Question

A standard normal random variable is a random variable that is normally distributed with mean equal...

A standard normal random variable is a random variable that is normally distributed with mean equal to 1 and standard deviation equal to 1.

Group of answer choices

True

False

Homework Answers

Answer #1

A standard normal random variable is a random variable that is normally distributed with mean equal to 0 and standard deviation equal to 1

So, the above statement given is FALSE

The normal distribution is a continuous probability distribution. This has several implications for probability.

  • The total area under the normal curve is equal to 1.
  • The probability that a normal random variable X equals any particular value is 0.
  • The probability that X is greater than a equals the area under the normal curve bounded by a and plus infinity (as indicated by the non-shaded area in the figure below).
  • The probability that X is less than a equals the area under the normal curve bounded by a and minus infinity (as indicated by the shaded area in the figure below).

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