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MATH 123 HW 16 Probability

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A survey of 64 families yields the following data for the number of children per family.
a. Put this data into a frequency table. Compute the proportions as percentages to 1 decimal place.
b. What is the mode value for the number of children per family? Use this answer in a meaningful sentence.
c. How many families have 4 or fewer children?
d. What proportion of families in the survey have 1 or 2 children? Use this answer in a meaningful sentence. Write as a percent rounded to one decimal place.
e. If you randomly select a family, what is the probability that family will have 3 children? Write as a percent rounded to one decimal place.
f. If you randomly select a family, what is the probability that family has at least 6 children? Write as a percent rounded to one decimal place.

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a)
Count how many times each number occurs in the table.
0 occurs 8 times
1 occurs 11 times
2 occurs 18 times
3 occurs 11 times.
4 occurs 6 times.
5 occurs 4 times.
6 occurs 3 times.
7 occurs 0 times.
8 occurs 2 times.
9 occurs 1 time.

Organize these numbers in the table. Use the frequencies and total to calculate the proportions as shown.

Number of Children Number of Families (Frequencies) Proportions of Families
0 8 8/64 = 12.5%
1 11 11/64 = ...

Solution provided by:
J Pye, MSc
Education
  • MSc, California State Polytechnic University, Pomona
  • MBA, University of California, Riverside
  • BSc, California State Polytechnic University, Pomona
  • BSc, California State Polytechnic University, Pomona
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  • "Hello, thank you for your answer for my probability question. However, I think you interpreted the second and third question differently than was meant, as the assumption still stands that a person still independently ranks the n options first. The probability I am after is the probability that this independently determined ranking then is equal to one of the p fixed rankings. Similarly for the third question, where the x people choose their ranking independently, and then I want the probability that for x people this is equal to one particular ranking. I was wondering if you could help me with this. "
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