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Calculating probabilities involving normal distribution and binomial distribution

Calculating probabilities involving normal distribution and binomial distribution

IB Year 6 | Grade 12

Let \(X\) denote a random variable giving a value with distribution \(X \sim N(-5, 9)\). Find the probability that

  1. an item chosen at random will have a positive value,
  2. out of \(10\) items chosen at random, just \(4\) will have a positive value.

Solution:

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Answer:(a) \(0.0478\). (b) \(0.000817\), assuming independent observations from the stated normal distribution.

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