Finding $P(Y leq 0.49)$ with standard normal distribution











up vote
0
down vote

favorite












The problem is as such below



enter image description here



With the given information:



$P(Y leq 0.49)$ and I am provided a standard normal distribution table (which I think is meant for this question...)



So I believe I have to find $F(0.49)=Phi(frac{0.49-mu}{sigma})=Phi(frac{0.49-0}{frac{1}{100}})$ , central limit theorem, and $Phi(49)$ is wrong as 49 is too big for Z. So did I approach the problem wrong, or did I make a mistake by applying the central limit theorem and standard normal distribution assumptions.






probability proof-verification







share|cite|improve this question


























    up vote
    0
    down vote

    favorite












    The problem is as such below



    enter image description here



    With the given information:



    $P(Y leq 0.49)$ and I am provided a standard normal distribution table (which I think is meant for this question...)



    So I believe I have to find $F(0.49)=Phi(frac{0.49-mu}{sigma})=Phi(frac{0.49-0}{frac{1}{100}})$ , central limit theorem, and $Phi(49)$ is wrong as 49 is too big for Z. So did I approach the problem wrong, or did I make a mistake by applying the central limit theorem and standard normal distribution assumptions.






    probability proof-verification







    share|cite|improve this question
























      up vote
      0
      down vote

      favorite









      up vote
      0
      down vote

      favorite











      The problem is as such below



      enter image description here



      With the given information:



      $P(Y leq 0.49)$ and I am provided a standard normal distribution table (which I think is meant for this question...)



      So I believe I have to find $F(0.49)=Phi(frac{0.49-mu}{sigma})=Phi(frac{0.49-0}{frac{1}{100}})$ , central limit theorem, and $Phi(49)$ is wrong as 49 is too big for Z. So did I approach the problem wrong, or did I make a mistake by applying the central limit theorem and standard normal distribution assumptions.






      probability proof-verification







      share|cite|improve this question













      The problem is as such below



      enter image description here



      With the given information:



      $P(Y leq 0.49)$ and I am provided a standard normal distribution table (which I think is meant for this question...)



      So I believe I have to find $F(0.49)=Phi(frac{0.49-mu}{sigma})=Phi(frac{0.49-0}{frac{1}{100}})$ , central limit theorem, and $Phi(49)$ is wrong as 49 is too big for Z. So did I approach the problem wrong, or did I make a mistake by applying the central limit theorem and standard normal distribution assumptions.






      probability proof-verification




      probability proof-verification






      share|cite|improve this question













      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked 10 hours ago









      glockm15

      32518




      32518



























          active

          oldest

          votes











          Your Answer





          StackExchange.ifUsing("editor", function () {
          return StackExchange.using("mathjaxEditing", function () {
          StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
          StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
          });
          });
          }, "mathjax-editing");

          StackExchange.ready(function() {
          var channelOptions = {
          tags: "".split(" "),
          id: "69"
          };
          initTagRenderer("".split(" "), "".split(" "), channelOptions);

          StackExchange.using("externalEditor", function() {
          // Have to fire editor after snippets, if snippets enabled
          if (StackExchange.settings.snippets.snippetsEnabled) {
          StackExchange.using("snippets", function() {
          createEditor();
          });
          }
          else {
          createEditor();
          }
          });

          function createEditor() {
          StackExchange.prepareEditor({
          heartbeatType: 'answer',
          convertImagesToLinks: true,
          noModals: true,
          showLowRepImageUploadWarning: true,
          reputationToPostImages: 10,
          bindNavPrevention: true,
          postfix: "",
          imageUploader: {
          brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
          contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
          allowUrls: true
          },
          noCode: true, onDemand: true,
          discardSelector: ".discard-answer"
          ,immediatelyShowMarkdownHelp:true
          });


          }
          });














           

          draft saved


          draft discarded


















          StackExchange.ready(
          function () {
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f2999450%2ffinding-py-leq-0-49-with-standard-normal-distribution%23new-answer', 'question_page');
          }
          );

          Post as a guest















          Required, but never shown






























          active

          oldest

          votes













          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes
















           

          draft saved


          draft discarded



















































           


          draft saved


          draft discarded














          StackExchange.ready(
          function () {
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f2999450%2ffinding-py-leq-0-49-with-standard-normal-distribution%23new-answer', 'question_page');
          }
          );

          Post as a guest















          Required, but never shown





















































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown

































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown







          -

          Popular posts from this blog

          Quarter-circle Tiles

          Image
          up vote 0 down vote favorite I have $99$ identical square tiles, each with a quarter-circle drawn on it like this: [asy] size(1.5cm); draw(Arc((2,0),1,90,180),red+1); draw((0,0)--(2,0)--(2,2)--(0,2)--(0,0)); [/asy] When I arrange the tiles in a $9times 11$ rectangular grid, each with a random orientation, what is the expected value of the number of full circles I form? I think this problem has to do with finding the chance any given 2x2 square has a circle, but I can't find it. expected-value share | cite | improve this question asked Nov 20 at 15:03 6minecraftninja 1 2
          Read more

          build a pushdown automaton that recognizes the reverse language of a given pushdown automaton?

          Image
          0 I think it's similiar to NFAs. I replace the finite states of the given automaton for start-states for my new automaton. I do it with $epsilon$ -transition from the start state to the actual finite states of the given automaton. The start state of the given automaton will be my accepting(finite) state of my new one. All transitions will be reversed of course to recognize the reversed word. But how do I have to change the stack of the pushdown automaton? That's tricky. formal-languages automata context-free-grammar share | cite | improve this question edited Nov 29 '18 at 14:20 joee
          Read more

          Mont Emei

          Image
          Mont Emei.mw-parser-output .entete.map{background-image:url("//upload.wikimedia.org/wikipedia/commons/7/7a/Picto_infobox_map.png")} Vue du sommet Wanfo du mont Emei Géographie Altitude 3 099  m , Wanfo Coordonnées 29° 31′ 11″ nord, 103° 19′ 57″ est Administration Pays   Chine Province Sichuan Ville-préfecture Leshan Géolocalisation sur la carte : Sichuan Mont Emei Géolocalisation sur la carte : Chine Mont Emei modifier   Paysage panoramique du mont Emei, incluant le paysage panoramique du grand Bouddha de Leshan *   Patrimoine mondial de l'UNESCO Passerelle en bois sur le versant ouest Pays   Chine Subdivision Sichuan Type Mixte Critères (iv) (vi) (x) Superficie 15 400 ha Numéro d’identification 779 Zone géographique Asie et Pacifique  ** Année d’inscription 1996 (20 e session) * Descriptif officiel UNESCO ** Classification géog
          Read more