Find the product. (z + 3i)(z − 3i)
1 answer:
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Answer:
E. Approximately normal with standard deviation less than 0.7 sibling
Step-by-step explanation:
To solve this question, we use the Central Limit theorem.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation
, a large sample size can be approximated to a normal distribution with mean
and standard deviation
In this problem, we have that:
Skewed right distribution, with
Sampling distribution of the sample mean for samples of size 100
By the Central Limit Theorem, they will be approximately normal, with mean , and standard deviation
So the correct answer is:
E. Approximately normal with standard deviation less than 0.7 sibling
Answer:
97.8%
Step-by-step explanation:
110 is 2 standard deviations above the mean (6+6 = 12)
12+98 = 110
Looking at the standard deviation curve
P(x< or = to 110) = 1 - P(x>110)
We can find the probability that x>100 by adding anything above 2 standard deviations above the curve.
P(x>110) = 2.1+.1 = 2.2%
P(x< or = to 110) = 1 - P(x>110)
= 1- 2.2%
= 1- .022
= .978
= 97.8 %
