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Sixty percent of the people surveyed use sunscreen. A random number generator was used to simulate the results of asking the next three people. The numbers 0–5 represent people who use sunscreen, and the numbers 6–9 represent people who do not use sunscreen. What is the probability that two of the next three respondents use sunscreen?

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MrRoyal

Answer:

[tex]Pr = 0.50[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

Probability that 2 of 3 use sunscreen

From the attached data, we have:

[tex]S = \{275, 738, 419, 582, 987, 436, 578, 472, 178, 839\}[/tex]

[tex]n(S) = 10[/tex]

Events where 2 of the 3 uses sunscreen is:

[tex]x = \{275, 419, 582, 436, 472\}[/tex] --- i.e. where 0 -5 represents sunscreen

[tex]n(x) = 5[/tex]

So, the required probability is:

[tex]Pr = \frac{n(x)}{n(S)}[/tex]

[tex]Pr = \frac{5}{10}[/tex]

[tex]Pr = 0.50[/tex]

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