Concept explainers
a.
Identify the type of the continuous random variable.
a.
Answer to Problem 115UP
The type of random variable is Exponential random variable.
Explanation of Solution
Calculation:
The distribution of the random variable X is,
Exponential Distribution:
A random variable X is said to follow Exponential distribution if the density
Where the mean is
As the given
Thus, X follows Exponential probability distribution with mean
b.
Find the type of the continuous random variable.
b.
Answer to Problem 115UP
The type of random variable is Uniform random variable.
Explanation of Solution
Calculation:
The distribution of the random variable X is,
Uniform Distribution:
A random variable X is said to follow Uniform distribution if the density function of X is,
Where the mean is
As the given probability distribution is,
Thus, X follows Uniform probability distribution.
c.
Determine the type of the continuous random a variable.
c.
Answer to Problem 115UP
The type of random variable is Normal random variable.
Explanation of Solution
Calculation:
The distribution of the random variable X is,
A random variable x is said to follow a Normal distribution, if the probability distribution is
Where,
As the given probability distribution is,
Thus, X follows Normal probability distribution with mean
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