Adam drew two same size rectangles and divided them into the same number of equal parts. He shaded 1 3rd of one rectangle and 1
1 answer:
You might be interested in
Answer:
20/3 or 6.67 or 6 (any of these are correct)
Step-by-step explanation:
Volume of triangular pyramid formula is V = 1/3 * base area * height
V = 1/3 * 5 * 4 = 20/3
20/3 or 6.67 or 6
Answer:
0.43% probability that the mean IQ score of 50 randomly selected people will be more than 23
Step-by-step explanation:
To solve this question, 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 normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question:
What is the probability that the mean IQ score of 50 randomly selected people will be more than 23
This is 1 subtracted by the pvalue of Z when X = 23. So
By the Central Limit Theorem
has a pvalue of 0.9957
1 - 0.9957 = 0.0043
0.43% probability that the mean IQ score of 50 randomly selected people will be more than 23