A large call center outside a city tracks the number of phone calls recieved each day. The daily number of phone calls recieved is normally distributed with u = 144 and J = 6.3. Find the probability that on a randomly selected day the humber of phone calls received is between 140 and 146. ?(140 < X < 146) = 18 days Find the probability that a random sample of n = has a mean number of phone calls recieved between 140 and 146. P(140 < M < 146) = Enter your answers as numbers accurate to 3 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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**Apply the Central Limit Theorem for Sample Means**

A large call center outside a city tracks the number of phone calls received each day. The daily number of phone calls received is normally distributed with \( \mu = 144 \) and \( \sigma = 6.3 \).

Find the probability that on a randomly selected day the number of phone calls received is between 140 and 146.

\[ P(140 < X < 146) = \, \boxed{\phantom{Example Answer}} \]

Find the probability that a random sample of \( n = 18 \) days has a mean number of phone calls received between 140 and 146.

\[ P(140 < M < 146) = \, \boxed{\phantom{Example Answer}} \]

Enter your answers as numbers accurate to 3 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
Transcribed Image Text:**Apply the Central Limit Theorem for Sample Means** A large call center outside a city tracks the number of phone calls received each day. The daily number of phone calls received is normally distributed with \( \mu = 144 \) and \( \sigma = 6.3 \). Find the probability that on a randomly selected day the number of phone calls received is between 140 and 146. \[ P(140 < X < 146) = \, \boxed{\phantom{Example Answer}} \] Find the probability that a random sample of \( n = 18 \) days has a mean number of phone calls received between 140 and 146. \[ P(140 < M < 146) = \, \boxed{\phantom{Example Answer}} \] Enter your answers as numbers accurate to 3 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
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