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Lesson 1372 of 1524

Discrete Random Variables

The probability p of a success is the same for any trial (so the probability q = 1 - p of a failure is the same for any trial)

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The probability p of a success is the same for any trial (so the probability q = 1 - p of a failure is the same for any trial) The n trials are independent and are repeated using identical conditions

There are one or more Bernoulli trials with all failures except the last one, which is a success There are only two possible outcomes called success and failure for each trial

Bernoulli trials — an experiment with the following characteristics: There are only two possible outcomes called success and failure for each trial The probability p of a success is the same for…. probability p of a success — the same for any trial (so the probability q = 1 - p of a failure is the same for any trial). n trials — independent and are repeated using identical conditions. binomial experiment — a statistical experiment that satisfies the following three conditions: There are a fixed number of trials, n There are only two possible outcomes, called success and, failure ….

Worked example

What does “Bernoulli trials” mean in Discrete Random Variables?

  1. 1Use the wording this chapter gives for Bernoulli trials.
  2. 2The book says: an experiment with the following characteristics: There are only two possible outcomes called success and failure for each trial The probability p of a success is the same for….
  3. 3Do not use the meaning of probability p of a success. That term means the same for any trial (so the probability q = 1 - p of a failure is the same for any trial).

Result: an experiment with the following characteristics: There are only two possible outcomes called success and failure for each trial The probability p of a success is the same for…

Why. That is the meaning this chapter gives for Bernoulli trials.

Do not swap Bernoulli trials and probability p of a success. Bernoulli trials means an experiment with the following characteristics: There are only two possible outcomes called success and failure for each trial The probability p of a success is the same for…. probability p of a success means the same for any trial (so the probability q = 1 - p of a failure is the same for any trial).

Practice margin

This chapter

A fresh set from this chapter only. Choose 10 or 20. Multiple choice and fill-in, with no repeat inside the set.