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elixir [45]
2 years ago
5

A student takes an exam containing 16 true or false questions. If the student guesses, what is the probability that he will get

exactly 14 questions right
Mathematics
1 answer:
almond37 [142]2 years ago
5 0

Answer:

0.001831055

Step-by-step explanation:

Here, n = 16, p = 0.5, (1 - p) = 0.5 and x = 14

As per binomial distribution formula P(X = x) = nCx * p^x * (1 - p)^(n - x)

We need to calculate P(X = 14)

P(x =14) = 16C14 * 0.5^14 *(1-0.5)^2

               = 120 * 0.5^14 *(1-0.5)^2

= 0.001831055

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The option is: <em>all real values except x = 7 and the x for which f(x) = -3</em>

Step-by-step explanation:

As the domain of f(x) is the set of all real values except 7. So it can be written as follows:

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As the domain of g(x) is the set of all real values except -3. So it can be written as follows:

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It is a common rule that the domain of a composite function (gºf)(x) will be the set of those input x in the domain of f for which f(x) is in the domain of g.

So, the option is: <em>all real values except x = 7 and the x for which f(x) = -3</em>

Keywords:  domain, composite function

Learn more domain and composite functions from brainly.com/question/2073574

#LearnwithBrainly

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Step-by-step explanation:

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