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Nataly_w [17]
3 years ago
12

Forty percent of the homes constructed in the Quail Creek area include a security system. Three homes are selected at random: Wh

at is the probability all three of the selected homes have a security system
Mathematics
1 answer:
suter [353]3 years ago
6 0

Answer: 0.064

Step-by-step explanation:

Binomial probability formula :-

P(X)=^nC_x \ p^x\ (1-p)^{n-x}, where P(x) is the probability of getting success in x trials, n is total number of trials and p is the probability of getting succes in each trial.

Given : The proportion of the homes constructed in the Quail Creek area include a security system :  p=0.40

Now, if three homes are selected at random, then the probability all three of the selected homes have a security system is given by :-

P(3)=^3C_3 \ (0.40)^3\ (1-0.40)^{3-3}\\\\=(0.40)^3=0.064

Hence, the probability all three of the selected homes have a security system = 0.064

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