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2.4 Probability Distributions

2.4 Probability Distributions

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Question 216

The life of a certain type of battery, BBB hours, is normally distributed with a mean of 120 hours and a standard deviation of 16 hours.

a.

Find P(B>144)P(B > 144)P(B>144).

[2]
b.

Find the value of kkk such that P(B<k)=0.15P(B < k) = 0.15P(B<k)=0.15.

[3]
c.

Ben is preparing for a 12-hour recording session. Given that the battery has already been in use for 144 hours,

find the probability that the battery will not run out before the session is completed.

[4]
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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