STATS PROBABILITY HELP! Like all medical tests, a mammogram, a test for breast cancer, does not always detect accurately. It is estimated that mammograms produce 5% false positives (indicate cancer when there is none) and 10% false negatives (indicate no cancer when there is cancer). According to the CDC, the breast cancer rate among American women in 2020 was 0.0012.
a.) Create a tree diagram showing the probabilities of the results of mammograms.

Find these probabilities.
b.) P(tests positive | does not have breast cancer)

c.) P(tests negative | does not have breast cancer)

d.) P(has breast cancer and tests negative)

e.) P(does not have breast cancer and tests negative)

f.) P(tests accurately)

g.) P(tests inaccurately)

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step-by-step explanation:

step-by-step explanation:

in which figure is point g a centroid

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.

step-by-step explanation:

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