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mrs_skeptik [129]
3 years ago
14

Ted is taking a true-false test. He has a 90% chance of identifying the correct answer to each question. Unfortunately, there is

a 25% chance that he will circle the opposite of his intended answer. What is the probability, expressed as a percent, that Ted circles the correct answer to any particular question on this test?
Mathematics
1 answer:
TEA [102]3 years ago
8 0

Answer:

0.675

Step-by-step explanation:

given that Ted is  taking a true-false test. He has a 90% chance of identifying the correct answer to each question. Unfortunately, there is a 25% chance that he will circle the opposite of his intended answer.

For Ted circling the correct answer  to any particular question on this test,

first he has to identify the correct answer and then round the correct answer.

Probability for Ted circles the correct answer to any particular question on this test

= Prob for idenfitying correct answer and rounding correct answer

= P(identify correct answer)*P(rounds of correct answer)

= 0.90 ( 1-0.25)

= 0.675

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<em>95% confidence interval for the true mean cholesterol content of all such eggs.</em>

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Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given mean of the sample  x⁻ = 185 milligrams</em>

<em>Given standard deviation of the sample 'S' = 17.6 milligrams</em>

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<u><em>Step(ii)</em></u>:-

95% confidence interval for the true mean cholesterol content of all such eggs.

(x^{-} - t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} } , x^{-} + t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} })

(185 - 2.2010 \frac{17.6}{\sqrt{12} } , 185 + 2.2010 \frac{17.6}{\sqrt{12} })

( 185 - 11.1825 , 185 + 11.1825)

(173.8175 , 196.1825)

<u><em>Final answer:-</em></u>

<em>95% confidence interval for the true mean cholesterol content of all such eggs.</em>

<em>(173.8175 , 196.1825)</em>

<u><em></em></u>

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Therefore, if ∠1 and ∠2 ​ are vertical angles and m∠2 = 93°, then m∠1 = 93°.

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