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2.4.12 Calculate probabilities from a Normal distribution (A-level only)

2.4.12 Calculate probabilities from a Normal distribution (A-level only)

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Question 85

The weights of crates that are delivered to a warehouse are normally distributed with a mean of 25 kg and a standard deviation of 4.5 kg.

a.

Find the probability that a randomly selected crate weighs more than 33 kg.

[2]
b.

The lightest 20% of crates are handled by a specialized automated conveyor system.

Find the weight, in kg, of the heaviest of these crates that the conveyor system will handle.

[3]
c.

One of the crates not handled by the conveyor system is selected at random.

Find the probability that it weighs less than 28 kg.

[4]
d.

A shipment of 5 crates is delivered to the warehouse. The weights of the crates are independent.

Find the probability that exactly 3 of them will be handled by the conveyor system.

[3]
Markscheme

2.4.12 Calculate probabilities from a Normal distribution (A-level only) Questions

  1. A Level
  2. /Maths
  3. /2.4.12 Calculate probabilities from a Normal distribution (A-level only)

149 exam-style questions on OCR (MEI) A Level Maths 2.4.12 Calculate probabilities from a Normal distribution (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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