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Probability Problem: SAP for Senior Citizens

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Read and analyze the problem below. After reading, answer the question that follows.
“BAYANIHAN TO HEAL AS ONE ACT”
In a certain barangay, the DSWD conducted a survey among the ages of senior citizens who will
receive cash assistance or the Social AmeliorationProgram(SAP). This program is a cash emergency
subsidy program for Filipino families whose lives are greatly affected by the Enhance Community
Quarantine (ECQ). It is mandated by the new law, the “Bayanihan To Heal As One Act”, which was
signed by the President on March 25,2020. The given data shows the probability distribution among
the ages of senior citizens.
Age (X)
60
61
62
63
65
67
68
70
72
73
80
Probability P(X)
0.16
0.10
0.10
0.07
0.13
0.10
0.07
0.07
0.10
0.07
0.03
Questions:
1. What is the probability that at least 65 years old senior citizen will receive the SAP?
2. What is the probability that at most 70 years old senior citizen will receive the SAP?
3. What is the probability that at least 60 years old but less than 70 years old senior citizen will
receive the SAP?
4. Find P(63 ≥ X ≤ 68)
5. Find P(70 ≥ X ≤ 80)
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