VTE telephone operators are assigned to handle all 411 calls. The mean time to r

Question

VTE telephone operators are assigned to handle all 411 calls. The mean time to respond to a caller is 30 seconds with a standard deviation of 5 seconds. Use 4 place places of accuracy. what is the proportion of calls are responded to in 23 to 27 seconds? VTE telephone operators are assigned to handle all 411 calls. The mean time to respond to a caller is 30 seconds with a standard deviation of 5 seconds. Use 4 place places of accuracy. what is the proportion of calls are responded to in 23 to 27 seconds? VTE telephone operators are assigned to handle all 411 calls. The mean time to respond to a caller is 30 seconds with a standard deviation of 5 seconds. Use 4 place places of accuracy. what is the proportion of calls are responded to in 23 to 27 seconds?

Explanation / Answer

From information given, Xbar=30, s=5. Compute Z scores corresponding to Xi=23 and 27.

Z1=(Xi-Xbar)/s=(23-30)/5=-1.4 and Z2=(27-30)/5=-0.6. Find areas corresponding to Z scores and subtrat if each Z scores are of same sign.

P(23<X<27)=0.4192-0.2257=0.1935

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