Asked by Dusty Dawson on May 07, 2024
Verified
It was reported that the mean high temperature in the continental United States on October 5,2011 was 75.77°F,with a standard deviation of 10.95°F.What is the probability that a city chosen at random will report a temperature between 70°F and 80°F?
Normal Distribution
A bell-shaped probability distribution that is symmetric about the mean, describing how continuous data is dispersed around the average value.
Standard Deviation
A gauge for determining the level of difference or scattering in a series of amounts.
Mean High Temperature
The average of the highest temperatures observed over a specified period.
- Evaluate the probabilities pertinent to normal distributions by applying the given mean values and standard deviation figures.
Verified Answer
YH
Yodany HamiltonMay 08, 2024
Final Answer :
μ = 75.55,σ = 10.95.The probability that the temperature will lie between 70°F and 80°F needs to be calculated.Using Excel: "=NORM.DIST(80,75.77,10.95,TRUE)-NORM.DIST(70,75.77,10.95,TRUE)" = 0.35125.There is a 35.13% chance that a city chosen at random in the continental U.S.will report a temperature between 70°F and 80°F.
Learning Objectives
- Evaluate the probabilities pertinent to normal distributions by applying the given mean values and standard deviation figures.
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