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What is the probability that a randomly selected male in this age range who died had a congenital problem leading to his death? b What is the probability that a child aged 1 to 4 who died as a consequence of a homicide was a female? Find the conditional distribution of cause of death given that the child was a male.

What is the probability that a randomly selected male in this age range who died had a congenital problem leading to his death? b What is the probability that a child aged 1 to 4 who died as a consequence of a homicide was a female? Find the conditional distribution of cause of death given that the child was a male.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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6.35 Refer to Exercises 6.9, 6.13, and 6.23. The proportions X and Y of two chemicals found in samples in an insecticide have the joint probability density function 2, for 0 <x < 1;0 <y < 1;0 <x+y <1 f (x, y) = 0, elsewhere. The random variable Z = X + Y denotes the proportion of the insecticides due to the combination of both chemicals. a Find the mean and the variance of the proportion of the first chemical (X) used in the insecticide. b Find the mean and the variance of the proportion of the insecticides due to the combination of both chemicals. Find an interval within which the values of Z should lie for at least 50% of the samples of insecticide.
Transcribed Image Text:6.35 Refer to Exercises 6.9, 6.13, and 6.23. The proportions X and Y of two chemicals found in samples in an insecticide have the joint probability density function 2, for 0 <x < 1;0 <y < 1;0 <x+y <1 f (x, y) = 0, elsewhere. The random variable Z = X + Y denotes the proportion of the insecticides due to the combination of both chemicals. a Find the mean and the variance of the proportion of the first chemical (X) used in the insecticide. b Find the mean and the variance of the proportion of the insecticides due to the combination of both chemicals. Find an interval within which the values of Z should lie for at least 50% of the samples of insecticide.
6.18 In Exercise 6.4, we were interested in the causes of death and its relationship to sex, age, race, and so on As we did there, let X be the random variable associated with cause of death and Y be the random variable representing sex. Cause of Death Female Male Total Accidents (unintentional injuries) Congenital Problems Assault (homicide) 617 1024 1641 248 282 530 189 234 423 Other 998 1266 2264 Total 2052 2806 4858 Source: CDCN/NCHS. What is the probability that a randomly selected male in this age range who died had a congenital problem leading to his death? What is the probability that a child aged 1 to 4 who died as a consequence of a homicide was a female? Find the conditional distribution of cause of death given that the child was a male. Find the conditional distribution of sex given that the death was accidental. e Are the cause of death and sex independent? Justify your answer.
Transcribed Image Text:6.18 In Exercise 6.4, we were interested in the causes of death and its relationship to sex, age, race, and so on As we did there, let X be the random variable associated with cause of death and Y be the random variable representing sex. Cause of Death Female Male Total Accidents (unintentional injuries) Congenital Problems Assault (homicide) 617 1024 1641 248 282 530 189 234 423 Other 998 1266 2264 Total 2052 2806 4858 Source: CDCN/NCHS. What is the probability that a randomly selected male in this age range who died had a congenital problem leading to his death? What is the probability that a child aged 1 to 4 who died as a consequence of a homicide was a female? Find the conditional distribution of cause of death given that the child was a male. Find the conditional distribution of sex given that the death was accidental. e Are the cause of death and sex independent? Justify your answer.
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