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.

NOTE: As stated I have solved the part c). The probability for P(Y=3) is given as 0.13. We need to…

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(c) What is P(Y= 3)? 019

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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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.

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