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2.4 Probability Distributions

2.4 Probability Distributions

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Question 151

The tensile strength, SSS Newtons (N), of a particular type of fiber-optic cable is modeled by a normal distribution with a mean of 120 N and a standard deviation of 15 N.

a.

Determine the probability that a randomly selected cable has a tensile strength less than 147 N.

[2]
b.

Find the value of kkk such that P(S<k)=0.1056P(S < k) = 0.1056P(S<k)=0.1056.

[3]
c.

Find the value of mmm such that P(S>m)=0.1056P(S > m) = 0.1056P(S>m)=0.1056.

[2]
d.

Calculate P(k<S<m)P(k < S < m)P(k<S<m).

[2]
Markscheme

2.4 Probability Distributions Questions

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

390 exam-style questions on OCR (MEI) A Level Maths 2.4 Probability Distributions, covering 2.4.1 Recognise binomial situations, 2.4.2 Probability of success p, 2.4.3 Calculate binomial probabilities, 2.4.4 Mean of the binomial distribution, 2.4.5 Expected frequencies for binomial, 2.4.6 Probability functions and discrete random variables, 2.4.7 Numerical probabilities for a simple distribution, 2.4.8 Normal distribution as a model (A-level only), 2.4.9 Shape of the Normal curve (A-level only), 2.4.10 Linear transformation and standardising (A-level only), 2.4.11 Symmetry and inflection of Normal curve (A-level only), 2.4.12 Calculate probabilities from a Normal distribution (A-level only), 2.4.13 Model with probability distributions, and 2.4 Probability Distributions. Each one has a worked solution and a mark scheme showing where the marks go.

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