Probability (Statistics)

Question

A polling organization randomly selects an adult American for a survey about credit card usage. Suppose 53% of the population is male. Suppose 9.8% of males smoke cigars and 1.36% of females smoke cigars. If an adult who does not smoke cigars is randomly selected for this survey, what is the probability that person is a female?

Express your answer as a decimal, rounded to the nearest thousandth (three decimal places).

Answer 1

A polling organization randomly selects an adult American for a survey about credit card usage. Suppose 53% of the population is male. Suppose 9.8% of males smoke cigars and 1.36% of females smoke cigars. If an adult who does not smoke cigars is randomly selected for this survey, what is the probability that person is a female?

Express your answer as a decimal, rounded to the nearest thousandth (three decimal places).

Step 1:

Calculate the percentage of males who do not smke cigars by subtracting the percentage of males who smoke cigars.

53% - 9.8% = 43.2 %

Step 2:

Calculate the percentage of females who do not smoke cigars by subtracting the percentage of females wh smoke cigars.

47% - 1.36 % = 45.64 %

Step 3:

Calculate the percentage of non-smoking males and females to find he total percentage of non-smokers.

43.2% + 45.64 % = 88.84%

Step 4:

Find the probability that a non-smoking adult is female.

1. Use the division method to determine the percentage of non-smoking females.

1. The percentage of non-smoking females (45.64 %) divided by the total percentage of non-smokers 88.84%.

45.64% divided by 88.84% = 0.513

Final Answer:

The probability that a non-smoking adult selected for this survey is a female = 0.513

I hope the mathematical calculations (step by step approach) was helpful. Please let me know if you require any more assistance. If anyone in my neighborhood is interested in setting up an in-person math tutoring session. I look forward to hearing from them. Have an amazing day. Doris H.