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Sloka
Sloka asked in Science & MathematicsMathematics · 6 years ago

Normally distributed random variable?

X is a normally distributed random variable with mean equal to 1.234 and variance equal to .336. What is the probability that X equals 1.000?

0

.236

.442

.781

.884

.903

none of the above

I put it in my calculator like this:

normalpdf

x-value=1

mean=1.234

std dev=sqrt(0.336)

and I keep getting 0.6343.

1 Answer

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  • Clive G
    Lv 5
    6 years ago

    For any continuous distribution, the probability that a RV takes a particular value is zero! Keep in mind that you are asking "What is the probability that X equals 1.000........... to an infinite number of decimal points. That is, P(X=1) = 0 but P(X>1) = P(X>=1) = 0.6343

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