Parents tend to be very good at diagnosing their children's routine medical problems, such as ear infections, sinus infection, or strep throat. If an ailment is identified correctly, a trip to the doctor's office may be avoided. A physician may confer with a parent by telephone and simply call a pharmacy with a prescription for an antibiotic. Suppose parents are correct 85% of the time (incorrect 15% of the time) and 50 families with a child suffering from a minor illness are selected at random. a. Find the mean, variance and standard deviation of the number of parents who identify their child's illness correctly. b. Find the probability that at least 42 parents are correct. C. Find the probability that between 42 and 47 (inclusive) parents are correct.
Parents tend to be very good at diagnosing their children's routine medical problems, such as ear infections, sinus infection, or strep throat. If an ailment is identified correctly, a trip to the doctor's office may be avoided. A physician may confer with a parent by telephone and simply call a pharmacy with a prescription for an antibiotic. Suppose parents are correct 85% of the time (incorrect 15% of the time) and 50 families with a child suffering from a minor illness are selected at random. a. Find the mean, variance and standard deviation of the number of parents who identify their child's illness correctly. b. Find the probability that at least 42 parents are correct. C. Find the probability that between 42 and 47 (inclusive) parents are correct.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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