A factory manager collected data on the number of equipment breakdowns per day. From those​ data, she derived the probability distribution shown to the​ right, where W denotes the number of breakdowns on a given day. Answer parts a through c.   w 0 1 2     P(W=w) 0.65 0.20 0.015                 a. Determine μW and σW.   μW= ​(Type an integer or a​ decimal.) Determine μW and σW.   μW=0.350.35 ​(Type an integer or a​ decimal.)   σW= ​(Round to three decimal places as​ needed.) b. On​ average, how many breakdowns occur per​ day?   ​(Type an integer or a​ decimal.) c. About how many breakdowns are expected during a​ 1-year period, assuming 250 work days per​ year?   ​(Type an integer or a​ decimal.)

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.CR: Chapter 13 Review
Problem 9CR
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A factory manager collected data on the number of equipment breakdowns per day. From those​ data, she derived the probability distribution shown to the​ right, where W denotes the number of breakdowns on a given day. Answer parts a through c.
 
w
0
1
2
 
 
P(W=w)
0.65
0.20
0.015
 
 
 
 
 
 
 
 
a.
Determine μW and σW.
 
μW=
​(Type an integer or a​ decimal.)
Determine
μW
and
σW.
 
μW=0.350.35
​(Type an integer or a​ decimal.)
 
σW=
​(Round to three decimal places as​ needed.)
b.
On​ average, how many breakdowns occur per​ day?
 
​(Type an integer or a​ decimal.)
c.
About how many breakdowns are expected during a​ 1-year period, assuming 250 work days per​ year?
 
​(Type an integer or a​ decimal.)
 
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