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The probability is 0.70 that a rare tropical disease will be diagnosed correctly. If it is diagnosed correctly, the probability is 0.90 that the patient will be cured and if it is not diagnosed correctly the probability is 0.40 that the patient will be cured. If a patient having this disease is cured, what is the probability that it was diagnosed correctly?
Math
Is mathematics dependent upon the notion of reproducibility i.e. experimentation and instantiations? Why or why not?
In a hospital 60% of the patients are married. What’s the probability that a sample of one word with 8 patient, had 3 were married
Consider a set of 10 data points:
x: 1 2 3 4 4 5 5 6 6 7
Y: 7 8 9 8 9 11 10 13 14 13
Derive the simple linear regression model
x: 1 2 3 4 4 5 5 6 6 7
Y: 7 8 9 8 9 11 10 13 14 13
Derive the simple linear regression model
Q. Compute the curvature of the following curves
(i) γ(t)=4/5cos t, 1-sint,(-3)/5cos t
(ii) γ(t)=(t, cosht)
(iii) γ(t)=4/5 (〖cos〗^3t,〖sin〗^3t)
For the astroid in (iii), show that the curvature tends to ∞ as we approach one of the points (±1,0), (0,±1)
(i) γ(t)=4/5cos t, 1-sint,(-3)/5cos t
(ii) γ(t)=(t, cosht)
(iii) γ(t)=4/5 (〖cos〗^3t,〖sin〗^3t)
For the astroid in (iii), show that the curvature tends to ∞ as we approach one of the points (±1,0), (0,±1)
Q. Show that if curvature K(t) of a regular curve γ(t) is >0 every where, then k(t) is a smooth function of t. Give an example to show that this may not be the case without the assumption that k>0.
Q.Torsion is defined only when K(S)≠0 (why?)
A rounded cup of tea has an opening shaped like a sphere. That radius is 5cm. What is the volume?
dy/dx+ycotx=5e^cosx
Math
The growth in the value of a bond is modelled by the equation B(y) = 3000(1 + 0.025)y. What does the 3000 represent?
