P.17 A continuous random variable Y has pdf Lono bed vnum wol" boses nomow bornem to you bina Sano bar vodi binz R2 onon be 0

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Chapter1: Starting With Matlab
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Please answer question 17. Thank you!
Total
31,418
a. Compute the probability that a randomly drawn person has breast cancer.
b. Compute the probability that a randomly drawn female has breast cancer.
d.
c. Compute the probability that a person is female given that the person has breast cancer.
What is the conditional probability function for the prevalence of breast cancer given that the
is female?
person
e.
30,374 61,792
udhazib
What is the conditional probability function for the prevalence of breast cancer given that the person
is male?
P.17 A continuous random variable Y has pdf
9 nam woH" beles nomow barnem
Low: bisa Sono bar vodi binz 2.
italoqoq ona2y 0<y<1
078 03mov
{2
szegods i siella ono bed oved How much f(y) =
otherwise arit vtilidsdong of i
a. Sketch the pdf.
vimobnere indi yilidadang
b. Find the cdf, F(y) = P(Y ≤y) and sketch it. [Hint: Requires calculus.]
c. Use the pdf and a geometric argument to find the probability P(Y≤ 1/2).
d. Use the cdf from part (b) to compute P(Y≤ 1/2).
e. Using the pdf and a geometric argument find the probability P(1/4 ≤ y ≤ 3/4).
f. Use the cdf from part (b) to compute P(1/4 ≤Y ≤ 3/4).
P.18 Answer each of the following: bw bairmat cerdo vin bund
a. An internal revenue service auditor knows that 3% of all income tax forms contain errors. Returns
are assigned randomly to auditors for review. What is the probability that an auditor will have to
Transcribed Image Text:Total 31,418 a. Compute the probability that a randomly drawn person has breast cancer. b. Compute the probability that a randomly drawn female has breast cancer. d. c. Compute the probability that a person is female given that the person has breast cancer. What is the conditional probability function for the prevalence of breast cancer given that the is female? person e. 30,374 61,792 udhazib What is the conditional probability function for the prevalence of breast cancer given that the person is male? P.17 A continuous random variable Y has pdf 9 nam woH" beles nomow barnem Low: bisa Sono bar vodi binz 2. italoqoq ona2y 0<y<1 078 03mov {2 szegods i siella ono bed oved How much f(y) = otherwise arit vtilidsdong of i a. Sketch the pdf. vimobnere indi yilidadang b. Find the cdf, F(y) = P(Y ≤y) and sketch it. [Hint: Requires calculus.] c. Use the pdf and a geometric argument to find the probability P(Y≤ 1/2). d. Use the cdf from part (b) to compute P(Y≤ 1/2). e. Using the pdf and a geometric argument find the probability P(1/4 ≤ y ≤ 3/4). f. Use the cdf from part (b) to compute P(1/4 ≤Y ≤ 3/4). P.18 Answer each of the following: bw bairmat cerdo vin bund a. An internal revenue service auditor knows that 3% of all income tax forms contain errors. Returns are assigned randomly to auditors for review. What is the probability that an auditor will have to
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