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A survey asked, How many tattoos do you currently have on your body? of the 1216 males surveyed, 197 responded that they ha
A golf ball is selected at random from a golf bag. If the golf bag contains 6 red balls, 7 orange balls, and 8 green balls, f
In a certain card game, the probability that a player is dealt a particular hand is 0.25. Explain what this probability means
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Answer #1

#1 ) Let x1 be the number of male respondent have at least one tattoo.

x2 be the number of female respondent have at least one tattoo.

Given : Ir = 197, 12 = 142, 11 = 1216 , 2 = 1009 , //img.homeworklib.com/questions/ce937870-e581-11ea-bb45-15be1cd27da3.png?x-oss-process=image/resize,w_5601 = Ir / 11 = 0.162, //img.homeworklib.com/questions/cf6a2f50-e581-11ea-84ca-334ed3e619d1.png?x-oss-process=image/resize,w_5602= 12 / 2 = 0.1407 ,

//img.homeworklib.com/questions/d04e4000-e581-11ea-8353-33d873c73d74.png?x-oss-process=image/resize,w_5601 = 1 – //img.homeworklib.com/questions/d09a9a40-e581-11ea-a4d1-2d8975b79016.png?x-oss-process=image/resize,w_5601 = 0.8380 , //img.homeworklib.com/questions/d0ebba20-e581-11ea-ac16-bdd0fc640e94.png?x-oss-process=image/resize,w_5602 = 1 – //img.homeworklib.com/questions/d133af20-e581-11ea-ad6d-e1e4ee6727ca.png?x-oss-process=image/resize,w_5602 = 0.8593

confidence level = 0.99

Therefore α = 1 - 0.99 = 0.01 , 1 - (α/2) = 0.9950

So we have to find z score corresponding to area 0.9950 on z score table

So z = 2.575

99% confidence interval is given by :

(Pi - P2) + 2* P1 * q P2 * 92 + n1 n2

= (0.1620 -0.1407)-2.575 * (0.162 +0.8380) 1216 - (0.1407 * 0.8593) 1009

( -0.018 , 0.060 )

Lower bound = -0.018

Upper bound = 0.060

The interval contain 0 , therefore ,

B. There is 99% confidence that the difference of the proportion is in the interval.Conclude that there is insufficient evidence of a significant difference in the proportion of males and females that have at least one tattoo.

#2)

Let R be red balls = 6 , O be orange balls = 7 and G be green balls = 8

Total balls = 21  

P( R or O ) = Number of red balls + Number of Orange balls Total balls

= ( 6+7 ) / 21

Probability = 0.619

#3)

C. The probability 0.25 means that approximately 25 out of every 100 dealt hands will be that particular hand. No, you will not be dealt this hand exactly 25 times since the probability refers to what is expected in the long-term, not short-term

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