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# Frequency Distribution - Histogram, Poisson Approximation to

Question (1):
The data in the table below relate to cadence. Form a frequency distribution using the classes 70 - 79.9 , 80 - 89.9 ...., 130 - 139.9

Display the information as a histogram. Use your frequency table to calculate an estimate of the mean and sample standard deviation if this data. Determine a 95% confidence interval for the population mean, clearly stating any assumptions you have made.

106 115 115 111 112 104 87 119 135 104
128 124 109 124 93 119 113 133 117 95
102 103 109 137 126 120 116 103 121 111
116 106 99 113 120 109 98 102 105 90
121 103 111 110 113 114 122 103 102 72
106 114 108 102 89 112 100 123 95 101
111 119 100 118 117 104 106 93 116

For the Full description of the questions please see the attached question file.

Question (2)
The probability that a patient will have an allergic reaction to a particular pain killing drug is 0.01.

(i)If a group of 15 patients are given this drug, what is the probability that one person has an allergic reaction ?
(ii)Using the Poisson approximation to the binomial, what is the probability that no one in a group of 120 patients has an allergic reaction ?

#### Solution Preview

Class Interval Frequency
70 - 80 1
............ ........
......... ...

#### Solution Summary

The problems given in the attached file are explained in the attached solution file with each step and detailed explanation. One problem explains how to form a Frequency Distribution from raw data, how to draw a Histogram for the prepared distribution, How to find the Mean and Standard Deviation, How to find the 95% confidence interval for the population mean.
The second problem is related to Poisson Distribution to Binomial. Each and every step in the solution is very clear and students can work out other similar problems using this solution.
The problem is to find the probability of one person has an allergic reaction out of 15 and
probability that no one in a group of 120 patients has an allergic reaction

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