Recycle the non-zero digits of your student ID number until you have 10 digits. Suppose each digit was written on a piece of paper, and the ten pieces of paper put in a hat. Label the random variable using the last consonant in your family name. Also, let a be the smallest digit greater than 1 in your ID number, and let b be the number of letters in your family name. e.g. a student named John Randal with ID number 300012345 would have: 3,1,2,3,4,5,3,1,2,3, a = 2 and b = 6, and would label the random variable L. A second student Luke Chu with ID number 300101018 would have: 3,1,1,1,8,3,1,1,1,8, a = 3 and b 3 and would label the random variable H. = With eyes closed, you select a piece of paper randomly from the hat. Let the random variable be the digit written on this piece of paper. Noting that each piece of paper has probability of being selected:

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
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Chapter5: Factoring Polynomials
Section5.1: Factoring Integers
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Please answer q's a, b, and c

For this case, a=3, b=9, and label the random variable A.

Student ID number: 300546514

Recycle the non-zero digits of your student ID number until you have 10 digits. Suppose
each digit was written on a piece of paper, and the ten pieces of paper put in a hat. Label the
random variable using the last consonant in your family name. Also, let a be the smallest digit
greater than 1 in your ID number, and let b be the number of letters in your family name.
= 2
e.g. a student named John Randal with ID number 300012345 would have: 3,1,2,3,4,5,3,1,2,3, a
and b 6, and would label the random variable L. A second student Luke Chu with ID number
300101018 would have: 3,1,1,1,8,3,1,1,1,8, a = 3 and b 3 and would label the random variable H.
=
=
With eyes closed, you select a piece of paper randomly from the hat. Let the random variable
be the digit written on this piece of paper. Noting that each piece of paper has probability 10
of being selected:
(a) Report the outcome space and the probability function f(x) of the random variable.
(b) Calculate the mean of the random variable, showing all working.
(c) Calculate the standard deviation of the random variable, showing all working.
Transcribed Image Text:Recycle the non-zero digits of your student ID number until you have 10 digits. Suppose each digit was written on a piece of paper, and the ten pieces of paper put in a hat. Label the random variable using the last consonant in your family name. Also, let a be the smallest digit greater than 1 in your ID number, and let b be the number of letters in your family name. = 2 e.g. a student named John Randal with ID number 300012345 would have: 3,1,2,3,4,5,3,1,2,3, a and b 6, and would label the random variable L. A second student Luke Chu with ID number 300101018 would have: 3,1,1,1,8,3,1,1,1,8, a = 3 and b 3 and would label the random variable H. = = With eyes closed, you select a piece of paper randomly from the hat. Let the random variable be the digit written on this piece of paper. Noting that each piece of paper has probability 10 of being selected: (a) Report the outcome space and the probability function f(x) of the random variable. (b) Calculate the mean of the random variable, showing all working. (c) Calculate the standard deviation of the random variable, showing all working.
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