Answer:
(a) 3.75
(b) 2.00083
(c) 0.4898
Step-by-step explanation:
It is provided that X has a continuous uniform distribution over the interval [1.3, 6.2].
(a)
Compute the mean of X as follows:

(b)
Compute the variance of X as follows:

(c)
Compute the value of P(X < 3.7) as follows:
![P(X < 3.7)=\int\limits^{3.7}_{1.3}{\frac{1}{6.2-1.3}}\, dx\\\\=\frac{1}{4.9}\times [x]^{3.7}_{1.3}\\\\=\frac{3.7-1.3}{4.9}\\\\\approx 0.4898](https://tex.z-dn.net/?f=P%28X%20%3C%203.7%29%3D%5Cint%5Climits%5E%7B3.7%7D_%7B1.3%7D%7B%5Cfrac%7B1%7D%7B6.2-1.3%7D%7D%5C%2C%20dx%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B4.9%7D%5Ctimes%20%5Bx%5D%5E%7B3.7%7D_%7B1.3%7D%5C%5C%5C%5C%3D%5Cfrac%7B3.7-1.3%7D%7B4.9%7D%5C%5C%5C%5C%5Capprox%200.4898)
Thus, the value of P(X < 3.7) is 0.4898.
Answer:
160
Step-by-step explanation:
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Answer:
3x-8y-16 = 0
Step-by-step explanation:
Answer:
t = -2
Step-by-step explanation:
5t - 26 = 18t
Add 26 to both sides:
5t - 26 + 26 = 18t + 26
Simplify:
5t = 18t + 26
Subtract 18t from both sides:
5t - 18t = 18t + 26 - 18t
Simplify:
-13t = 26
Divide both sides by -13:
-13t/-13 = 26/-13
Therefore:
t = -2
I hope this helps!
Answer: The last one is the one with the Median
Step-by-step explanation: Hope this helps ^^