(Continuous random variable) In a city, the daily electricity consumption (millions of kWh) is a random variable whose probability density is: f(x) - foxe-³ = 0 xe 3 six>0 six<0 The city's electric power plant has a daily capacity of 12 million kWh. a. Verify that the given function is a probability density function. b. Calculate the probability that the power plant cannot meet the demand for electric power.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
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(Continuous random variable) In a city, the daily electricity consumption (millions of kWh) is a
random variable whose probability density is:
f(x)
- ਵਿਆ
=
0
x
xe 3 six>0
six<0
The city's electric power plant has a daily capacity of 12 million kWh.
a. Verify that the given function is a probability density function.
b. Calculate the probability that the power plant cannot meet the demand for electric power.
Transcribed Image Text:(Continuous random variable) In a city, the daily electricity consumption (millions of kWh) is a random variable whose probability density is: f(x) - ਵਿਆ = 0 x xe 3 six>0 six<0 The city's electric power plant has a daily capacity of 12 million kWh. a. Verify that the given function is a probability density function. b. Calculate the probability that the power plant cannot meet the demand for electric power.
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