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3 years ago

12

The cheerleading team lines up down the football field to rally the spectators. If there are 12 cheerleaders, which expression g

ives the number of ways can they line up down the field?

1 answer:

Whitepunk [10]3 years ago

3 0

They can line up every 10 yards because there are 120 yard on a football field
12 cheerleaders gives you 1 every 10 yards

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A multiple-choice examination has 20 questions, each with five possible answers, only one of which is correct. Suppose that one

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The probability that the student answers at least seventeen questions correctly is $8.03\times 10^{-10}$ .

Step-by-step explanation:

Let the random variable <em>X</em> represent the number of correctly answered questions.

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Then the probability of selecting the correct option is,

$P(X)=p=\frac{1}{5}=0.20$

There are <em>n</em> = 20 question in the exam.

It is also provided that a student taking the examination answers each of the questions with an independent random guess.

Then the random variable can be modeled by the Binomial distribution with parameters <em>n</em> = 20 and <em>p</em> = 0.20.

The probability mass function of <em>X</em> is:

$P(X=x)={20\choose x}\ 0.20^{x}\ (1-0.20)^{20-x};\ x =0,1,2,3...$

Compute the probability that the student answers at least seventeen questions correctly as follows:

$P(X\geq 17)=P (X=17)+P (X=18)+P (X=19)+P (X=20)$

$=\sum\limits^{20}_{x=17}{{20\choose x}\ 0.20^{x}\ (1-0.20)^{20-x}}\\\\=0.00000000077+0.000000000032+0.00000000000084+0.000000000000042\\\\=0.000000000802882\\\\=8.03\times10^{-10}$

Thus, the probability that the student answers at least seventeen questions correctly is $8.03\times 10^{-10}$ .

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4 years ago