The age at which a given disease occurs in children is normally distributed with a mean of 10 years and a standard deviation of 1.5 years. What is the probability that when a randomly selected child has contracted the disease 1. Be less than 8 years old 2. Be under 12 years of age 3. Is over 8 years old

The age at which a given disease occurs in children is normally distributed with a mean of 10 years and a standard deviation of 1.5 years. What is the probability that when a randomly selected child has contracted the disease 1. Be less than 8 years old 2. Be under 12 years of age 3. Is over 8 years old

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...

See similar textbooks

Similar questions

The speed of cars driving on Route 1 is normally distributed with a mean of 60 mph and a standard deviation of 5 mph. What is the probability that a sample of 90 cars will have a mean speed of at least 60.527? 0.8413 0.1587 O 0.3413 0.6826 0.3174
The number of pizzas consumed per month by university students is normally distributed with a mean of 6 and a standard deviation of 2. A. What proportion of students consume more than 9 pizzas per month? Probability = B. What is the probability that in a random sample of size 12, a total of more than 60 pizzas are consumed? Probability =
The life expectancy of a particular brand of tire is normally distributed with a mean of 60,000 and a standard deviation of 6,000 miles. What is the probability that a randomly selected tire will have a life of at least 54,000 miles
The number of pizzas consumed per month by university students is normally distributed with a mean of 11 and a standard deviation of 2. A. What proportion of students consume more than 14 pizzas per month? Probability = B. What is the probability that in a random sample of size 8, a total of more than 80 pizzas are consumed? Probability =
The time needed to complete a final examination in a particular college course is normally distributed with a mean of 160 minutes and a standard deviation of 25 minutes. Answer the following questions What is the probability of completing the exam in 120 minutes or less? What is the probability that a student will complete the exam in more than 120 minutes but less than 150 minutes? What is the probability that a student will complete the exam in more than 100 minutes but less than 170 minutes? Assume that the class has 120 students and that the examination period is 180 minutes in length. How many students do you expect will not complete the examination in the allotted time?
The high temperature X (in degrees Fahrenheit) on January days in Columbus, Ohio, varies according to the Normal distribution with mean 21 and standard deviation 10. If a January day in Columbus is randomly selected, what is the probability that the high temperature is between 15 and 25 degrees?
BMI in children is approximately normally distributed with a mean of 24.5 and a standard deviation of 6.2. A BMI between 25 and 30 is considered overweight. What proportion of children are overweight? A BMI of 30 or more is considered obese. What proportion of children are obese? In a random sample of 10 children, what is the probability that their mean BMI exceeds 25?
When Freshman 15 The term "Freshman 15" refers to the claim that college students typically gain 15 lb during their freshman year at college. Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of 2.6 lb and a standard deviation of 10.8 1b (based on Data Set 13 "Freshman 15"). Find the probability that a randomly selected male college student gains 15 lb or more during his freshman year. What does the result suggest about the claim of the "Freshman 15"?
The number of pizzas consumed per month by university students is normally distributed with a mean of 11 and a standard deviation of 4. A. What proportion of students consume more than 13 pizzas per month? Probability = B. What is the probability that in a random sample of size 10, a total of more than 130 pizzas are consumed? Probability=
3. Replacements times of TV sets are reported to follow a normal distribution having a mean of 8.5 years with standard deviation of 1.2 years. If 25 TV sets are selected, what is the probability that the replacement time is between 8.4 years and 9 years.
Last year, a person wrote 118 checks. Let the random variable x represent the number of checks he wrote in one day, and assume that it has a Poisson distribution. What is the mean number of checks written per day? What is the standard deviation? What is the variance?
The mean production in a certain factory is 10 products per hour with a standard deviation of 1.5 products per hour. What is the probability of finishing more than 12 products per hour?