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1. (a) The probability that a patient has an adverse reaction to a drug is 0.1, what is the mean and standard deviation of adverse reactions in a total of 400 patients?

1. (a) The probability that a patient has an adverse reaction to a drug is 0.1, what is the mean and standard deviation of adverse reactions in a total of 400 patients?

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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(f) The weights of several participants are adjusted, determine whether or not these participants are now deemed outliers. How should outliers be dealt with? 138 164 150 132 144 125 149 157 146 158 140 147 136 148 152 144 288 126 132 174 163 77 154 165 146 173 142 147 135 153 140 135 161 145 135 142 150 156 145 128
Transcribed Image Text:(f) The weights of several participants are adjusted, determine whether or not these participants are now deemed outliers. How should outliers be dealt with? 138 164 150 132 144 125 149 157 146 158 140 147 136 148 152 144 288 126 132 174 163 77 154 165 146 173 142 147 135 153 140 135 161 145 135 142 150 156 145 128
1. (a) The probability that a patient has an adverse reaction to a drug is 0.1, what is the mean and standard deviation of adverse reactions in a total of 400 patients? (b) A follow up drug is given to a patient 5 times, it is found to lose some efficacy with increasing exposure, can a binomial distribution be used to find the probability that three out of the five times the patient takes the drug it is successful, give reasons for your answer? (c) A new project manager is placed in charge of the clinical trial; he monitors the time a clinical team takes to administer the treatment and finds that they are able to treat 15 patients per hour. Find the probability that there is greater than 2 minutes between the treatment of patients in one hour, you should approximate your answer to 3dp. (d) Below are the weights of a sample of individuals involved in the trial, plot a histogram of both the absolute and relative frequencies of their weights. Use appropriate descriptive statistics to summarise the data, you may approximate your answers to 1dp. 138 164 150 132 144 125 149 157 146 158 140 147 136 148 152 144 168 126 132 174 163 120 154 165 146 173 142 147 135 153 140 135 161 145 135 142 150 156 145 128
Transcribed Image Text:1. (a) The probability that a patient has an adverse reaction to a drug is 0.1, what is the mean and standard deviation of adverse reactions in a total of 400 patients? (b) A follow up drug is given to a patient 5 times, it is found to lose some efficacy with increasing exposure, can a binomial distribution be used to find the probability that three out of the five times the patient takes the drug it is successful, give reasons for your answer? (c) A new project manager is placed in charge of the clinical trial; he monitors the time a clinical team takes to administer the treatment and finds that they are able to treat 15 patients per hour. Find the probability that there is greater than 2 minutes between the treatment of patients in one hour, you should approximate your answer to 3dp. (d) Below are the weights of a sample of individuals involved in the trial, plot a histogram of both the absolute and relative frequencies of their weights. Use appropriate descriptive statistics to summarise the data, you may approximate your answers to 1dp. 138 164 150 132 144 125 149 157 146 158 140 147 136 148 152 144 168 126 132 174 163 120 154 165 146 173 142 147 135 153 140 135 161 145 135 142 150 156 145 128
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Calculus For The Life Sciences
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