Evaluate 11.5s + 10.7t when s = 7 and t = 8 .
1 answer:
You might be interested in
Answer:
0.288
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, we have that:
Find the probability that the mean printing speed of the sample is greater than 18.06 ppm.
This is 1 subtracted by the pvalue of Z when X = 18.06. So
By the Central Limit Theorem
has a pvalue of 0.712
1 - 0.712 = 0.288
The answer is 0.288
Answer:
Refer the attached graph.
Step-by-step explanation:
Given : Time (h) Distance (km) able displaying Time in hours in one column and Distance in kilometers in the other. The time column contains 1, 3, 6, and 9. The distance column contains 2, 6, 12, and 18.
To plot : The points on the coordinate plane.
Solution :
Time is independent variable so it is taken on x-axis.
Distance is taken on y-axis.
x y
1 2
3 6
6 12
9 18
When we plot these points in the coordinate plane, we get a linear equation.
The linear equation form is
Refer the attached graph.
