Assignment 7: Conditional Probability 3) Are betieving that the earth is wamming and beios a Iberal Democrat mutua liy fexciusivel mutuatby exclusire not muatually aiclusive b) What is the probability that a nairinnidy choren rospoindont believes the earth is warning or Is a liteeral. Democrat? (elesse round to four decimat ploces) c) What is tre probatiaity that a rafidomik thotai momopdent believes the earth is warwing given that they. are a Iiberal Democrat?? (6) What is the probabiliny that as randomlvichmene round fo four decimal places) are a comiersative Republican? -) Does it appear that whether er pot a reaconsent beveves (fiede round to four decimal plocea) party ioleblosg? - belsef in siobal warming and party ideology are dependent. betien in stobat warming and party lideology are independent. F) What is the srobubitity that a randomly chocen resoosdent if a invitavat-/liberal Repelblican glven that they do not felieve that the varth is war whit ff ploces. (olease round to four decimat this itheriner. Gartett wakes up tate on wienage 2 days out of every 5, if cannett waies ip Late. the yubabley that ne s Late for schoel is 0.9. If he doesm wake iap iate, the probabitity that he is uabe for ichool is Q.4. Geate a time: 2.23 HIV in Swaziland: Swaziland has the highest HIV prevalence in the world: 25.93 of this country's population is infected with HIV. The ELISA test is one of the Afirst and most accurate tests for HIV. For those who carry HIV, the ELISA test is 99.7% accurate. For those who do not carry HIV, the test is 92.6.5 . accurate. If an individual from Swaziland has tested positive, what is the probability that he carries Hiv? (please round to 4 decimal places) Lacy draws a club from a standard deck of 52 cards: Without replacing the fint card, the then procients to draw a secend card and gets a spade. Are these events independent? Inpeut Yes or No: Determine the probablity of drawing a club and then a spade without replacement. Write your answer in decimat ferm, roanded to four decimat places as noeded. Arswer - Linda draws a club from a standard deck of 52 cards. She roturis the ciob to the deck; then drins a second card. Her second card is a spade. Are theres events independent? Inpust Yes of Hoe Determine the probatrility of drawing a clut and then a spade mist teplincentent. Write your answer in decimal form, rounded to four decimal places as needed. Answer - Duestion Helpd 2.28 Socks in a drawer: In your sock drawer you have 4 blue, 5 gray, and 3 black socks. Half asleep one morning-you grab 2 socks at random and put them on. Find the probabality you end up wearing (Keep three decimal places.) a) 2 blue socks b) no gray secks c) at least 1 black socl d) a gremon seck. e) matching socks .