he following shows the responses of a random sample of 200 Michiganders with regard to whether they consider themselves to be "hat wearers." Gender Hat Wearers Non-Hat Wearers Total Male 52 23 75 Female 42 83 125 Total 94 106 200 (a) What is the probability that a randomly selected individual from this group of respondents is a hat wearer? (b) Calculate the probability. The probability that a randomly selected individual from this group of respondents is male is .
he following shows the responses of a random sample of 200 Michiganders with regard to whether they consider themselves to be "hat wearers." Gender Hat Wearers Non-Hat Wearers Total Male 52 23 75 Female 42 83 125 Total 94 106 200 (a) What is the probability that a randomly selected individual from this group of respondents is a hat wearer? (b) Calculate the probability. The probability that a randomly selected individual from this group of respondents is male is .
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Question
The following shows the responses of a random sample of 200 Michiganders with regard to whether they consider themselves to be "hat wearers."
| Gender | Hat Wearers | Non-Hat Wearers | Total |
|---|---|---|---|
| Male | 52 | 23 | 75 |
| Female | 42 | 83 | 125 |
| Total | 94 | 106 | 200 |
(a)
What is the probability that a randomly selected individual from this group of respondents is a hat wearer?
(b)
Calculate the probability.
The probability that a randomly selected individual from this group of respondents is male is .
Expert Solution
Step 1: Given information
The following shows the responses of a random sample about whether they consider themselves to be hat wearers.
| Gender | Hat Wearers | Non-Hat Wearers | total |
|---|---|---|---|
| male | 52 | 23 | 75 |
| female | 42 | 83 | 125 |
| total | 94 | 106 | 200 |
The total number of respondents is format('truetype')%3Bfont-weight%3Anormal%3Bfont-style%3Anormal%3B%7D%3C%2Fstyle%3E%3C%2Fdefs%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20font-style%3D%22italic%22%20text-anchor%3D%22middle%22%20x%3D%224.5%22%20y%3D%2216%22%3En%3C%2Ftext%3E%3Ctext%20font-family%3D%22math17f39f8317fbdb1988ef4c628eb%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2218.5%22%20y%3D%2216%22%3E%3D%3C%2Ftext%3E%3Ctext%20font-family%3D%22Arial%22%20font-size%3D%2216%22%20text-anchor%3D%22middle%22%20x%3D%2240.5%22%20y%3D%2216%22%3E200%3C%2Ftext%3E%3C%2Fsvg%3E)
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