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My name is Ann [436]
3 years ago
10

The newsstand at the corner of Manilla Avenue and GreenTree Rd. in GreenTree sells the daily edition of The Pittsburgh Press. Th

e number of papers sold each day follows a normal probability distribution with a mean of 600 copies and a standard deviation of 15 copies. You want to find the probability of selling more than 625 newspapers on any given day. What is the Excel Command
Mathematics
1 answer:
Pavlova-9 [17]3 years ago
6 0

Answer:

1 - NORM.DIST(625, 600, 15 ,TRUE)

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In Excel:

We use the norm.dist command.

NORM.DIST(x, mean, standard_dev ,cumulative)

x is the tested value, mean and standard_dev are the mean and the standard deviation, while cumulative we use true to find a probability of a value lower than x, so for a value higher than x, we use:

1 - NORM.DIST(x, mean, standard_dev ,TRUE)

Mean of 600 copies and a standard deviation of 15 copies.

mean = 600, standard_dev = 15

You want to find the probability of selling more than 625 newspapers on any given day.

x = 625

What is the Excel Command

1 - NORM.DIST(625, 600, 15 ,TRUE)

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3 years ago
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2 years ago
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There are 20 cups and each one holds 10 fluid ounces. Assuming that she wants to fill them all up to the brim and use the complete 10 fluid ounces for each cup this means she would have a total of 200 fluid ounces: 20 * 10 = 200

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