In this lesson, we will learn how to identify binomial experiments and how to solve probability problems of binomial random variables.

Q1:

Decide if the following experiment is a binomial experiment: drawing cards from a deck of 52 cards to see how many times the number 5 appears.

If it is, state the probability of a success as a fraction.

Q2:

Follow the steps to construct a binomial experiment to find the experimental probability of rolling two dice and obtaining two numbers which sum to more than 10.

One trial of the experiment would be rolling two dice and we will conduct 25 trials. How would we define success for each trial?

State the probability, 𝑝, of a success as a fraction in its simplest form.

State the probability of a failure.

Describe the random variable 𝑋 in this experiment, which is binomially distributed.

Q3:

In a binomial experiment, this spinner is spun 10 times and the result is recorded as a success if the top score is achieved.

Let 𝑋 be the number of successes.

Determine 𝑃(𝑋=2) as a percentage to 3 decimal places.

Determine 𝑃(𝑋=9) as a percentage to 3 decimal places.

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