The average length of hockey sticks produced at an assembly line is 186 cm with a standard deviation of 3 cm. Furthermore, it is known that the length of the hockey sticks is normally distributed. 1. What is the probability that a randomly selected hockey stick will have length of atleast 190cm? 2. 33% of the hockey sticks produced are longer than how many cms?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
icon
Related questions
Question

The average length of hockey sticks produced at an assembly line is 186 cm with a standard deviation of 3 cm. Furthermore, it is known that the length of the hockey sticks is normally distributed.

1. What is the probability that a randomly selected hockey stick will have length of atleast 190cm?

2. 33% of the hockey sticks produced are longer than how many cms?

 

Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,