Lexie scores an average of 527 points in a pinball game, and her points in a pinball game are normally distributed. Suppose Lexie scores 471 points in a game, and this value has a z-score of −2. What is the standard deviation? Do not include the units in your answer. For example, if you found that the standard deviation was 10 points, you would enter 10

Answer:  28 pointsStep-by-step explanation:Given : Lexie scores an average of [tex]\mu=527[/tex]  points in a pinball game, and her points in a pinball game are normally distributed.Let x be the random variable that represents the  her points in a pinball game.[tex]z=\dfrac{x-\mu}{s}[/tex], where s is the standard deviation.Lexie scores 471 points in a game, and this value has a z-score of −2.i.e. [tex]-2=\dfrac{471-527}{s}[/tex][tex]-2s=-56\\\\\Rightarrow\ s=\dfrac{56}{2}=28[/tex]Hence, the standard deviation= 28 points