6. Use the frequency distribution to construct a probability distribution. Construct a histogram, find the mean, variance and standard deviation. The number of defects per batch of DVD's inspected: 3 Defects 2 4 Batches 105 98 115 64 13 58
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![5. Decide whether the probability distribution is valid. Why or why not?
0.
1
3
4.
P(x)
.007
295
.394
.245
.058
.004
6. Use the frequency distribution to construct a probability distribution. Construct a
histogram, find the mean, variance and standard deviation.
The number of defects per batch of DVD's inspected:
3
Defects
4
Batches
105
98
115
64
13
8.
7. Using the probability distribution created in question 6, what is the probability that
there were at most 2 defects in a batch?
8. A surgical technique is performed on seven patients. You are told there is a 60%
chance of success. Find the probability that the surgery is successful for (a) exactly five
patients, (b) at least five patients and (c) at most two patients.
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