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Vlad [161]
3 years ago
14

How do I use the distributive property to solve 3,649×7

Mathematics
1 answer:
Crazy boy [7]3 years ago
8 0
3,000 * 7
600 * 7
40 * 7
9 *7
now add the answers to all of them together to get your answer.
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A health statistics agency in a certain country tracks the number of adults who have health insurance. Suppose according to the
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a) 15.4% probability that a randomly selected person in this country is 65 or older

b) 0.023 = 2.3% probability that the person is 65 or older

Step-by-step explanation:

To solve b), i will use the Bayes Theorem.

Bayes Theorem:

Two events, A and B.

P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

(a) What is the probability that a randomly selected person in this country is 65 or older?

22.7% of people in the county are under age 18

61.9% are ages 18–64

p% are 65 or older.

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15.4% probability that a randomly selected person in this country is 65 or older.

(b) Given that a person in this country is uninsured, what is the probability that the person is 65 or older?

Event A: Uninsured

Event B: 65 or older.

15.4% probability that a randomly selected person in this country is 65 or older.

This means that P(B) = 0.154

1.4% of those 65 and older do not have health insurance.

This means that P(A|B) = 0.014

Probability of not having insurance.

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61.9% are aged 18-64. Of those, 12.8% do not have insurance.

15.4% are 65 or over. Of those, 1.4% do not have health insurance. So

P(A) = 0.227*0.054 + 0.619*0.128 + 0.154*0.014 = 0.093646

Then

P(B|A) = \frac{0.154*0.014}{0.093646} = 0.023

0.023 = 2.3% probability that the person is 65 or older

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