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# Team Exercise week 4 Remember, all probabilities should

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Team Exercise week 4

Remember, all probabilities should maintain at least FOUR decimal places. For instance, if you final probability answer is .3512, do NOT round it to .35, or 35%. Keep it at .3512, or 35.12%

7.52 The heights of trees in a grove are normally distributed. (a) What is the probability that a tree’s height exceeds the mean? (b) Exceeds the mean by at least 1 standard deviation? (c) Exceeds the mean by at least 3 standard deviations ? (d) Is within 1.5 standard deviations? Use Normal distribution, not just the empirical rule.
Submitted: 5 years ago.
Category: Math Homework
Expert:  Scott replied 5 years ago.

Hi there,

I'll use an online z table: http://www.tutor-homework.com/statistics_tables/statistics_tables.html

You could also use Excel or the table in your textbook.

Each of these questions is solved with the table.

(a) What is the probability that a tree's height exceeds the mean?

prob(z > 0)

0.5

(b) Exceeds the mean by at least 1 standard deviation?

prob(z > 1)

0.1587

(c) Exceeds the mean by at least 3 standard deviations ?

prob(z > 3)

0.0013

(d) Is within 1.5 standard deviations?

prob(-1.5 < z < 1.5)

0.8664

Let me know if you have any questions, and if you're set, thanks for accepting!

-Scott