How many scores are between 2 standard deviations above and below the mean in a normal...

How many scores are between 2 standard deviations above and below the mean in a normal distribution?
A score is 3 standard deviations above the mean in a normal distribution. How much of the data is below that score?
How many combinations can nine pair of shoes be made for nine people?

Expert Solution

1.

Let X be the random variable and be mean and be the std. deviation.

X ~ N(, ²)

Std. normal variable, Z = (X-)/.......1

P(-2* < X < +2*) = P(-2<Z<2) [by converting X into Z using the above formula in 1]

= 0.9545

2.

x = +3*

P(X<+3*) = P(Z<3) [by converting X into Z using the above formula in 1]

= 0.9987

3.

Combinations = 9!

= 362880

Please upvote if you have liked my answer, would be of great help. Thank you.

milcah answered 9 months ago

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