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Testing a Drug A drug manufacturer claims that a drug cures a rare skin disease 75% of the time. The claim is checked by testing the drug on 100 patients. If at least 70 patients are cured, then this claim will be accepted. Use this information in Exercises 31 and 32. 31. Find the probability that the claim will be rejected, assuming that the manufacturer's claim is true. 32. Find the probability that the claim will be accepted, assuming that the actual probability that the drug cures the skin disease is 65%.

Testing a Drug A drug manufacturer claims that a drug cures a rare skin disease 75% of the time. The claim is checked by testing the drug on 100 patients. If at least 70 patients are cured, then this claim will be accepted. Use this information in Exercises 31 and 32. 31. Find the probability that the claim will be rejected, assuming that the manufacturer's claim is true. 32. Find the probability that the claim will be accepted, assuming that the actual probability that the drug cures the skin disease is 65%.

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.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 52E: Breast Cancer To explain why the chance of a woman getting breast cancer in the next year goes up...
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Testing a Drug A drug manufacturer claims that a drug cures a rare skin disease 75% of the time. The claim is checked by testing the drug on 100 patients. If at least 70 patients are cured, then this claim will be accepted. Use this information in Exercise 32.

  1. Find the probability that the claim will be rejected, assuming that the manufacturer's claim is true.
  2. Find the probability that the claim will be accepted, assuming that the actual probability that the drug cures the skin disease is 65%.
Testing a Drug A drug manufacturer claims that a drug cures a rare skin disease 75% of the time. The claim is checked by testing the drug on 100 patients. If at least 70 patients are cured, then this claim will be accepted. Use this information in Exercises 31 and 32. 31. Find the probability that the claim will be rejected, assuming that the manufacturer's claim is true. 32. Find the probability that the claim will be accepted, assuming that the actual probability that the drug cures the skin disease is 65%.
Transcribed Image Text:Testing a Drug A drug manufacturer claims that a drug cures a rare skin disease 75% of the time. The claim is checked by testing the drug on 100 patients. If at least 70 patients are cured, then this claim will be accepted. Use this information in Exercises 31 and 32. 31. Find the probability that the claim will be rejected, assuming that the manufacturer's claim is true. 32. Find the probability that the claim will be accepted, assuming that the actual probability that the drug cures the skin disease is 65%.
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