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A survey found that people keep their televisions an average of 5.1 years. The standard deviation is 0.85 year. If a person decides to buy a new TV, find the probability that he or she owned the old one for the given amount of time. Assume the random variable is normally distributed.

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Answer:

[tex]P(x<4.4)=0.50[/tex]

Step-by-step explanation:

From the question we are told that:

Mean [tex]\=x =5.1 year[/tex]

Standard deviation [tex]\sigma=0.85[/tex]

Generally the equation for Z value is mathematically given by

 [tex]Z = (4.4 - 4.4) / 0.73[/tex]

 [tex]Z= 0[/tex]

Therefore

From table

 [tex]P(x<4.4)=0.50[/tex]