If you randomly choose 2 test takers, what is the probability that both score less than 396?

Answers

Answer 1

The probability that both scores of the two test takers will be less than 396 is 0.0036, or 0.36%.

How to calculate the probability?

The probability that a single test taker scores less than 396 can be found using the standard normal distribution and the z-score formula:

z = (396 - 507) / 111

z = -1.54

Using a standard normal table, we can find the probability of getting a score less than -1.54 is approximately 0.06.

To find the probability that both test takers score less than 396, square the probability of a single test taker scoring less than 396:

0.06² = 0.0036

Therefore, the probability that both test takers score less than 396 is approximately 0.0036, or 0.36%.

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The complete question is:

The verbal section of the 2003 SAT exam is normally distributed with a mean of 507 and a standard deviation of 111. If you randomly choose 2 test takers, what is the probability that both score less than 396?

Related Questions

how do you make a benchmark fraction to show 3/6 is greater than 5/12?

Answers

Answer:

You can multiply 3/6 by 2/2 (because 2/2 is equal to one) to get 6/12

This allows for the denominators to be the same so then you can just compare the 2 fractions.

Which locations on the map are MOST LIKELY to have an increased threat of hurricanes? [ Select TWO choices ] 1 4 5 6 9

Answers

The majority of hurricane locations activity takes place in either the subtropical or temperate zones across the North Atlantic, north of the tropics.

Which regions are most vulnerable to hurricanes?

Mississippi has the highest percentage of major hurricanes in the United States, even though Florida has had 37 major storms, about twice as many as Texas. Since 1851, over 43 percent of Mississippi's 14 hurricane landfalls have been major storms.

Where is the place where a storm is most likely to form?

As well as the eastern and, less frequently, the central North Pacific Oceans, the Atlantic basin, which includes the Atlantic Ocean, Caribbean Sea, and Gulf of Mexico, is where hurricanes form.

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