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# (solved) Week 5 Assignment – Understanding Normal Distribution

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Question

Given the plot of normal distributionsÂ AÂ andÂ BÂ below, which of the following statements is true? Select all correct answers.

Question

Given the plot of normal distributionsÂ AÂ andÂ BÂ below, which of the following statements is true? Select all correct answers.

Question

Lexie averagesÂ 149Â points per bowling game with a standard deviation ofÂ 14Â points. Suppose Lexie’s points per bowling game are normally distributed. LetÂ X=Â the number of points per bowling game. ThenÂ Xâˆ¼N(149,14).

Suppose Lexie scores 186 points in the game on Tuesday.

Question

SupposeÂ Xâˆ¼N(12.5,1.5), andÂ x=11. Find and interpret theÂ z-score of the standardized normal random variable.

Question

Given the plot of normal distributionsÂ AÂ andÂ BÂ below, which of the following statements is true? Select all correct answers.

Question

Given the plot of normal distributionsÂ AÂ andÂ BÂ below, which of the following statements is true? Select all correct answers.

Question

Given the plot of normal distributionsÂ AÂ andÂ BÂ below, which of the following statements is true? Select all correct answers.

Question

Rosetta averagesÂ 148Â points per bowling game with a standard deviation ofÂ 14Â points. Suppose Rosetta’s points per bowling game are normally distributed. LetÂ X=Â the number of points per bowling game. ThenÂ Xâˆ¼N(148,14).

Question

SupposeÂ Xâˆ¼N(16.5,0.5), andÂ x=16. Find and interpret theÂ z-score of the standardized normal random variable.

Question

John averagesÂ 58Â words per minute on a typing test with a standard deviation ofÂ 11Â words per minute. Suppose John’s words per minute on a typing test are normally distributed. LetÂ X=Â the number of words per minute on a typing test. ThenÂ Xâˆ¼N(58,11).

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