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Grade 12

Features of Binomial Distributions

Interactive practice questions

Assume $6%$6% of the Australian population, which was approximately $22$22 million people in 2016, contract influenza each year.

How many people would the Department of Health expect to have contracted the flu in 2016? Round your answer to the nearest whole number if necessary.

Easy
1min

A certain disease has a survival rate of $64%$64%. Of the next $110$110 people who contract the disease, how many would you expect to survive? Round your answer to the nearest whole number.

Easy
< 1min

The probability of a particular tennis player getting their first serve in is $0.72$0.72. If she serves $90$90 times in a match, how many times would she expect to get her first serve in?

Easy
< 1min

A subject exam consists of $48$48 multiple choice questions. Each question has $4$4 options, of which $1$1 is correct. Neville guessed the answers to all of the questions.

How many questions would he expect to get correct?

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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