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.
Step-by-step explanation:
I think this will help you. Thanks.
Answer:
1 7/8
Step-by-step explanation:
1/4=2/8
2+2/8-3/8= 1 7/8
You multiply 8.5 by 5.25 by 4 and get 178.5
Answer:
k=-1827/685
Step-by-step explanation:
8/9k+9/5=-4-9/7k
8/9k-(-9/7k)=-4-9/5
8/9k+9/7k=-20/5-9/5
56/63k+81/63k=-29/5
137/63k=-29/5
k=(-29/5)/(137/63)
k=(-29/5)(63/137)
k=-1827/685
