As part of a drug research study, individuals suffering from arthritis take an experimental pain relief medication. Suppose that 40% of all individuals who take the new drug experience a certain side effect. For a given individual, let X be either 1 or 0, depending on whether he or she experienced the side effect or not, respectively. Complete parts a through c below. a. If n = 3 people take the drug, find the probability distribution of the proportion who will experience the side effect. (Hint: List all possible values for the sample proportion and their chances of occurring.) P(x) X 0 1 2 3 (Type integers or decimals. Do not round.)

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.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
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Hello for this question I'm getting really confused on how to do/calculate the table and was wondering if you would be able to do a step by step solution on how to find the value at each probability please and thank you. 

As part of a drug research study, individuals suffering from arthritis take an experimental pain relief medication. Suppose that 40% of all individuals who take the new drug experience a certain side effect.
For a given individual, let X be either 1 or 0, depending on whether he or she experienced the side effect or not, respectively. Complete parts a through c below.
a. If n = 3 people take the drug, find the probability distribution of the proportion who will experience the side effect. (Hint: List all possible values for the sample proportion and their chances of occurring.)
P(x)
X
0
1
2
W N
3
(Type integers or decimals. Do not round.)
Transcribed Image Text:As part of a drug research study, individuals suffering from arthritis take an experimental pain relief medication. Suppose that 40% of all individuals who take the new drug experience a certain side effect. For a given individual, let X be either 1 or 0, depending on whether he or she experienced the side effect or not, respectively. Complete parts a through c below. a. If n = 3 people take the drug, find the probability distribution of the proportion who will experience the side effect. (Hint: List all possible values for the sample proportion and their chances of occurring.) P(x) X 0 1 2 W N 3 (Type integers or decimals. Do not round.)
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