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VMariaS [17]
3 years ago
5

In a board game,you must roll two 6-sided number cubes. You can only start the game

Mathematics
1 answer:
Kruka [31]3 years ago
7 0

Answer:

a)

1-2  2-2  3-2  4-2  5-2  6-2

1-1  3-1  4-1  5-1  6-1  

3-3  3-4  3-5  3-6  

4-4  4-5  4-6

5-5  6-5

6-6

b) 6

Step-by-step explanation:

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A selective university advertises that 96% of its bachelor’s degree graduates have, on graduation day, a professional job offer
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Answer:

The probability is  P( p <  0.9207) = 0.0012556

Step-by-step explanation:

From the question we are told

  The population proportion is p = 0.96

 The sample size is  n  =  227

 The number of graduate who had job is  k = 209

Generally given that the sample size is large enough  (i.e n >  30) then the mean of this sampling distribution is  

       \mu_x = p = 0.96

Generally the standard deviation of this sampling distribution is  

    \sigma  = \sqrt{\frac{p (1 - p )}{n} }

=>  \sigma  = \sqrt{\frac{0.96 (1 - 0.96 )}{227} }

=>  \sigma  = 0.0130

Generally the sample proportion is mathematically represented as

      \^ p =  \frac{k}{n}

=> \^ p =  \frac{209}{227}

=> \^ p =  0.9207

Generally probability of obtaining a sample proportion as low as or lower than this, if the university’s claim is true, is mathematically represented as

     P( p <  0.9207) = P( \frac{\^ p - p }{\sigma } <  \frac{0.9207 - 0.96}{0.0130 }  )

\frac{\^ p - p}{\sigma }  =  Z (The  \ standardized \  value\  of  \ \^ p )

   P( p <  0.9207) = P(Z< -3.022 )

From the z table  the area under the normal curve to the left corresponding to    -3.022  is

     P(Z< -3.022 ) = 0.0012556

=> P( p <  0.9207) = 0.0012556

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The range is (10,11.5,12.5,13.75)
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Answer:

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