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saul85 [17]
3 years ago
5

Rolling a six-sided die 74 times and recording the number of odd numbers rolled.

Mathematics
1 answer:
Ber [7]3 years ago
8 0

Answer:

Binomial

Step-by-step explanation:

Given that a six sided die is rolled 74 times.

When a fair die is rolled number of outcomes are 6 out of which 3 are odd and 3 even.

Pro (getting odd) = Prob (getting even) = 0.5

Also each throw is independent of the other

Hence X - no of throws which resulted in odd numbers is Binomial with

n = 74 and p = 0.5

Mean = 37 and variance = 18.5

(all conditions for binomial are met)

(There are two outcomes either odd or even and each trial is independent of the other)

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\begin{array}{rcl}m& =& \dfrac{b}{a}\\\\2& =& \dfrac{b}{3}\\\\b& =& \mathbf{6}\end{array}

4.  The equation of the hyperbola is

\large \boxed{\mathbf{\dfrac{x^{2}}{9} - \dfrac{y^{2}}{36} = 1}}

The attachment below represents your hyperbola with x-intercepts at ±3 and asymptotes with slope ±2.

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