Suppose that 40% of Australian cattle dogs have black coats; these individuals are commonly referredto as "Blue Heelers" as opposed to "Red Heelers". Among Blue Heelers, 35% of individualshave bilateral masks and 25% have unilateral masks. About 50% of Red Heelers exhibit no eyemasking and 10% have bilateral masks. Let M represent the event that an Australian cattle dog has a facial mask, where M2 represents abilateral mask, M1 represents a unilateral mask, and M0 indicates lack of a mask.
a) Calculate the probability an Australian cattle dog has a facial mask and a black coat. b) Calculate the prevalence of bilateral masks in Australian cattle dogs. c) Among Australian cattle dogs with bilateral facial masks, what is the probability ofbeing a Red Heeler?d) Unilateral deafness occurs in Red Heelers with probability 0.15, in both dogs thateither lack facial masking or exhibit a unilateral mask; for both unmasked and unilaterallymasked Red Heelers, 60% of dogs are not deaf. The overall prevalence of bilaterally masked

The solution is given in the attachments below.

x intercept = (-1,0)   (4,0)

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer