The probability that a randomly chosen male has a blood circulation problem is 0.25. Males who have a blood circulation problem are twice as likely to be smokers as those who do not have a blood circulation problem. Calculate the probability that a male has a blood circulation problem, given that he is a smoker.

Question

17-09-2019
Mathematics

contestada

The probability that a randomly chosen male has a blood circulation problem is 0.25. Males who have a blood circulation problem are twice as likely to be smokers as those who do not have a blood circulation problem. Calculate the probability that a male has a blood circulation problem, given that he is a smoker.

Respuesta :

Otras preguntas

What is the best way to catch a particular sporting moment? A Photograph a new sport so you'll be alert. b Look at what other photographers are doing. c Know t

Which step in the STP process develops descriptions of the different segments, which helps firms better understand the customer profiles in each segment?

Dalton Industries makes all purchases on account, subject to the following payment pattern: Paid in the month of purchase: 25% Paid in the first month following

All objects moving in a circle experience a centripetal force. The form of centripetal force depends on the object in circular motion and the force causing the

Find all values of x that are NOT in the domain of h. If there is more than one value, separate them with commas h(x) = x + 1 / x^2 + 2y + 1

The expression on the left side of an equation is shown below. -4(x-2)+5x=0 If the equation has no solution, which expression can be written in the box on the o

What is the fate of pyruvic acid in an organism that uses aerobic respiration?

If you can't get enough sleep, you should _____. A. close your eyes when stopped in traffic B. not drive, period C. drink extra coffee before you drive D. le

You are facing North. Turn 90 degrees left. Turn 180 degrees right. Turn around to reverse your direction. Turn 45 degrees left. Turn around to reverse your dir

construct a difference table to predict the next term of the sequence -1,3,18,47,93,159,248

ACCESS MORE

jitenderchoubey11 jitenderchoubey11 · Answer 1 · 2019-09-20T08:24:48+02:00

Answer:

The probability that a male has a blood circulation problem and he is a smoker is 0.4.

Step-by-step explanation:

We have given,

The probability that a randomly chosen male has a blood circulation problem is 0.2.

P(Circulation) = .25

P(smoker | circulation) = 2 × P(smoker | not circulation)

Let P(smoker | not circulation) = x

Therefore P(smoker | circulation) = 2x

Let smoker = S, circulation = C

[tex]P(C\ |\ S)=\dfrac {P(S\ |\ C)}{[P(S\ |\ C)\times P(C) + P(S\ |\ not\ circulation)\times P(not\ circulation)]}[/tex]

[tex]P(C\ |\ S)=\dfrac {2x \times 0.25}{[2x \times 0.25 + x \times 0.75]} = \dfrac {0.5x}{(0.5x + 0.75x)} \\\\\\P(C\ |\ S)= \dfrac {0.5x}{1.25x} = 0.4[/tex]

Thus, the probability that a male has a blood circulation problem, given that he is a smoker is 0.4.