Dr. James, a dermatologist, is creating a face wash for her patients with severe skin allergies. However, the product is not yet ready to be released to the public. Tests indicate 47% of people with "highly sensitive skin" who sampled the facial wash still exhibit an allergic reaction. Assume the test results are representative of the general population. If Dr. James released the face wash to the public now, and 51 people with "highly sensitive skin" used it, what is the probability that exactly 32 will have an allergic reaction? Use a normal distribution to approximate the answer and write it as a decimal rounded to the nearest hundredth.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Dr. James, a dermatologist, is creating a
face wash for her patients with severe
skin allergies. However, the product is not
yet ready to be released to the public.
Tests indicate 47% of people with "highly
sensitive skin" who sampled the facial
wash still exhibit an allergic reaction.
Assume the test results are
representative of the general population.
If Dr. James released the face wash to
the public now, and 51 people with
"highly sensitive skin" used it, what is the
probability that exactly 32 will have an
allergic reaction?
Use a normal distribution to approximate
the answer and write it as a decimal
rounded to the nearest hundredth.
Transcribed Image Text:Dr. James, a dermatologist, is creating a face wash for her patients with severe skin allergies. However, the product is not yet ready to be released to the public. Tests indicate 47% of people with "highly sensitive skin" who sampled the facial wash still exhibit an allergic reaction. Assume the test results are representative of the general population. If Dr. James released the face wash to the public now, and 51 people with "highly sensitive skin" used it, what is the probability that exactly 32 will have an allergic reaction? Use a normal distribution to approximate the answer and write it as a decimal rounded to the nearest hundredth.
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