Q7- (12 pts) There are n stars in the sky that are visible- John and S.pdf

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Q7. (12 pts) There are n stars in the sky that are visible. John and Susan each count the stars, independently. Each of them never overcounts a star, but they may miss some of the stars. (I.e., they either count it exactly once, or not at all.) The probability that John missing any particular star is p J ; the probability that Susan misses a star is p S . Let X be the number of stars that John counts, and let Y be the number of stars that Susan counts. Finally, let W be the number of stars that are counted (by John or by Susan). What precisely are the distributions of X , Y , and W ? (If they are named distributions, give the name and the parameters and some justification.).

Q7. (12 pts) There are n stars in the sky that are visible. John and Susan each count the stars,
independently. Each of them never overcounts a star, but they may miss some of the stars. (I.e.,
they either count it exactly once, or not at all.) The probability that John missing any particular
star is p J ; the probability that Susan misses a star is p S . Let X be the number of stars that John
counts, and let Y be the number of stars that Susan counts. Finally, let W be the number of stars
that are counted (by John or by Susan). What precisely are the distributions of X , Y , and W ? (If
they are named distributions, give the name and the parameters and some justification.)

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size separation d pharm 1st year pharmaceutics

size separation d pharm 1st year pharmaceutics

size separation d pharm 1st year pharmaceutics

Introduction to Quality Improvement Essentials

Introduction to Quality Improvement Essentials

Introduction to Quality Improvement Essentials

The impact of social media on mental health and well-being has been a topic o...

The impact of social media on mental health and well-being has been a topic o...

The impact of social media on mental health and well-being has been a topic o...

Q7- (12 pts) There are n stars in the sky that are visible- John and S.pdf

1. Q7. (12 pts) There are n stars in the sky that are visible. John and Susan each count the stars, independently. Each of them never overcounts a star, but they may miss some of the stars. (I.e., they either count it exactly once, or not at all.) The probability that John missing any particular star is p J ; the probability that Susan misses a star is p S . Let X be the number of stars that John counts, and let Y be the number of stars that Susan counts. Finally, let W be the number of stars that are counted (by John or by Susan). What precisely are the distributions of X , Y , and W ? (If they are named distributions, give the name and the parameters and some justification.)