Hayley has 120 apple trees of a certain variety in her orchard. She estimates the population of apples has a mean of 99 seeds per apple with a standard deviation of 22 seeds. The distribution in the number of seeds per apple has a shape that is approximately normal. The table gives the standard normal distribution. What percent of Hayley's apples have between 55 and 1111 seeds? Enter your answer in the box rounded to the tenths place.
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Hayley has 120 apple trees of a certain variety in her orchard. She estimates the population of apples has a mean of 99 seeds per apple with a standard deviation of 22 seeds. The distribution in the number of seeds per apple has a shape that is approximately normal.
The table gives the standard
What percent of Hayley's apples have between 55 and 1111 seeds? Enter your answer in the box rounded to the tenths place.
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