Explain the difference between the associative addition and the commutative addition

Associative states you can regroup numbers and you will get the same answer and the commutative property states that you can move numbers around and still have the same answer.

Example:

Commutative a+b=b+a

Associative a+ (b+c) = (a+b) +c= a+b+c

P(z<-2.33 or z>2.66) = 0.0138

Step-by-step explanation:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

P(z<-2.33 or z>2.66)

P(z < -2.33)

Z = -2.33 has a pvalue of 0.0099. So

P(z < -2.33) = 0.0099.

P(z > 2.66)

1 subtracted by the pvalue of Z when X = 2.66.

Z = 2.66 has a value of 0.9961

P(z > 2.66) = 1 - 0.9961 = 0.0039

P(z<-2.33 or z>2.66) = P(z < -2.33) + P(z > 2.66) = 0.0099 + 0.0039 = 0.0138

P(z<-2.33 or z>2.66) = 0.0138