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2.4 Statistical Distributions

2.4 Statistical Distributions

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Question 215

The random variable X X\,X has the distribution X∼B(36,0.22)X \sim B(36, 0.22)X∼B(36,0.22).

a.

Find P(X=8)P(X=8)P(X=8).

[1]
b.

Find P(X≤3)P(X\le3)P(X≤3).

[1]
c.

Find P(X<7)P(X < 7)P(X<7).

[1]
d.

Find P(X≥6)P(X \ge 6)P(X≥6).

[2]
e.

Find P(7≤X≤12)P(7 \le X \le 12)P(7≤X≤12).

[1]
Markscheme

2.4 Statistical Distributions Questions

  1. A Level
  2. /Maths
  3. /2.4 Statistical Distributions

390 exam-style questions on OCR A Level Maths 2.4 Statistical Distributions, covering 2.4.1 Discrete probability distributions, 2.4.2 Binomial distribution as a model, 2.4.3 Calculating binomial probabilities, 2.4.4 Mean and variance of the binomial (A-level only), 2.4.5 Normal distribution as a model (A-level only), 2.4.6 Probabilities using the normal distribution (A-level only), 2.4.7 Links to histograms, mean and standard deviation (A-level only), and 2.4.8 Selecting an appropriate distribution (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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