How JustAnswer Works:
  • Ask an Expert
    Experts are full of valuable knowledge and are ready to help with any question. Credentials confirmed by a Fortune 500 verification firm.
  • Get a Professional Answer
    Via email, text message, or notification as you wait on our site.
    Ask follow up questions if you need to.
  • 100% Satisfaction Guarantee
    Rate the answer you receive.
Ask Scott Your Own Question
Scott
Scott, MIT Graduate
Category: Math Homework
Satisfied Customers: 17710
Experience:  Over 13,000 accepts & 100% feedback in the old math category
3546829
Type Your Math Homework Question Here...
Scott is online now
A new question is answered every 9 seconds

Team Exercise week 4 Remember, all probabilities should

Resolved Question:

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

Scott and other Math Homework Specialists are ready to help you