Textbook ExpertVerified Tutor
1 Nov 2021
Given information
Use the following information to answer the next ten questions. The data that follow are the square footage (in feet
squared) of homes.
The and the
The distribution can be written as
Step-by-step explanation
Step 1.
According to the given information, the distribution of the random variable is uniform with parameters and .
The probability density function of the uniform distribution is given by,
for .
On substituting for and for in the probability density function.
Therefore, the height of is .
For the range to the probability curve is given below,
The area of the shaded region is the required probability:
The area corresponds to a probability. The probability that is between and is , In mathematical terms
.
Therefore, the value of is .
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