The probability that a household views television between 5 and 10 hours a day is : 0.6553
Given data :
mean daily viewing time ( μ ) = 8.35 hours
standard deviation ( σ ) = 2.5 hours
P ( 5 ≤ x ≤ 10 )
= P ((5 - 8.35 )/2.5 < z < ( 10 - 8.35 )/2.5)
= P ( -1.34 < z < 0.66 )
Therefore the probability P ( 5 ≤ x ≤ 10 ) becomes
P( z < 0.66 ) - P ( z < -1.34 )
= 0.7454 - 0.0901 ( applying normal tables )
= 0.6553
Hence we can conclude that The probability that a household views television between 5 and 10 hours a day is : 0.6553
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What is the probability that a household views television between 5 and 10 hours a day