Question

Eighty-six countries won medals at the Olympics in a particular year. The results indicate the following.

• 1 country won more than 100 medals
• 3 countries won between 51 and 100 medals
• 3 countries won between 31 and 50 medals
• 4 countries won between 21 and 30 medals
• 10 countries won between 11 and 20 medals
• 10 countries won between 6 and 10 medals
• 55 countries won between 1 and 5 medals

Suppose one of the 86 countries winning medals at this Olympics is selected at random. (Round your answers to three decimal places.)

(a) What is the probability that the selected country won more than 50 medals?

(b) What is the probability that the selected country did not win more than 100 medals?

(c) What is the probability that the selected country won 10 or fewer medals?

(d) What is the probability that the selected country won between 11 and 50 medals?

Answer 1

a) There are total 86 countries who won medal in Olympics. So, from 86 countries, 1 country can be chosen in ways.
There are 4 countries who won more than 50 medals. So, from these 4 countries, 1 country can be chosen in ways.
Therefore,
P [the selected country won more than 50 medals] =   = 0.0465

b)There are total 86 countries who won medal in Olympics. So, from 86 countries, 1 country can be chosen in ways.
85 countries did not win more than 100 medals. So, from these 85 countries, 1 country can be chosen in ways.
Therefore,
P[the selected country did not win more than 100 medals] =   = 0.988

c) There are total 86 countries who won medal in Olympics. So, from 86 countries, 1 country can be chosen in ways.
65 countries won 10 or fewer medals. So, from these 65 countries, 1 country can be chosen in ways.
Therefore,
P[the selected country win 10 or fewer medals] =   = 0.756

d)There are total 86 countries who won medal in Olympics. So, from 86 countries, 1 country can be chosen in ways.
17 countries won between 11 and 50 medals. So, from these 17 countries, 1 country can be chosen in ways.
Therefore,
P[the selected country won between 11 and 50 medals] =   = 0.198

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