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)=
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)=
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 50E: Flexible Work Hours In a recent survey, people were asked whether they would prefer to work flexible...
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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:
- 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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