An object is moving at the constant rate of 32 feet per second. How many yards will it travel in one minute? 10.7 yards per minu
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Hey There! Whoever we see the keyword “of”, we know that it’s multiplication Therefore we’re multiplying 1/3 and 7/1 that gives us 7/3
The empirical rule you're referring to is the 68-95-99.7 rule, which asserts that for a normal (bell-shaped) distribution, approximately 68% of the distribution lies within 1 standard deviation of the mean; 95% lies within 2 standard deviations of the mean; and 99.7% lies within 3 standard deviations of the mean.
Let be the random variable denoting vehicle speeds along this highway. We want to find
. To use the rule, we need to rephrase this probability in terms of the mean and standard deviation.
Notice that , and
. In other words, 61 and 79 both lie exactly 3 standard deviations away from the mean, so
.