A student wrote the equation of this line as y=1/5x. What mistake did she nake?

1 answer:

galina1969 [7]3 years ago

7 0

The student is wrong in not putting a parenthesis between 1/3 and x. An equation of a line has a general equation of y = mx + b where m is the slope and b is the y-intercept. In this case, most likely 1/3 is the slope and 0 is the y-intercept. However, writing the equation like that seems like the x variable is a denominator and if that is the case the equation will not represent a line already.

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Answer:

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Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .