Answer:
(B) The standard normal variable Z counts the number of standard deviations that the value of the normal random variable X is away from its mean
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

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.
Positive z-score: Above the mean
Negative z-score: Below the mean
All variables are continuous.
X can be positive or negative, just like Z
So the correct answer is:
(B) The standard normal variable Z counts the number of standard deviations that the value of the normal random variable X is away from its mean
Answer:
On Sunday they traveled=1/7 of the total distance
Step-by-step explanation:
Total distance to be traveled=x
On Saturday they covered=(5/7)x
Remaining distance=x-(5/7)x=(2/7)x
Sunday=1/2 of the remaining distance=(1/2)×(2/7)x=(1/7)x
On Sunday they traveled=1/7 of the total distance(x)
-8 x -2/3 =5.3333 so five point three repeating