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# Probability

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Probability

Question 1
The comparison between the bar chart and histogram are bar graphs are normally used to represent the frequency of discrete items. They can be things, like colours, or things with no particular order. But the main thing about it is the items are not grouped, and they are not continuous. Where else for the histogram is mainly used to represent the frequency of a continuous variable like height or weight and anything that has a decimal placing and would not be exact in other words a whole number. An example of both the graphs:-
Bar Graph Histogram

These 2 graphs both look similar but however, in a histogram the bars must be touching. This is because the data used are number that are grouped and in a continuous range from left to right. But as for the bar graph the x axis would have its individual data like colours shown in the above.
Question 2 a) i) The probability of females who enjoys shopping for clothing are 224/ 500 = 0.448. ii) The probability of males who enjoys shopping for clothing are 136/500 = 0.272. iii) The probability of females who wouldn’t enjoy shopping for clothing are 36/500 = 0.072. iv) The probability of males who wouldn’t enjoy shopping for clothing are 104/500 = 0.208.

b)
P (AᴗB)
= P(A)+P(B)-P(AᴖB)

P (A|B) = P(AᴖB)P(B) > 0

P (B|A) = PAᴖBPA

PAᴖBPB = PAᴖBPA

PAPB = 1

P(A) = P(B)

P(AᴗB) = 1

P(A)+P(B) = 1
P(B) > 0.25
Question 3 1. Frequency Distribution of Burberry Clothing Collection Class (USD) | Frequency | 0 up to 500 | 2 | 500 up to 1,000 | 9 | 1,000 up to 1,500 | 7 | 1,500 up to 2,000 | 7 | 2,000 up to 2,500 | 3 | 2,500 up to 3,000 | 10 | 3,000 up to 3,500 | 1 | 3,500 up to 4,000 | 8 | 4,000 up to 4,500 | 0 | 4,500 up to 5,000 | 1 | 5,000 up to 5,500 | 0 | 5,500 up to 6,000 | 2 | Total | 50 | 2. For the data chosen the level of measurement would be the continuous variable. 3. Histogram | |

Appendix 1) http://www.google.com.my/search?hl=en&safe=off&q=examples+of+bar+graph+histogram&bav=on.2,or.r_gc.r_pw.r_qf.,cf.osb&biw=1920&bih=979&um=1&ie=UTF-8&tbm=isch&source=og&sa=N&tab=wi&ei=jaWcT5r7EsmqrAenp-lD 2) http://www.worsleyschool.net/science/files/bargraphs/page.html 3) http://www.google.com.my/search?hl=en&safe=off&q=examples+of+bar+graph+histogram&bav=on.2,or.r_gc.r_pw.r_qf.,cf.osb&biw=1920&bih=979&um=1&ie=UTF- S1&aql=&gs_nf=1&gs_l=img.3..0i24.7105762.7111569.0.7112013.19.19.0.4.4.0.79.654.15.15.0.du YwXbeBgE&pbx=1&bav=on.2,or.r_gc.r_pw.r_qf.,cf.osb&fp=d7ad6fd7333de411&biw=1920&bih=979 4) http://us.burberry.com/store/womenswear/prorsum/?WT.ac=LP_APR_WW_B5_PRORSUM_WOMENSWEAR 5) http://stattrek.com/statistics/charts/histogram.aspx 6) http://mathcentral.uregina.ca/QQ/database/QQ.09.99/raeluck1.html 7) http://www.oandp.org/jpo/library/1993_04_121.asp

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