Assume that the probability of developing lung cancer in smokers is 15%; the probability of developing lung cancer in non-smokers is 1%; and the prevalence of smokers in the u. s. is 20%. if a person is diagnosed with lung cancer, what is the probability that he/she is a smoker?

0.789

Step-by-step explanation:

  20 % person smokes and 80 % don't smoke

Probability that a smoker gets lung cancer=15%

Probability that a non smoker gets lung cancer is =1%

Thus

Probability if a person is diagnosed with cancer he/she is a smoker

P=

P=

P==0.789

choice b is correct

step-by-step explanation:

we have been given the following system of inequalities;

we are required to graph the solution to the system of inequalities. using a graphing tool, the graph of the system is as shown in the attachment. the continuous line represents the graph of while the dotted line represents .

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47