A study of salaries and sex found the following: Show all work. Under $30,000 Fe
ID: 3062261 • Letter: A
Question
A study of salaries and sex found the following: Show all work. Under $30,000 Female Male $30,000 and up 210 240 190 360 23. The probability of being a male is: (a) less than 35% (b) 36% (c) 42% (d) 48% (e) 56% (f) 60% (g)66% (h) 75% (i) 80% (j) more than 80c/o 1. The probability that an individual is a female earning under $30,000 is: (a) less than 5% (b) 6% (c) 8% (d) 10% (e) 12% (0 15% (g) 21% (h) 25% (i) 30% (j) more than 30% 2. The probability that an individual is a female or earning under $30,000 is: (a) less than 50% (b) 51% (c) 53% (d) 55% (e) 58% (f) 60% (g) 62% (h) 64% (i) 70% (j) more than 70% 3. The probability that an individual earns over $30,000 given that the individual is female is: (a)less than 35% (b) 36.4% (c) 38.5% (d) 41.4% (e) 44.3% (f) 46.2% (g) 47.5% (h) 50% (i) 55% (j) more than 55%
Explanation / Answer
The given data can be put in the table format
From the table we can calculate from the marginal probability
Probability of being a male=600/1000=0.6 or 60%
The probability that individual is female earning under $30000
=210/1000=0.21 or 21%
The probability that an individual is a female or earning under $ 30,000
This is a union of the 2
=400/1000+450/1000-210/1000=640/1000=0.64 or 64%
The probability that individual earns over $30,000 given individual is female
This is a conditional probability
Over $30,000 given female is 190
Hence probability =190/400=0.475 or 47.5%
Female Male Total Under $30,000 210 240 450 $30,000 and up 190 360 550 Total 400 600 1000Related Questions
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