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2.4 Statistical Distributions

2.4 Statistical Distributions

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Question 194

The random variable XXX has a normal distribution with mean 50 and standard deviation 8.

a.

Find P(X<62.4)P(X < 62.4)P(X<62.4).

[2]
b.

Find the value of kkk such that P(X<k)=0.0668P(X < k) = 0.0668P(X<k)=0.0668.

[2]
c.

Find the value of mmm such that P(X>m)=0.0668P(X > m) = 0.0668P(X>m)=0.0668.

[2]
d.

Find P(k<X<m)P(k < X < m)P(k<X<m).

[2]
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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