4.8 Binomial distribution

4.8 Binomial distribution Quiz

IB Maths: Applications and Interpretation HL: Quiz

Studying this course? Keep your progress in one place.

Pick an answer for each. Quizzes never use energy.

5 questions, one answer each

Each answer is checked as you go, with why.

See all 5 questions

  1. 1. Which situation is best modelled by a binomial distribution?

    • A. The heights of 20 students
    • B. The number of cards drawn without replacement until an ace appears
    • C. The number of sixes in 10 rolls of a fair die
    • D. The time taken to run 100 m

  2. 2. X∼B(10,0.3)X\sim\mathrm{B}(10,0.3). Find E(X)\mathrm{E}(X).

    • A. 33
    • B. 0.30.3
    • C. 77
    • D. 2.12.1

  3. 3. X∼B(20,0.4)X\sim\mathrm{B}(20,0.4). Find Var(X)\mathrm{Var}(X).

    • A. 88
    • B. 1212
    • C. 0.480.48
    • D. 4.84.8

  4. 4. X∼B(n,p)X\sim\mathrm{B}(n,p). Which expression equals P(X≥3)P(X\geq3)?

    • A. 1−P(X≤3)1-P(X\leq3)
    • B. 1−P(X≤2)1-P(X\leq2)
    • C. P(X≤3)P(X\leq3)
    • D. 1−P(X=2)1-P(X=2)

  5. 5. A student guesses 40 questions, each with probability 0.250.25 of being correct. The expected number correct is

    • A. 11
    • B. 3030
    • C. 1010
    • D. 0.250.25

Quiz