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:
percentage of professional professor are 75
Step-by-step explanation:
Given data
academic professors A = 60%
professors tenured P = 70%
professors at Paracelsus University = 90%
to find out
what percent of the professional professors
solution
we know 90% of the professors are academic professors or tenured or both so we can say percent of academic professors = 60 + 70 - 90 = 40
because here
total = A + P - both
90 = 60 + 70 - both
both = 40
so professors tenured will be here 70 - 40 = 30
so
percentage of professional professor are = 30 / 40 × 100
percentage of professional professor are 75
The unit Circle is a platform for describling all the possible angle measures from 360 degrees all negative of those angles plus all the multiplies of the positive and negative angles from negative infinity to postive infinity hope this helps you
She made 62 baskets by day 14. 4×13=52+10=62
The median would be the middle data point. Let’s list the points
25, 26, 31, 39, 32, 57
Put them in order from least to greatest
25, 26, 31, 32, 39, 57
There is an even amount of data so take the two center points and divide by 2
31 + 32 = 63
Divide by 2
31.5
There would be an average of 31.5 strokes
