(Binomial Distribution) 1. A pharmaceutical company has developed a drug to restore hair growth in men. Like most drugs, this product has potential side effects. One of these side effects is increased blood pressure. The FDA has said the company can market the drug if there are blood-pressure increases in 2% or fewer of all men who will use the drug. The company is conducting a very small pilot trial with 10 men. Let X = number of men out of 10 with increased blood pressure after taking the drug. a. What are the possible values of X? b. For the computations below, assume for the moment, that the drug is safe (i.e., only 2% of men suffer increased blood pressure). Determine the probability that 3 or more men in the trial will have increased blood pressure. (Report this probability to 4 decimal places. Hint: Using the complement rule may be faster.)

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(Binomial Distribution)
1. A pharmaceutical company has developed a drug to restore hair growth in men. Like most drugs, this product has potential side effects. One of
these side effects is increased blood pressure. The FDA has said the company can market the drug if there are blood-pressure increases in 2% or
fewer of all men who will use the drug. The company is conducting a very small pilot trial with 10 men. Let X = number of men out of 10 with
increased blood pressure after taking the drug.
а.
What are the possible values of X?
For the computations below, assume for the moment, that the drug is safe (i.e., only 2% of men suffer increased blood pressure). Determine the
probability that 3 or more men in the trial will have increased blood pressure. (Report this probability to 4 decimal places. Hint: Using the
complement rule may be faster.)
b.
Suppose now that the company has actually conducted the study, and 3 men out of 10 suffered high blood pressure. Using the probability from
(b) to support your answer, what can you conclude, if anything, about the company's initial claim that the drug was safe?
с.
Transcribed Image Text:(Binomial Distribution) 1. A pharmaceutical company has developed a drug to restore hair growth in men. Like most drugs, this product has potential side effects. One of these side effects is increased blood pressure. The FDA has said the company can market the drug if there are blood-pressure increases in 2% or fewer of all men who will use the drug. The company is conducting a very small pilot trial with 10 men. Let X = number of men out of 10 with increased blood pressure after taking the drug. а. What are the possible values of X? For the computations below, assume for the moment, that the drug is safe (i.e., only 2% of men suffer increased blood pressure). Determine the probability that 3 or more men in the trial will have increased blood pressure. (Report this probability to 4 decimal places. Hint: Using the complement rule may be faster.) b. Suppose now that the company has actually conducted the study, and 3 men out of 10 suffered high blood pressure. Using the probability from (b) to support your answer, what can you conclude, if anything, about the company's initial claim that the drug was safe? с.
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The pharmaceutical company can market the hair growth drug only when the blood pressure increases in 2% or fewer of all the men who will use the hair growth drug.

X = Number of men out of 10 with increased blood pressure after taking the drug

 

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