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StudyBlue is a website that allows you to create and use online flashcards (or look at...

StudyBlue is a website that allows you to create and use online flashcards (or look at flashcards that others have created).

The average set of flashcards has 134 cards with a standard deviation of 61.

Assume that the number of cards per set is Normally distributed, and that a deck of flashcards has 211 cards. About what share of decks of flashcards are smaller than that one? The answer will be between 0 and 1. Copy and paste from Stata or be accurate to at least 3 places past the decimal.

math   Statistics-And-Probability   
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Answer #1

Solution:
Given in the question
Average = 134
Standard deviation = 61
We need to find
P(Xbar<211)
Z = (211-134)/61 = 77/61 = 1.26
From Z table we found p-value
P(Xbar<211) = 0.8962
So there is 89.62% probability that deck of flashcard is smaller than 211 cards.

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