MATH 302 Week 4 STATISTICS TEST Part 1 of 6 - Calculations of Probabilities Questions with Answers

Week 4 Test

Part 1 of 6 - Calculations of Probabilities Questions 3.0/ 3.0 Points

Question 1 of 20
1.0/ 1.0 Points
The mean yearly rainfall in Sydney, Australia, is about 134 mm and the standard deviation is
about 66 mm ("Annual maximums of," 2013). Assume rainfall is normally distributed. How
many yearly mm of rainfall would there be in the top 15%? Round answer to 2 decimal places.
Answer: 202.40

Answer Key:202.40
Feedback:
Top 15%, is in the bottom 85% percentile.
In Excel,
=NORM.INV(.85,134,66)
Question 2 of 20
1.0/ 1.0 Points
Find P(Z ≥ .42). Round answer to 4 decimal places. Answer: 0.3372

Answer Key:0.3372|.3372
Feedback:
In Excel,
=1-NORM.S.DIST(0.42,TRUE)
Question 3 of 20
1.0/ 1.0 Points
Find the area under the standard normal distribution to the left of z = -1.35. Round answer to 4
decimal places. Answer: 0.0885

Answer Key:0.0885|.0885
Feedback:
In Excel,
=NORM.S.DIST(-1.35,TRUE)
Part 2 of 6 - Continuous Random Variables and Probability Functions Questions 0.0/ 1.0 Points

Question 4 of 20
0.0/ 1.0 Points
Find the probability that falls in the shaded area.

, 

A.

0.525




B.

0.1257




C.

0.438




D.

0.375