Find Probability of a Normally Distributed Random Variable X

Mean(μ) =

Standard Deviation(σ) =

Select Probability:

P (X < )

P (X > )

P ( < X < )

P (X < ) + P (X > )

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As illustrated below, the Normal Probability Distribution application will return the probability of a normally distributed random variable given Mean (μ) and Standard Deviation (σ).

Find Probability of a Normally Distributed Random Variable X

Solutions

Probability that a normally distributed random variable with a mean of 500 and a standard deviation of 50 is between 600 and 650

Probability that a normally distributed random variable with a mean of 6 and a standard deviation of 2 is between 5.54 and 6.53

Probability that a normally distributed random variable with a mean of 0 and a standard deviation of 1 is greater than 2

Probability that a normally distributed random variable with a mean of 0 and a standard deviation of 1 is greater than 3

Probability that a normally distributed random variable with a mean (μ) of 35 and a standard deviation (σ) of 6 is less than 42

Probability that a normally distributed random variable with a mean of 4 and a standard deviation of 1 is between 3 and 4

Probability that a normally distributed random variable with a mean (μ) of 2 and a standard deviation (σ) of 2 is less than 2

Probability that a normally distributed random variable with a mean of 5 and a standard deviation of 1 is between 2 and 3

Probability that a normally distributed random variable with a mean of 2 and a standard deviation of 4 is between 2 and 3

Probability that a normally distributed random variable with a mean of 2 and a standard deviation of 4 is less than -1 or greater than 5