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3 years ago

Dont know what to do.

Mathematics

1 answer:

Aleksandr [31]3 years ago

8 0

9514 1404 393

Answer:

512 million

Step-by-step explanation:

Expected value is the sum of the products of probability and the value associated with that probability. Here, it is the sum ...

0.4(390) +0.4(890) +0.2(0) = 512 . . . million

The expected value of the loss over a 5-year period is $512 million.

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A high school student took two college entrance exams, scoring 1070 on the SAT and 25 on the ACT. Suppose that SAT scores have a

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Answer:

Due to the higher z-score, he did better on the SAT.

Step-by-step explanation:

When the distribution is normal, we use 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.

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He did better on whichever test he had the higher z-score.

SAT:

Scored 1070, so $X = 1070$

SAT scores have a mean of 950 and a standard deviation of 155. This means that $\mu = 950, \sigma = 155$ .

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ACT:

Scored 25, so $X = 25$

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