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2.4 Statistical Distributions

2.4 Statistical Distributions

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Question 158

In a manufacturing process for specialized solar cells, the probability that a cell is classified as 'High Efficiency' grade is 0.35.

Find the probability that

a.

in a random sample of 8 cells, exactly 2 are classified as High Efficiency.

[2]
b.

in a random sample of 20 cells, the number of High Efficiency cells is more than 10.

[3]
c.

A quality control manager inspects a large delivery of 400 cells.

Using a suitable approximation, determine the probability that the delivery contains fewer than 130 High Efficiency cells.

[4]
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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