4846 pregnant women were tested to see if their babies had Down syndrome (D). The results of the test are given in the table. Use the values in the table Blood Test answer parts a-c. Down POS Total NEG 11 D 50 61 D° 1045 3740 4785 Total 1095 3751 4846 a. Given that a test result is negative (NEG), what is the probability that the fetus actually has Down syndrome? P(DINEG) =| (Do not round until the final answer. Then round to four decimal places as needed.) b. Given that the fetus has Down syndrome, what is the probability that the test result is negative? P(NEG|D) =O (Do not round until the final answer. Then round to four decimal places as needed.) c. Is P(DINEG) equal to P(NEG|D)? O A. No, because P(NEG|D) deals with a much smaller pool of fetuses than P(DINEG). O B. Yes, because P(NEG|D) deals with a much smaller pool of fetuses than P(DINEG). Oc. Yes, because P(NEG|D) deals with a much larger pool of fetuses than P(DỊNEG). O D. No, because P(NEG|D) deals with a much larger pool of fetuses than P(DINEG).

4846 pregnant women were tested to see if their babies had Down syndrome (D). The results of the test are given in the table. Use the values in the table Blood Test answer parts a-c. Down POS Total NEG 11 D 50 61 D° 1045 3740 4785 Total 1095 3751 4846 a. Given that a test result is negative (NEG), what is the probability that the fetus actually has Down syndrome? P(DINEG) =| (Do not round until the final answer. Then round to four decimal places as needed.) b. Given that the fetus has Down syndrome, what is the probability that the test result is negative? P(NEG|D) =O (Do not round until the final answer. Then round to four decimal places as needed.) c. Is P(DINEG) equal to P(NEG|D)? O A. No, because P(NEG|D) deals with a much smaller pool of fetuses than P(DINEG). O B. Yes, because P(NEG|D) deals with a much smaller pool of fetuses than P(DINEG). Oc. Yes, because P(NEG|D) deals with a much larger pool of fetuses than P(DỊNEG). O D. No, because P(NEG|D) deals with a much larger pool of fetuses than P(DINEG).

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!

Question

4846 pregnant women were tested to see if their babies had Down syndrome (D). The results of the test are
given in the table. Use the values in the table to answer parts a-c.
Blood Test
Down
POS
NEG
Total
50
11
61
D°
1045
3740
4785
Total
1095
3751
4846
a. Given that a test result is negative (NEG), what is the probability that the fetus actually has Down syndrome?
P(D|NEG) = ||
(Do not round until the final answer. Then round to four decimal places as needed.)
b. Given that the fetus has Down syndrome, what is the probability that the test result is negative?
P(NEG|D) =
(Do not round until the final answer. Then round to four decimal places as needed.)
c. Is P(D|NEG) equal to P(NEG|D)?
A. No, because P(NEG|D) deals with a much smaller pool of fetuses than P(D|NEG).
B. Yes, because P(NEG|D) deals with a much smaller pool of fetuses than P(D|NEG).
C. Yes, because P(NEG|D) deals with a much larger pool of fetuses than P(D|NEG).
O D. No, because P(NEG|D) deals with a much larger pool of fetuses than P(D|NEG).

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