**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.

**Correct answer:**

**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**

**Correct answer:**

**Question**

**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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