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ElaKiri Help
Please help me to do this maths/statistics question using this data sheet.
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<blockquote data-quote="Tom Riddle" data-source="post: 10730278" data-attributes="member: 47610"><p><span style="color: Blue"><span style="font-size: 15px"><span style="color: Red">1. Make the best possible estimate (to the nearest whole number) of the number of females of the entire population older than 24.</span></span></span></p><p><span style="color: Blue"><span style="font-size: 15px"></span></span></p><p><span style="color: Blue"><span style="font-size: 15px">Assuming that the distribution of males and females who are older than 24 is the same as the distribution of the whole population</span></span></p><p><span style="color: Blue"><span style="font-size: 15px"></span></span></p><p><span style="color: Blue"><span style="font-size: 15px">(55400 + 10858 + 10260) * 62678/124456 = 38536</span></span></p><p><span style="color: Blue"><span style="font-size: 15px"></span></span></p><p><span style="color: Blue"><span style="font-size: 15px"></span></span></p><p><span style="color: Blue"><span style="font-size: 15px"></span></span></p><p><span style="color: Blue"><span style="font-size: 15px"><span style="color: red">2. Two persons are selected at random, one from Ocean Reef and one from Heathridge. What is the probability that both are between 5 and 54 years old? </span></span></span></p><p><span style="color: Blue"><span style="font-size: 15px"></span></span></p><p><span style="color: Blue"><span style="font-size: 15px">Total number of people in Ocean Reef = 16180</span></span></p><p><span style="color: Blue"><span style="font-size: 15px">Number of people between 5 and 54 in Ocean Reef = 832 + 2690 + 2686 + 6964 = 13172</span></span></p><p><span style="color: Blue"><span style="font-size: 15px">Prob that the person selected from Ocean Reef is between 5 and 54 years old = 13172/16180</span></span></p><p><span style="color: Blue"><span style="font-size: 15px"></span></span></p><p><span style="color: Blue"><span style="font-size: 15px">Similarly, Prob that the one from Heathridge is between 5 and 54 years old = 34902/41292</span></span></p><p><span style="color: Blue"><span style="font-size: 15px"></span></span></p><p><span style="color: Blue"><span style="font-size: 15px">Prob that BOTH are between 5 and 54 years old = (13172/16180) * (34902/41292) = 0.0678</span></span></p><p><span style="color: Blue"><span style="font-size: 15px"></span></span></p><p><span style="color: Blue"><span style="font-size: 15px"></span></span></p><p><span style="color: Blue"><span style="font-size: 15px"></span></span></p><p><span style="color: Blue"><span style="font-size: 15px"><span style="color: red">3. One person from each of the four suburbs is selected at random. Find the probability that all four persons are male. </span></span></span></p><p><span style="color: Blue"><span style="font-size: 15px"></span></span></p><p><span style="color: Blue"><span style="font-size: 15px">Prob that the person picked from Joondalup is male = 25014/50520 = 0.495</span></span></p><p><span style="color: Blue"><span style="font-size: 15px">Prob that the person picked from Ocean Reef is male = 8118/16180 = 0.502</span></span></p><p><span style="color: Blue"><span style="font-size: 15px">Prob that the person picked from Heathridge is male = 20160 /41292 = 0.488</span></span></p><p><span style="color: Blue"><span style="font-size: 15px">Prob that the person picked from Beldon is male = 8036/16464 = 0.488</span></span></p><p><span style="color: Blue"><span style="font-size: 15px"></span></span></p><p><span style="color: Blue"><span style="font-size: 15px">Prob that all 4 are male = 0.495*0.502*0.488*0.488 = 0.059</span></span></p><p><span style="color: Blue"><span style="font-size: 15px"></span></span></p><p><span style="color: Blue"><span style="font-size: 15px"></span></span></p><p><span style="color: Blue"><span style="font-size: 15px"></span></span></p><p><span style="color: Blue"><span style="font-size: 15px"><span style="color: red">4. Consider all households in Joondalup and Ocean Reef. Make the best possible estimate of their median weekly household income rounded to the nearest dollar. (Do not include a $ sign in your answer, just the number.)</span></span></span></p><p><span style="color: Blue"><span style="font-size: 15px"><span style="color: red"></span></span></span></p><p><span style="color: Blue"><span style="font-size: 15px">Not too sure about this, my wild guess is (1160+1598)/2</span></span></p><p><span style="color: Blue"><span style="font-size: 15px"></span></span></p><p><span style="color: Blue"><span style="font-size: 15px"></span></span></p></blockquote><p></p>
[QUOTE="Tom Riddle, post: 10730278, member: 47610"] [COLOR="Blue"][SIZE="4"][COLOR="Red"]1. Make the best possible estimate (to the nearest whole number) of the number of females of the entire population older than 24.[/COLOR] Assuming that the distribution of males and females who are older than 24 is the same as the distribution of the whole population (55400 + 10858 + 10260) * 62678/124456 = 38536 [COLOR="red"]2. Two persons are selected at random, one from Ocean Reef and one from Heathridge. What is the probability that both are between 5 and 54 years old? [/COLOR] Total number of people in Ocean Reef = 16180 Number of people between 5 and 54 in Ocean Reef = 832 + 2690 + 2686 + 6964 = 13172 Prob that the person selected from Ocean Reef is between 5 and 54 years old = 13172/16180 Similarly, Prob that the one from Heathridge is between 5 and 54 years old = 34902/41292 Prob that BOTH are between 5 and 54 years old = (13172/16180) * (34902/41292) = 0.0678 [COLOR="red"]3. One person from each of the four suburbs is selected at random. Find the probability that all four persons are male. [/COLOR] Prob that the person picked from Joondalup is male = 25014/50520 = 0.495 Prob that the person picked from Ocean Reef is male = 8118/16180 = 0.502 Prob that the person picked from Heathridge is male = 20160 /41292 = 0.488 Prob that the person picked from Beldon is male = 8036/16464 = 0.488 Prob that all 4 are male = 0.495*0.502*0.488*0.488 = 0.059 [COLOR="red"]4. Consider all households in Joondalup and Ocean Reef. Make the best possible estimate of their median weekly household income rounded to the nearest dollar. (Do not include a $ sign in your answer, just the number.) [/COLOR] Not too sure about this, my wild guess is (1160+1598)/2 [/SIZE][/COLOR] [/QUOTE]
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