problem se: 2-Word Fnd les A survey of 500 men and 500 women designed to study f

Question

problem se: 2-Word Fnd les A survey of 500 men and 500 women designed to study financial tensions between couples asked how likely each was to hide purchases of clothing from his or her partner. The results were as follows: 4. Likely to Hide Purchases of Clothing Yes No Total vlen 62 438 500 Women 116 384 500 Total 178 822 1000 Extracted from L. wei, “Your Money Manager as Financial Therapist". The Wall Street Journal, November 5-6, 2005, p B4 If a respondent is chosen at random, what is the probability that (a) he or she hides clothing purchases? (b) the person is a female and hides clothing purchases? (c) the person is a female or hides clothing purchases? Screenshot saved 5. The American Journal of Public Health (Jan. 2002) reported on a study of elderl prablerr seet 2-Woord 9 20 2018 3_19_12 PMMpng O lype hene to search

Explanation / Answer

From above table we find the following probabilities,

a) P(hides clothing purches) = 178/1000 = 0.178

Therefore, if a respondent is chosen at random, the probability that he or she hides clothing purchases is 0.178

b)

P(female and hides clothing purchases)=116/1000= 0.116

Therefore, if a respondent is chosen at random, the person is a female and hides clothing purchases is 0.116

C)

P(female or hides clothing purchases)

= P(female)+P(hides clothing purchases) - P(female and hides clothing purchases)

= (500/1000) + (178/1000) - (116/1000)

= 562/1000

= 0.562

Therefore, if a respondent is chosen at random, the person is a female or hides clothing purchases is 0.562

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