(c) What is P(Y= 3)? 019
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See attached and solve c) which should be NOT EQUAL TO. It's hard to see
![Choose an American household at random and let the random variable Y be the number of persons living in the household.
| Number of persons | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
|---------------------|---|----|----|----|----|----|----|
| Household probability | 0.29 | 0.30 | 0.13 | 0.19 | 0.05 | 0.03 | 0.01 |
| Family probability | 0 | 0.42 | 0.23 | 0.21 | 0.09 | 0.03 | 0.02 |
(a) Express "more than one person lives in this household" in terms of Y.
\( P(Y > 1) \)
What is the probability of this event?
\[ 0.71 \]
(b) What is \( P(2 < Y \leq 5) \)?
\[ 0.56 \]
(c) What is \( P(Y = 3) \)?
\[ 0.13 \]
Explanation of Graphs/Diagrams:
- The first table lists the number of persons in a household (ranging from 1 to 7) along with the associated probabilities for each scenario termed as "Household probability".
- The second row, "Family probability", seems to correlate to a different set of probabilities, possibly a different dataset or secondary probability measure for comparison.
Key Calculations:
- For part (a), finding \( P(Y > 1) \) involves summing the probabilities of all households with more than one person.
- For part (b), finding \( P(2 < Y \leq 5) \) involves summing the probabilities of households with 3, 4, or 5 persons.
- Part (c) directly provides the specific probability for a household with exactly 3 persons.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbaa96d16-ef99-4b97-b18c-2e18b41bfefa%2F52ee2877-b87d-4f4a-8e2b-a1221c028959%2F656l7y5_processed.png&w=3840&q=75)
Transcribed Image Text:Choose an American household at random and let the random variable Y be the number of persons living in the household.
| Number of persons | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
|---------------------|---|----|----|----|----|----|----|
| Household probability | 0.29 | 0.30 | 0.13 | 0.19 | 0.05 | 0.03 | 0.01 |
| Family probability | 0 | 0.42 | 0.23 | 0.21 | 0.09 | 0.03 | 0.02 |
(a) Express "more than one person lives in this household" in terms of Y.
\( P(Y > 1) \)
What is the probability of this event?
\[ 0.71 \]
(b) What is \( P(2 < Y \leq 5) \)?
\[ 0.56 \]
(c) What is \( P(Y = 3) \)?
\[ 0.13 \]
Explanation of Graphs/Diagrams:
- The first table lists the number of persons in a household (ranging from 1 to 7) along with the associated probabilities for each scenario termed as "Household probability".
- The second row, "Family probability", seems to correlate to a different set of probabilities, possibly a different dataset or secondary probability measure for comparison.
Key Calculations:
- For part (a), finding \( P(Y > 1) \) involves summing the probabilities of all households with more than one person.
- For part (b), finding \( P(2 < Y \leq 5) \) involves summing the probabilities of households with 3, 4, or 5 persons.
- Part (c) directly provides the specific probability for a household with exactly 3 persons.
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