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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

Item | Price (USD) | Silk Organza Slim Fit Shirt | 495.00 | Geometric Beaded Cotton Shirt | 495.00 | Virgin Wool Tailored Trouses | 750.00 | Leanen Pleat Front Skirt | 895.00 | Pleat Front Haritage Skirt | 895.00 | Pleated Front Haritage Skirt | 895.00 | Stretch Tailored Trousers | 895.00 | Pleat Front Silk Skirt | 995.00 | Twill Pleat Front Trousers | 995.00 | Contrast Woven Sweater | 995.00 | Silk Blend Aztec Sweater | 995.00 | Bead Detail Striped Sweater | 1,095.00 | Cotton Blend Textured Top | 1,095.00 | Pleat Front Tailored Trousers | 1,095.00 | Silk Herritage Blouse | 1,295.00 | Wooden Button Knit Cardigen | 1,295.00 | Bow Detail Silk Top | 1,295.00 | Virgin Wool and Nilon Jacket | 1,495.00 | Wool Pluff Shoulder Jacket | 1,795.00 | Corpped Linen Parka | 1,995.00 | Silk Blend Drapped Skirt | 1,995.00 | Print Panel Silk Dress | 1,995.00 | Pleated Peplum Jacket | 1,995.00 | Geometric Bead Linen Top | 1,995.00 | Bead and Crochet Sweater | 1,995.00 | Corped Croched Beaded Parka | 2,395.00 | Eclectic Print Silk Jacket | 2,495.00 | Corpped Crochet Beaded Parka | 2,495.00 | Stripped Trench Coat | 2,595.00 | Rafia Collar Trench Coat | 2,595.00 | Blanket Stitch Trench Coat | 2,795.00 | Suede Leather Peplum Jacket | 2,995.00 | Corped Croched Beaded Parka | 2,995.00 | Bonded Leather Peplum Jacket | 2,995.00 | Woven Rafia Trench Coat | 2,995.00 | Striped Belted Coat | 2,995.00 | Ruched Silk Dress | 2,995.00 | Eclectic Ruched Silk Panel Dress | 2,995.00 | Wrap Trench Coat | 3,195 | Full Skirt Trench Coat | 3,595.00 | Silk Blend Trench Coat | 3,995.00 | Eclectic Print Skirt Dress | 3,995.00 | Brogue Leather Jacket | 3,995.00 | Bead Detail Trench Coat | 3,995.00 | Eclectic Print Silk Dress | 3,995.00 | Bead Detail Long Coat | 3,995.00 | Silk Blend Print Dress | 3,995.00 | Bead Crochet Trench Coat | 4,995.00 | Beaded Collar Corpped Parka | 5,500.00 | Blanket Stitch Trench Coat | 6,000 |

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