{"id":13101,"date":"2021-11-02T12:09:39","date_gmt":"2021-11-02T12:09:39","guid":{"rendered":"https:\/\/assignmenttutors.net\/blog\/ihp-525-module-three-problem-set\/"},"modified":"2021-11-02T12:09:39","modified_gmt":"2021-11-02T12:09:39","slug":"ihp-525-module-three-problem-set","status":"publish","type":"post","link":"https:\/\/assignmenttutors.net\/blog\/ihp-525-module-three-problem-set\/","title":{"rendered":"Ihp 525 module three problem set"},"content":{"rendered":"
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IHP 525 Module Three Problem Set<\/span><\/strong><\/p>\n

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1.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>What is the probability of being born on:<\/p>\n

a)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>February 28?<\/p>\n

b)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>February 29?<\/p>\n

c)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>February 28 or February 29?<\/p>\n

\u00a0<\/p>\n

\u00a0<\/p>\n

2.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>A patient newly diagnosed with a serious ailment is told he has a 60% probability of surviving 5 or more years. Let us assume this statement is accurate. Explain the meaning of this statement to someone with no statistical background in terms he or she will understand.<\/p>\n

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3.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>A lottery offers a grand prize of $10 million. The probability of winning this grand prize is 1 in 55 million (about 1.8×10-8<\/sup>). There are no other prizes, so the probability of winning nothing = 1 \u2013 (1.8×10-8<\/sup>) = 0.999999982. The probability model is:<\/p>\n

\u00a0<\/p>\n

\n\n\n\n\n
\n

Winnings (X<\/em>)<\/p>\n<\/td>\n

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0<\/p>\n<\/td>\n

\n

$10 x 106<\/sup><\/p>\n<\/td>\n<\/tr>\n

\n

P(X<\/em>\u00a0=\u00a0xi<\/sub><\/em>)<\/p>\n<\/td>\n

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0.999999982<\/p>\n<\/td>\n

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1.8 x 10-8<\/sup><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

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a)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>What is the expected value of a lottery ticket?<\/p>\n

b)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>Fifty-five million lottery tickets will be sold. How much does the proprietor of the lottery need to charge per ticket to make a profit?<\/p>\n

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4.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>Suppose a population has 26 members identified with the letters A through Z.<\/p>\n

\u00a0<\/p>\n

a)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>You select one individual at random from this population. What is the probability of selecting individual A?<\/p>\n

b)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>Assume person A gets selected on an initial draw, you replace person A into the sampling frame, and then take a second random draw. What is the probability of drawing person A on the second draw?<\/p>\n

c)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>Assume person A gets selected on the initial draw and you sample again without replacement. What is the probability of drawing person A on the second draw?<\/p>\n

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5.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>Let A represent cat ownership and B represent dog ownership. Suppose 35% of households in a population own cats, 30% own dogs, and 15% own both a cat and a dog. Suppose you know that a household owns a cat. What is the probability that it also owns a dog?<\/p>\n

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\u00a0<\/p>\n

6.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>What is the complement of an event?<\/p>\n

\u00a0<\/p>\n

7.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>Accidents occur along a 5-mile stretch of highway at a uniform rate. The following \u201ccurve\u201d depicts the probability density function for accidents along this stretch:<\/p>\n

\u00a0<\/p>\n

\u00a0<\/p>\n

\u00a0<\/p>\n

a)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>What is the probability that an accident occurred in the first mile along this stretch of highway?<\/p>\n

b)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>What is the probability that an accident did\u00a0not<\/em>\u00a0occur in the first mile?<\/p>\n

c)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>What is the probability that an accident occurred between miles 2.5 and 4?<\/p>\n

\u00a0<\/p>\n

\u00a0<\/p>\n

8.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>Suppose there were 4,065,014 births in a given year. Of those births, 2,081,287 were boys and 1,983,727 were girls.<\/p>\n

\u00a0<\/p>\n

a)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>If we randomly select two women from the population who then become pregnant, what is the probability both children will be boys?<\/p>\n

b)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>If we randomly select two women from the population who then become pregnant, what is the probability that the first woman\u2019s child will be a boy and the second woman\u2019s child will be a boy?<\/p>\n

c)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>If we randomly select two women from the population who then become pregnant, what is the probability that both children will be boys given that at least one child is a boy?<\/p>\n

\u00a0<\/p>\n

\u00a0<\/p>\n

9.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>Explain the difference between mutually exclusive and independent events.<\/p>\n

\u00a0<\/p>\n

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10.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/span>Suppose a screening test has a sensitivity of 0.80 and a false-positive rate of 0.02. The test is used on a population that has a disease prevalence of 0.007. Find the probability of having the disease given a positive test result.<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

IHP 525 Module Three Problem Set \u00a0 1.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0What is the probability of being born on: a)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0February 28? b)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0February 29? c)\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0February 28 or February 29? \u00a0 \u00a0 2.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0A patient newly diagnosed with a serious ailment is told he has a 60% probability of surviving 5 or more years. Let us assume this statement is accurate. Explain […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[31],"tags":[],"class_list":["post-13101","post","type-post","status-publish","format-standard","hentry","category-homework-help"],"_links":{"self":[{"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/posts\/13101","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/comments?post=13101"}],"version-history":[{"count":0,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/posts\/13101\/revisions"}],"wp:attachment":[{"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/media?parent=13101"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/categories?post=13101"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/assignmenttutors.net\/blog\/wp-json\/wp\/v2\/tags?post=13101"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}