If arrivals occur at a mean rate of 3.6 events per hour, the exponential probability of waiting more than 0.5 hour for the next
1 answer:
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Answer:
The following are the answer to this question:
Step-by-step explanation:
In the question some data is missing, which is defined in the attached file please find it.
The table for point a:
plot for the Stem-and-leaf:
0 3 4 5 7 4
1 2 2 4 4 5 7 7 7
2 0 3 4 4 5 8 6
3 3 4 7 9 4
4 1
In point b:
Its distributed skewed is correct because in its points 1 is a tail on its right side.
please find the attached file.
Answer:
No
Step-by-step explanation:
By using the Pythagoras theorem, it can be easily determined that whether the triangle is right triangle or not.
Thus, where where a and b are the legs and c is the hypotenuse.
Let a=6ft, b=21ft and c=23ft, then
which is not possible, therefore the given triangle is not right triangle because it does not satisfy the Pythagoras theorem.
Answer:
B) 0.0069
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 their mean rebuild time exceeds 9.1 hours.
This is 1 subtracted by the pvalue of Z when X = 9.1. So
By the Central Limit Theorem
has a pvalue of 0.9931
1 - 0.9931 = 0.0069
So the answer is B.