Acomponent in a music system has a life expectancy of 2,400 hours with a standard deviation of 300 hours. if an average person listens to music for 1,000 hours in a year, the probability that the component lasts for more than 3 years is %. nextreset

2.228%

Step-by-step explanation:

Average life = 2400 hours

So,

An average person listens to music for 1,000 hours in a year

So, An average person listens to music in 3 years= hours

Now we are supposed to find the probability that the component lasts for more than 3 years

So,P(z<3000 hours or 3 years)=P(z<2)=0.9772

So,P(z>2)=1-0.9772=0.0228 or

Hence the probability that the component lasts for more than 3 years is 2.228%

898.1666667

step-by-step explanation:

5389/6 = 898.1666667