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Pani-rosa [81]
3 years ago
5

Pls just answer it with A B C D makes life simpler

Mathematics
1 answer:
Dmitry [639]3 years ago
3 0

Answer:

A

Step-by-step explanation:

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One-fourth of the residents of the Burning Ridge Estates leave their garage doors open when they are away from home. The local c
Allisa [31]

Answer:

If the garage is robbed, the probability the doors ware left open is 0.625.

Step-by-step explanation:

Denote the events as follows:

X = garage doors open

Y = something is stolen

The information provided is:

P (X) = 0.25

P (Y|X) = 0.05

P (Y|X') = 0.01

Compute probability that the garage is robbed as follows:

P(Y)=P(Y|X)P(X)+P(Y|X')P(X')\\\\=(0.05\times 0.25)+(0.01\times (1-0.25))\\\\=0.0125+0.0075\\\\=0.02

Compute the probability the doors ware left open given that the garage is robbed as follows:

P(X|Y)=\frac{P(Y|X)P(X)}{P(Y)}\\\\=\frac{0.05\times 0.25}{0.02}\\\\=0.625

Thus, if the garage is robbed, the probability the doors ware left open is 0.625.

6 0
3 years ago
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