(a) The age of patients in a hospital is normally distributed with mean 45.8 years with a standard deviation of 17.7 years. (i) A patient is randomly selected from the hospital. What is the probability that he/she is more than 40 years? (ii) 12.1% of the patients in this hospital aged more than x years old. Find the value of x. (iii) A random sample of 30 patients was taken from the hospital. What is the probability that the sample yields a mean age of less than 50 years?
(a) The age of patients in a hospital is normally distributed with mean 45.8 years with a standard deviation of 17.7 years. (i) A patient is randomly selected from the hospital. What is the probability that he/she is more than 40 years? (ii) 12.1% of the patients in this hospital aged more than x years old. Find the value of x. (iii) A random sample of 30 patients was taken from the hospital. What is the probability that the sample yields a mean age of less than 50 years?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
Related questions
Question
Transcribed Image Text:(a)
The age of patients in a hospital is normally
distributed with mean 45.8 years with a standard
deviation of 17.7 years.
(i)
A patient is randomly selected from the hospital.
What is the probability that he/she is more than 40
years?
12.1% of the patients in this hospital aged more
than x years old. Find the value of x.
(iii)
A random sample of 30 patients was taken from
the hospital. What is the probability that the sample
yields a mean age of less than 50 years?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 5 images
Recommended textbooks for you