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Sagot :
Second option is correct. That is the probability of being below 514 with the mean 474 and standard deviation 32 is 0.8944.
What is normal distribution?
A function that represents the distribution of many random variables as a symmetrical bell shaped graph.
The normal distribution is a probability distribution, so the total area under the curve is always 1 or 100%.
What is z-score?
A z-score is a numerical measurement that describes a value's relationship to mean of a group of values.
Formula for calculating z-score
z = (x -μ)/σ
where,
z is standard score
x is observed value
μ is mean of sample
σ is standard deviation of sample
According to the given question
we have
x = 514
μ = 474
and
σ =32
therefore,
Z- score will be
Z = (514 -474)/32 = 1.25
So, the area under the normal distribution curve z<1.25
⇒ P(x<1.25) = P(Z<1.25) = 0.894
Hence, second option is correct one. That is, the probability of being below 514 if the mean of a normal distribution is 474and the standard deviation is 32 is 0.894.
Learn more about the probability under normal distribution here:https://brainly.com/question/15103234
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