Based on historical data, your manager believes that 40% of the company's orders come from first-time customers. a random sample of 91 orders will be used to estimate the proportion of first-time-customers. what is the probability that the sample proportion is between 0.26 and 0.43? answer = (enter your answer as a number accurate to 4 decimal places.)

Step-by-step explanation:

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

The population proportion have the following distribution

And we can solve the problem using the z score on this case given by:

We are interested on this probability:

And we can use the z score formula, and we got this:

And we can find this probability like this:

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step-by-step explanation:

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