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CanadaON
Grade 12

Problems with Binomial Distributions

Interactive practice questions

Which of the following statements is true?

In a binomial experiment, there are $n$n repeated, dependent trials.

A

In a binomial experiment, there are $n$n repeated, independent trials.

B

In a binomial experiment, there are exactly two trials.

C

In a binomial experiment, there is exactly one trial.

D
Easy
< 1min

Which of the following statements is true?

Easy
< 1min

Consider the binomial probability formula

$P\left(x\right)=\nCr{n}{x}p^x\left(1-p\right)^{n-x}$P(x)=nCxpx(1p)nx,

where $P\left(x\right)$P(x) is the probability of obtaining $x$x successes in $n$n independent trials.

Easy
< 1min

A particular nationwide numeracy test has a failure rate of $30%$30%.

If you randomly selected $100$100 students from across the country to do the test, how many would you expect to pass?

Easy
< 1min
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Outcomes

12D.B.1.4

Recognize conditions (e.g., independent trials) that give rise to a random variable that follows a binomial probability distribution, calculate the probability associated with each value of the random variable, represent the distribution numerically using a table and graphically using a probability histogram, and make connections to the algebraic representation P(X=x)=nCr(n, x) p^x (1-p)^(n-x)

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