Answer:
Step-by-step explanation:
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
You are right the answer is B
Answer: C. x-2
Step-by-step explanation:
We have the following expression:

Factoring in the numerator:

Factoring again in the numerator with common factor
:

Simplifying:

Hence, the correct option is C. x-2
Answer:
Option A : 29 is the correct answer.
Step-by-step explanation:
Given that:
Number of trees planted by Tim = 86
Percent of trees with white flowers = 34%
Number of trees = 34% of 86
Number of trees = 
Number of trees = 0.34 * 86
Number of trees = 29.24
Rounding to nearest whole number
Number of trees = 29
Hence,
Option A : 29 is the correct answer.