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kirill115 [55]
3 years ago
13

Janice bought 4 shirts that are red green white and yellow and 3 pairs of pants that are black, light blue and dark blue use an

organized list to determine the probability that Janice wears a white shirt and blue pants if she randomly chooses her outfit from her new clothes
Mathematics
1 answer:
Talja [164]3 years ago
6 0

Answer:

16.7%

Step-by-step explanation:

The first thing is to mention that they are two independent events, therefore the final probability is the multiplication of the two.

First event, select shirt. In total there are 4 and you must choose one of them, therefore the probability is:

1/4

Second event, select the pants. In total there are 3 and you must choose one of them, but there are two blue types, therefore any of the two is worth what means that the probability is:

2/3

The final probability:

P = 1/4 * 2/3

P = 0.167

Which means that the probability of choosing a white shirt and a blue pant (light or dark) is 16.7%

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The calculated χ² =  0.57   does not fall in the critical region χ² ≥  12.59  so we fail to reject the null hypothesis and conclude the proportion of fatal bicycle accidents in 2015 was the same for all days of the week.

Step-by-step explanation:

1) We set up our null and alternative hypothesis as

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b.<u> It is r</u>easonable to conclude that the proportion of fatal bicycle accidents in 2015 was the same for all days of the week

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