Experience has shown that 20% of all persons afflicted by a certain illness recover. A drug company has developed a new medication. Ten people with the illness were selected at random and received the medication. Suppose that the medication was absolutely worthless. Let X be the number of patients who recovered from the illness. Part 1. Construct and present the probability distribution of X using a probability distribution table: In the first column, identify the possible values of the random variable . Arrange your values in ascending order (start from the lowest to the highest value). In the second column, compute the probability values, . Express the values in decimal form and round off to two significant figures. X P(X) 0 1 Part 2. Express the probabilities in decimal form and round off to two significant figures. Find the probability that: At least eight patients will recover: P(X ≥ 8)= Four or five patients will recover: P(X = 4 or X = 5)= At most three patients will recover: P(X ≤ 3)=

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Experience has shown that 20% of all persons afflicted by a certain illness recover. A drug company has developed a new medication. Ten people with the illness were selected at random and received the medication.

Suppose that the medication was absolutely worthless. Let X be the number of patients who recovered from the illness.

Part 1. Construct and present the probability distribution of X using a probability distribution table:

  • In the first column, identify the possible values of the random variable . Arrange your values in ascending order (start from the lowest to the highest value).
  • In the second column, compute the probability values, . Express the values in decimal form and round off to two significant figures. 
X P(X)
0  
1  
   
   
   
   
   
   
   

Part 2. Express the probabilities in decimal form and round off to two significant figures. Find the probability that:

  1. At least eight patients will recover: P(X ≥ 8)=
  2. Four or five patients will recover: P(X = 4 or X = 5)=
  3. At most three patients will recover: P(X ≤ 3)=

 

 

 

 

 

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