Lab 10 - Probability with TablesProblem 1: You are visiting your grandparents and you want to watch a movie. They do not havea DVD player or cable television, but they do have a VCR and a box of 30 old videotapes. The boxcontains 10 black-and-white westerns, 3 color westerns, 6 black-and-white dramas, 3 color dramas, 7black-and-white musicals and 1 color musical. The videotapes do not have any labels, so you cannottell which movie you are taking(a) Organize the data in the contingency table belowWestern (WDrama (DMusical (MTotalBlack & White (BColor (CTotaSuppose you pick one tape to watch.(b) What is the probability it is a color drama?(c) What is the probability it is in color?(d) What is the probability it is a drama?(e) What is the probability it is in color or a drama?

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Asked Mar 4, 2019
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I wanted help and to get ahead of my class. I need help with probability and explaining it. I would appreciate if it could be explained to me ASAP. Thank you

Lab 10 - Probability with Tables
Problem 1: You are visiting your grandparents and you want to watch a movie. They do not have
a DVD player or cable television, but they do have a VCR and a box of 30 old videotapes. The box
contains 10 black-and-white westerns, 3 color westerns, 6 black-and-white dramas, 3 color dramas, 7
black-and-white musicals and 1 color musical. The videotapes do not have any labels, so you cannot
tell which movie you are taking
(a) Organize the data in the contingency table below
Western (W
Drama (D
Musical (M
Total
Black & White (B
Color (C
Tota
Suppose you pick one tape to watch.
(b) What is the probability it is a color drama?
(c) What is the probability it is in color?
(d) What is the probability it is a drama?
(e) What is the probability it is in color or a drama?
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Lab 10 - Probability with Tables Problem 1: You are visiting your grandparents and you want to watch a movie. They do not have a DVD player or cable television, but they do have a VCR and a box of 30 old videotapes. The box contains 10 black-and-white westerns, 3 color westerns, 6 black-and-white dramas, 3 color dramas, 7 black-and-white musicals and 1 color musical. The videotapes do not have any labels, so you cannot tell which movie you are taking (a) Organize the data in the contingency table below Western (W Drama (D Musical (M Total Black & White (B Color (C Tota Suppose you pick one tape to watch. (b) What is the probability it is a color drama? (c) What is the probability it is in color? (d) What is the probability it is a drama? (e) What is the probability it is in color or a drama?

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Expert Answer

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Step 1

(a) Organizing the data:

Denote n as the total number of videotapes in the box and n (X) as the number of videos of category X, where X can be any of W, D, M, B, C, or the intersection of any 2 categories.

Using the available information, the data can be organized as follows:

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Step 2

Calculation for part (b):

The probability that the selected tape is of a color drama is the number of videotapes in the cell corresponding to row “Color” and column “Drama”, divided by the total number of videotapes in the data set, calculated as follows:

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Step 3

Calculation for part (c):

The probability that the selected tape is in color is the total number of videotapes in the row &l...

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