The total number of hrs, measured in units of 100 hrs, that a family runs a vacuum cleaner over a period of one year is a continuous random variable X that has the density function x, 0

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
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The total number of hrs, measured in units of 100 hrs, that a family runs a vacuum cleaner over a period of one year is a continuous random variable X that has the density function
x, 0<x<1
f (x) ={ 2-x, 1<x<2
0, elsewhere
Find the probability that over a period of one year, a family runs their vacuum cleaner. (type only the letter of your answer)
1. less than 120 hrs;
a. 13/25 b. 23/25 c. 17/25 d. 11/25
2. between 50 and 100 hrs.
a. 3/8 b. 1/2 c. 5/8 d. 3/4
Transcribed Image Text:The total number of hrs, measured in units of 100 hrs, that a family runs a vacuum cleaner over a period of one year is a continuous random variable X that has the density function x, 0<x<1 f (x) ={ 2-x, 1<x<2 0, elsewhere Find the probability that over a period of one year, a family runs their vacuum cleaner. (type only the letter of your answer) 1. less than 120 hrs; a. 13/25 b. 23/25 c. 17/25 d. 11/25 2. between 50 and 100 hrs. a. 3/8 b. 1/2 c. 5/8 d. 3/4
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