The Expected Value For The Binomial Distribution Below Successes 0 1 2 3 4 5 Probability 10243125 256625 128625 32625 4625 13125 class=

Sagot :

Answer: 1

Step-by-step explanation:

[tex]1=\frac{256}{625}[/tex]

Binomial Distribution:

  • The binomial distribution with parameters [tex]n[/tex] and [tex]p[/tex] is the discrete probability distribution of the number of successes in a series of [tex]n[/tex] independent experiments, each asking a yes-or-no question and each with its own Boolean-valued outcome: success (with probability p) or failure (with probability [tex]q=1p[/tex]).
  • This distribution is used in probability theory and statistics.
  • A Bernoulli trial, or experiment, is another name for a single success-or-failure experiment, and a Bernoulli process is another name for a series of results.
  • For a single trial, or [tex]n=1[/tex], the binomial distribution is a Bernoulli distribution.
  • The popular binomial test of statistical significance is based on the binomial distribution.

Therefore, the expected value for the binomial distribution below is [tex]1=\frac{256}{625}[/tex].

Know more about Binomial Distribution below:

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