Answer:
True.
Step-by-step explanation:
We have been given a statement. We are asked to determine the given statement is true or false.
Statement: Areas under the standard normal curve cannot be negative, whereas z-scores can be positive or negative.
We know that area under the standard normal curve is equal to 1, so area under normal curve cannot be negative.
We know that a z-score represents that a data point is how many standard deviation above or below mean.
When a data point is less than mean, then z-score will be negative and when a data point is greater than mean, the z-score will be positive.
Therefore, our given statement is true.
5/5=1, 1/2=0.5, After you divide the fractions you then only have to divide the numbers. 1/0.5=2
Answer: 0.030
Step-by-step explanation:
Given: The percent of the items produced by a machine are defective :
The percent of the items produced by machine which are not defective:
Sample size : n = 100
Now, the standard error of the proportion is given by :-
Hence, the the standard error of the distribution of the sample proportions=0.030
We're told that
a. We want to find . By definition of conditional probability,
By the law of total probability,
Then
(the first equality is Bayes' theorem)
b. We want to find .
since .
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