What is the number of tops collected on the 6th day based on the linear model?
1 answer:
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Answer:
P ( 1.2 < X < 2.1 ) = 0.3
Step-by-step explanation:
Given:
Uniform distribution over interval (0,3) can be modeled by a probability density function f(x)
f(x) = 1 / (b - a)
Where a < x < b is the domain at which function is defined:
f(x) = 1 / (3) = 1 / 3
Where, X - U ( u , δ )
u = ( a + b ) / 2 = (0 +3) / 2 = 1.5
δ = ( b - a ) / sqrt (12) = (3 - 0) / sqrt (12) = 0.866
Hence,
X - U ( 1.5 , 0.866 )
There-fore calculating P ( 1.2 < X < 2.1 ):
Where, a = 1.2 and b = 2.1
P ( 1.2 < X < 2.1 ) = x / 3 |
P ( 1.2 < X < 2.1 ) = 2.1 /3 - 1.2 / 3 = 0.3
Answer: P ( 1.2 < X < 2.1 ) = 0.3
Given:
The lengths, in inches, of each fish are listed:
9, 13, 9, 21, 18
To find:
The statement that best represents the meaning of the range for these data.
Solution:
The given data values are:
9, 13, 9, 21, 18
Arrange the data values in ascending order.
9, 9, 13, 18, 21
Here, the maximum value is 21 and the minimum value is 9.
We know that,
The range of the data set is 12. Therefore, the difference between the shortest and longest fish is 12 inches.