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    H2 Physics and Math Discussion

    Scheduled Pinned Locked Moved Tertiary Education - A-Levels, Diplomas, Degrees
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    • V Offline
      violin_lover
      last edited by

      Hi guys, feel free to post any question on Physics and Math here. I’ll try my best to help you answer the questions. Many students were caught off guard by the Mathematical Induction problem in the ‘A’ level exam last year. I hope it wil not happan again. P.S. I am not a full time tutor, just an engineer who is using stochastic process in my daily work and love to solve Math/Physics questions (I am more into Math than Physics)

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      • B Offline
        babyluvv
        last edited by

        Post removed :snooze:

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        • V Offline
          violin_lover
          last edited by

          i) probability that no camera is defective = (1-0.05)^20 = 0.3585

          ii) probability that at most 2 cameras are defective = P(X=0)+P(X=1)+P(X=2) = 0.3585 + 20(0.05)(0.95)^19 + 20C2(0.05)^2(0.95)^18 = 0.3585 + 0.3774 + 0.1887 = 0.9246
          iii) mean is 20*0.05 = 1; standard deviation is sqrt(np(1-p) )= 0.975

          i) probability that exactly 12 cups of coffee were sold in 2 hours.
          Average in 2 hours is 20 cups. Hence, P(X=12) = 0.01763

          ii) probability that in an hour more than 3 cups of coffee are sold.
          = 1- P(Y=0) - P(Y=1) - P(Y=2) - P(Y=3) = 0.01034

          Feel free to PM me if you need any assistance 🙂

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          • V Offline
            violin_lover
            last edited by

            I welcome H3 Math too 😄

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            • V Offline
              violin_lover
              last edited by

              Received too many email queries. I have decided to remove my info and contact :-). If you are a part time/full time tutor, please try to solve your own questions. My aim is to assist students (or parents whose kids are taking H2 Math)

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              • B Offline
                Belleza momma
                last edited by

                Hi,


                May I know how did you work out for the above answers? the detailed workings?

                Thank you!

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                • V Offline
                  violin_lover
                  last edited by

                  Belleza momma:
                  Hi,


                  May I know how did you work out for the above answers? the detailed workings?

                  Thank you!
                  Send me an email or leave your email contact here. It's hard to type symbol on the forum. I will scan it and email you.

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                  • B Offline
                    Belleza momma
                    last edited by

                    Ok, email sent !

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                    • C Offline
                      Chris880817
                      last edited by

                      can i have the detailed working for above answer ??pls


                      mine email is [email protected]

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                      • G Offline
                        georgeyoshie.033923yahoo.033923com
                        last edited by

                        Hi


                        Good to know that there is a kind soul out there.

                        How to integrate (e^x)*(x^1/2) ? I tried integration by parts, but seems endless.
                        Checked the online solver and the answer has imaginary part in it.

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