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  4. Exercise : Determine a such that P(-a≤X≤a)=b, when X follows the standard normal distribution and b is given

Determine a such that P(-a≤X≤a)=b, when X follows the standard normal distribution and b is given Statistics & Probabilities

X follows \mathcal{N}\left(0{,}1\right). The following table is given:

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Determine a such that P\left(-a \lt X \lt a\right)=0.4.

Determine a such that P\left(-a \lt X \lt a\right)=0.81.

Determine a such that P\left(-a \lt X \lt a\right)=0.3.

Determine a such that P\left(-a \lt X \lt a\right)=0.64.

Determine a such that P\left(-a \lt X \lt a\right)=0.88.

Determine a such that P\left(-a \lt X \lt a\right)=0.93.