How many solutions arc there for x + y + z + w + f = 15 if all x, y, z, w, f are

Question

How many solutions arc there for x + y + z + w + f = 15 if all x, y, z, w, f are all integers greater than or equal to one, i.e., x, y, z, w, f greaterthanorequalto 1. The probability that a patient has lung cancer if the chest scan is positive is 0.9 in both men and women. The probability that a patient has a lung cancer if the chest scan is negative is 0.1 in both men and women. The probability of a positive chest scan in men is 0.05 and in women 0 02. The prior probability of a patient being men is 0.5. What is the probability of lung cancer in men? The probability that Colts win against Patriots is 0.1. What is the expected number of wins by Colts if Colts play against Patriots 10 times on a row? Nine people (Ann, Ben, Cal, Dot, Ed, Fran, Gail, Hal, and Ida) are in a room. Five of them stand in a row for a picture In how many ways can this be done if Dot is on the left end and Ed is on the right end? Find the number of words of length eight of distinct letters of the alphabet so that the words do not have both A and B in them.

Explanation / Answer

Probability of positive chst scan is 0.9 in both men and women.
It shows that in both men and women probability is equal.
The probability in men is 0.05
women is 0.02

Calculating total probability of cancer in both men and women ==> (0.05 + 0.02)/1==> 0.07
As prior probability of being men is 0.5.
So probability of lung cancer in men is half of 7% ==> 3.5%

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