# PROBABLY NOT

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PROBABILITY

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• LET'S START THE QUIZ!﻿
• A biased die with six faces is rolled. The discrete random variable X represents the score on the uppermost face. The probability distribution of X is shown in the table below. x  1  2  3  4  5  6 P(X=x)  a  a  a  b  b  0.3 (a) Given that E(x)= 4.2 find the value of a and b (b) Show that Ex2﻿= 20.4
• A biased die with six faces is rolled. The discrete random variable X represents the score on the uppermost face. The probability distribution of X is shown in the table below. x  1  2  3  4  5  6 P(X=x)  a  a  a  b  b  0.3 (a) Given that E(x)= 4.2 find the value of a and b (b) Show that Ex2﻿= 20.4
• 3a+2b+0.3=1 3a+2b=0.7(1) a+2a+3a+4b+5b+1.8=4.2 6a+9b=2.4 3a+4.5b=1.2 (2) (2)-(1) 2.5b=0.5 b=0.5/2.5= 0.2 3a+2(0.2)=0.7 a=0.1
• A biased die with six faces is rolled. The discrete random variable X represents the score on the uppermost face. The probability distribution of X is shown in the table below. x  1  2  3  4  5  6 P(X=x)  a  a  a  b  b  0.3 (a) Given that E(x)= 4.2 find the value of a and b (b) Show that Ex2﻿= 20.4
• Ex2=12(0.1)+22(0.1)+32(0.1)+42(0.2)+52(0.2)+62(0.3) =20.4
• TIMES UP!  PASS YOUR PAPER.
• ﻿﻿FOR YOUR ASSIGNMENT, MAKE A COMIC STRIP WHICH TITLE IS "PROBABLY NOT".
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