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in Probability Distributions by (48.1k points)
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A statistical analysis of long-distance telephone calls indicates that the length of these calls is normally distributed with a mean of 240 seconds and a standard deviation of 40 seconds. What proportion of calls lasts less than 180 seconds? 

(a) 0.214 

(b) 0.094

(c) 0.933 

(d) 0.067

1 Answer

+1 vote
by (48.4k points)
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Best answer

(d) 0.067

µ = 240, σ = 40 

P(X < 180) 

= P(Z < (180 - 240)/40) 

= P(Z < -1.5) = P(Z > 1.5) 

= 0.5 – P (0 < Z < 1.5) 

= 0.5 – 0.4332 

= 0.0668 

= 0.067

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