MINDTAP From Cengg : Chapter 6 End-of-Chapter Problems Due on jun 17 at 11:59 PM

Question

MINDTAP From Cengg : Chapter 6 End-of-Chapter Problems Due on jun 17 at 11:59 PM MDT Back to Assignment Attempts: Score: /0.4 10. Gravetter/Wallnau/Forzano, Essentials -Chapter 6 - End-of-chapter question 16 Aa Aa In 2014, the New York Yankees had a team batting average of u 245 (actually 0.245, but for simplicity, the decimal point is omitted distribution of batting averages for 162 games is normal with a standard deviation of ?-40 points, answer each the following. here). Of course, the batting average varies from game to game, but assuming that the Standard Normal Distribution Meano.0 Standard Deviation-1.0 5000 3.0 2.0 1.0 0.0 2.0 3.0 it you randomly select one game from 2014, what is the probability that the team batting average was over 300 Ir you randoml y select one game from 2014, what is the probability that the team batting average was under 2 MacBook Pro esc G Search or type URL

Explanation / Answer

Here the team batting average, say X has normal distribution having mean 245 and sd = 40.

So, if you select one game from 2014, the probability that the team batting average was over 300 is,

P[Y > 300] = 1 - P[Y < 300] = 1 - 0.9154343 = 0.08456572

Now, if you select one game from 2014, the probability that the team batting average was under 200 is,

P[Y < 200] = 0.1302945

Related Questions

Navigate

• Browse (All)
• Browse M
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.