Question

Favorite Summer Activity for 50 Children

Reading Sports Swimming TOTAL
Boys 2 20 8 30
Girls 4 7 9 20
TOTAL 6 27 17 50

P(Boy if favorite activity is swimming)
0.26
P(Girl if favorite activity is sports)
0.45
P(Girl if favorite activity is reading)
0.20
P(Boy if favorite activity is sports)
0.67
P(Favorite activity is swimming if a girl)
0.27
P(Favorite activity is reading if a boy)
0.07
P(Favorite activity is swimming if a boy)
0.47
P(Favorite activity is reading if a girl)
0.74

Are my answers correct? I have to go off of a wordbank.

Answer 1

Do swimmers count among those who like sports? If not, then

There are 17 swimmers, so
P(boy if swimming) = 8/17 = .47

There are 27 sports, so
P(girl if sports) = 7/27 = .26

Adjust the numbers if swimmers are counted among "sports"

and so on. How did you get your numbers?

Answer 2

There was a wordbank, steve

Answer 3

more than half of this is wrong

Answer 4

P(Boy if favorite activity is swimming) 0.47

P(Girl if favorite activity is sports) 0.26
P(Girl if favorite activity is reading) 0.67
P(Boy if favorite activity is sports) 0.74
P(Favorite activity is swimming if a girl) 0.45
P(Favorite activity is reading if a boy) 0.07
P(Favorite activity is swimming if a boy) 0.27
P(Favorite activity is reading if a girl) 0.20
P(Boy if favorite activity is swimming) 0.47
P(Girl if favorite activity is sports) 0.26
P(Girl if favorite activity is reading) 0.67
P(Boy if favorite activity is sports) 0.74
P(Favorite activity is swimming if a girl) 0.45
P(Favorite activity is reading if a boy) 0.07
P(Favorite activity is swimming if a boy) 0.27
P(Favorite activity is reading if a girl) 0.20

Answer 5

P(Boy if favorite activity is swimming) 0.47

P(Girl if favorite activity is sports) 0.26
P(Girl if favorite activity is reading) 0.67
P(Boy if favorite activity is sports) 0.74
P(Favorite activity is swimming if a girl) 0.45
P(Favorite activity is reading if a boy) 0.07
P(Favorite activity is swimming if a boy) 0.27
P(Favorite activity is reading if a girl) 0.20

Answer 6

the htsrhtdyjy guy got it right for me :D

Answer 7

[AI-generated answer — Explain Bot]

To verify if your answers are correct, we can calculate the probabilities using the provided information.

P(Boy if favorite activity is swimming) = Number of Boys who like swimming / Total number of children who like swimming = 8/17 ≈ 0.47

Your answer of 0.26 is incorrect.

P(Girl if favorite activity is sports) = Number of Girls who like sports / Total number of children who like sports = 7/27 ≈ 0.26

Your answer of 0.45 is incorrect.

P(Girl if favorite activity is reading) = Number of Girls who like reading / Total number of children who like reading = 4/20 = 0.20

Your answer of 0.20 is correct.

P(Boy if favorite activity is sports) = Number of Boys who like sports / Total number of children who like sports = 20/30 ≈ 0.67

Your answer of 0.67 is correct.

P(Favorite activity is swimming if a girl) = Number of Girls who like swimming / Total number of girls = 9/20 = 0.45

Your answer of 0.27 is incorrect.

P(Favorite activity is reading if a boy) = Number of Boys who like reading / Total number of boys = 2/30 ≈ 0.07

Your answer of 0.07 is correct.

P(Favorite activity is swimming if a boy) = Number of Boys who like swimming / Total number of boys = 8/30 ≈ 0.27

Your answer of 0.47 is incorrect.

P(Favorite activity is reading if a girl) = Number of Girls who like reading / Total number of girls = 4/20 = 0.20

Your answer of 0.74 is incorrect.

Please check the provided probabilities again and make the necessary adjustments.