What's the sum for 329+252
1 answer:
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Answer:
15.15% probability that the sample mean will be $192,000 or more.
Step-by-step explanation:
To solve this problem, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
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.
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:
The probability that the sample mean will be $192,000 or more is
This is 1 subtracted by the pvalue of z when X = 192000. So
By the Central Limit Theorem
has a pvalue of 0.8485.
1-0.8485 = 0.1515
15.15% probability that the sample mean will be $192,000 or more.
Answer:
Step-by-step explanation:
We have two mixed numbers and are asked to multiply them together.
2 1/4 * 1 2/3
First we convert the mixed numbers into improper fractions to make it easier for us. So follow the MA rule.
Multiply the whole number by the denominator and add the numerator.
2 1/4 * 1 2/3
9/4 * 5/3
Now multiply across,
Now we need to convert this back into a mixed number.
So how many times does 45 go into 12?
3 times, and 3 are left.