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2 Statistics

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Question 336

The random variable XXX is defined as

X=2Y+3Z−W X = 2Y + 3Z - W X=2Y+3Z−W

where YYY, ZZZ, and WWW are independent random variables with

Y∼N(5,42)Z∼N(8,22)W∼N(10,52) Y \sim \mathrm{N}(5, 4^2) \quad Z \sim \mathrm{N}(8, 2^2) \quad W \sim \mathrm{N}(10, 5^2) Y∼N(5,42)Z∼N(8,22)W∼N(10,52)

Find P(X>40)P(X > 40)P(X>40).

[5]
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2 Statistics Questions

  1. A Level
  2. /Maths
  3. /2 Statistics

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