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nas per The pressures obtained from a manufacturing process of capillary tubes is found to be normally distributed with an average pressure of 130 pounds per square inch and a standard deviation of 4 pounds per square inch. Determine: a) What percent of the pressures are below 121 pounds per square inch? b) What percent of the pressure readings lie between 121 and 134 pounds per square inch?

nas per The pressures obtained from a manufacturing process of capillary tubes is found to be normally distributed with an average pressure of 130 pounds per square inch and a standard deviation of 4 pounds per square inch. Determine: a) What percent of the pressures are below 121 pounds per square inch? b) What percent of the pressure readings lie between 121 and 134 pounds per square inch?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Please explain me easy way only no 2 a and b
# Statistical Probabilities and Distributions: Practice Problems ## 1. Normal Distribution of Pressure Measurements in Capillary Tubes **Scenario:** A measurement in the pressure drop for the ends of capillary tubes shows that the pressures follow a normal distribution with an average value (mean) of 130 pounds per square inch (psi) and a standard deviation of 4 psi. **Problems:** a) What percent of the pressures are below 121 psi? b) What percent of the pressure readings lie between 121 and 134 psi? ## 2. Lifetime Probability Estimates for a General Population **Scenario:** It is estimated that 3.5% of the general population will live past their 90th birthday. Given a graduating class of 753 high school seniors: **Problems:** a) What is the probability that 30 or more will live beyond their 90th birthday? b) What is the probability that more than 40 will live beyond their 90th birthday? ## 3. Exponential Distribution of Generator Operational Time **Scenario:** The time (in hours) during which an electrical generator is operational follows an exponential distribution. The average operational time is given as 160 hours. **Problem:** If the average operational time is 160 hours, what is the probability that a generator of this type will be operational for a duration between 60 and 160 hours? --- ### Graphs and Diagrams: * **Explanation:** If there are any graphs or diagrams related to normal distribution or exponential distribution, they typically illustrate: * **Normal Distribution Graph**: A bell-shaped curve centered at the mean value (130 psi). The area under the curve represents the total probability, with different segments showing probabilities for specific ranges. * **Exponential Distribution Graph**: A decreasing exponential curve that starts at a maximum value and approaches zero as time increases. This visual aids in understanding the probability of the generator’s operational time within a given range. --- ### Navigation: * **Previous**: A button to navigate to the previous page. * **Next**: A button to navigate to the next page. These problems provide practical applications of normal and exponential probability distributions, offering hands-on practice for students studying these concepts in statistics and probability courses.
Transcribed Image Text:# Statistical Probabilities and Distributions: Practice Problems ## 1. Normal Distribution of Pressure Measurements in Capillary Tubes **Scenario:** A measurement in the pressure drop for the ends of capillary tubes shows that the pressures follow a normal distribution with an average value (mean) of 130 pounds per square inch (psi) and a standard deviation of 4 psi. **Problems:** a) What percent of the pressures are below 121 psi? b) What percent of the pressure readings lie between 121 and 134 psi? ## 2. Lifetime Probability Estimates for a General Population **Scenario:** It is estimated that 3.5% of the general population will live past their 90th birthday. Given a graduating class of 753 high school seniors: **Problems:** a) What is the probability that 30 or more will live beyond their 90th birthday? b) What is the probability that more than 40 will live beyond their 90th birthday? ## 3. Exponential Distribution of Generator Operational Time **Scenario:** The time (in hours) during which an electrical generator is operational follows an exponential distribution. The average operational time is given as 160 hours. **Problem:** If the average operational time is 160 hours, what is the probability that a generator of this type will be operational for a duration between 60 and 160 hours? --- ### Graphs and Diagrams: * **Explanation:** If there are any graphs or diagrams related to normal distribution or exponential distribution, they typically illustrate: * **Normal Distribution Graph**: A bell-shaped curve centered at the mean value (130 psi). The area under the curve represents the total probability, with different segments showing probabilities for specific ranges. * **Exponential Distribution Graph**: A decreasing exponential curve that starts at a maximum value and approaches zero as time increases. This visual aids in understanding the probability of the generator’s operational time within a given range. --- ### Navigation: * **Previous**: A button to navigate to the previous page. * **Next**: A button to navigate to the next page. These problems provide practical applications of normal and exponential probability distributions, offering hands-on practice for students studying these concepts in statistics and probability courses.
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