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3 years ago

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Andrew [12]3 years ago

7 0

43.)
a. There is an s amount of shoes, because s is the total amount of shoes
b. x is the number of shoes, so x - 1/2 = s

44.)
2s + 7 = x

45.)
the variable s is the total amount of shoes Pete has and 8 don't fit him anymore (or got ruined) so he threw them away... x - 8

46.)
The expressions y + 4 and 1y + 4 are equivalent, because a variable always has a hidden (1) next to it like (1)y and any positive number multiplied by 1 always stays the same.

I hope i helped : )
Your Welcome

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The probability is $P(X >300 ) = 0.97219$

Step-by-step explanation:

From the question we are told that

The capacity of an Airliner is k = 300 passengers

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Generally the mean is mathematically represented as

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Generally the standard deviation is

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

=> $\sigma = \sqrt{320 * 0.96 * (1 -0.96 ) }$

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Applying Normal approximation of binomial distribution

Generally the probability that there will not be enough seats to accommodate all passengers is mathematically represented as

$P(X > k ) = P( \frac{ X -\mu }{\sigma } > \frac{k - \mu}{\sigma } )$

Here $\frac{ X -\mu }{\sigma } =Z (The \ standardized \ value \ of \ X )$

=> $P(X >300 ) = P(Z > \frac{300 - 307.2}{3.50} )$

Now applying continuity correction we have

$P(X >300 ) = P(Z > \frac{[300+0.5] - 307.2}{3.50} )$

=> $P(X >300 ) = P(Z > \frac{[300.5] - 307.2}{3.50} )$

=> $P(X >300 ) = P(Z > -1.914 )$

From the z-table

$P(Z > -1.914 ) = 0.97219$

So

$P(X >300 ) = 0.97219$

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