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Probability

Probability. Question 1. A Social worker for a child advocacy center has a caseload of 24 children under the age of 18. Her case load by age is as follows:. What is the probability that one of her clients, selected at random is: Between 6 and 10 years old? More than 5 years old?

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Probability

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  1. Probability

  2. Question 1 • A Social worker for a child advocacy center has a caseload of 24 children under the age of 18. Her case load by age is as follows: • What is the probability that one of her clients, selected at random is: • Between 6 and 10 years old? • More than 5 years old? • Less than 1 year old?

  3. Solution Open an excel spreadsheet and enter given data.

  4. The probability that a client selected at random is between 6 and 10 years old: • E= the event of selecting a client between 6 and 10 years • P(E)= (number of cases between 6 and 10)/(total number of cases)

  5. The probability that a client selected at random is more than 5 years old: • A= the event of selecting a client more than 5 years old • B= the event of selecting a client between 6 and 10 • C= the event of selecting a client between 11 and 14 • D= the event of selecting a client between 15 and 17 • P(A)= P(B)+P(C)+P(D)

  6. The probability that a client selected at random is less than 1 year old: • E= the event of selecting a client less than 1 year • P(E)= (number of cases under 1)/(total number of cases)

  7. Question 2 • A guidance counselor at a middle school collected the following information regarding the employment status of married couples within his school’s boundaries.

  8. The probability that for married couple selected at random, both spouses work: • E= the event of selecting a married couple with both spouses working • P(E)=(Total of both couples working)/(Overall total)

  9. The probability that for married couple selected at random, the couple has one child under age 18: • E= the event of selecting a married couple with 1 child under age 18 • P(E)=(Total of couples with 1 child)/(Overall total)

  10. The probability that for married couple selected at random, the couple has 2 or more children under age 18 and both spouse work: • E= the event of selecting a married couple with 2 or more children and both spouses working • A= number of couples with 2 or more children and both couples working • B= overall total • P(E)= A/B

  11. The probability that for married couple selected at random, the couple has no children or only the husband works: • Steps: • E= the event of selecting a married couple with no children or only husband works • Find the probability of couple with no children • A= the event of selecting couple with no children • P(A)=(Total of couples with no children)/(Overall total) • Find the find the probability that only husband works • B= the event of selecting a couple with only husband working • P(B)= (Total of couples with only husband working)/(Overall total) • Find the probability that only husband works and no children • C= the event of selecting a couple with only husband working and no children • P(C)= (Total of couples with only husband working and no children)/(Overall total)

  12. The probability that for married couple selected at random, the couple has no children or only the husband works: • Steps: • Find the probability of couple with no children • A= the event of selecting couple with no children • P(A)=(Total of couples with no children)/(Overall total)

  13. The probability that for married couple selected at random, the couple has no children or only the husband works: • Steps: • Find the find the probability that only husband works: • B= the event of selecting a couple with only husband working • P(B)= (Total of couples with only husband working)/(Overall total)

  14. The probability that for married couple selected at random, the couple has no children or only the husband works: • Steps: • Find the probability that only husband works and no children • C= the event of selecting a couple with only husband working and no children • P(C)= (Total of couples with only husband working and no children)/(Overall total)

  15. The probability that for married couple selected at random, the couple has no children or only the husband works: • Steps: • E= the event of selecting a married couple with no children or only husband works • P(E)= P(A)+P(B)-P(C)

  16. CSTEM Web link http://www.cis.famu.edu/~cdellor/math/ • Presentation slides • Problems • Guidelines • Learning materials

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