length of a silasive frequeney of in PROBABILITIES AND DENSITY CURVES If a varia

Question

length of a silasive frequeney of in PROBABILITIES AND DENSITY CURVES If a variable has a continuous ast as we do nos discuss e st as we ds not du single point) distribution, then we find probabilities by using the w nsity curve for the variable. A probability for a continuous variable equals the area under the density curve for the variable between two points Blood Glucose Consider the blood glucose level, in me/di, of a randomly chosen 3.4.3 ect from the population described in Example 34.2. We saw in Example 342 that 42% of the population glucose levels are between 100 mg/dl and is) mg/d. Thus, Pr(100 glucose level 15010.42 We are modeling blood glucose level as being a continuous variable, which means that Priglucose level -1000 and Priglucose level 150),as we noted above. Thus Pr[100glucose level 150)- Pr100lucose level 150-0.42 Example ree Diameters The diameter of a tree trunk is an important variable in forestry The density curve shown in Figure 3.4.5 represents the distribution of diameters (measured at breast height) in a population of 30-year-old Douglas fir trees; areas under the curve are shown in the figure. Consider the diameter, in inches, 3.4.4 ly chosen tree. Then, for example, Pr14

Explanation / Answer

If three trees are randomly selected, what is the probability that one tree will be 6 inches or less in diameter, one tree will be 8 inches or more in diameter and one tree will be 4 inches or less in diameter

= 3* 0.56*0.19*0.23 = 0.073

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