2. In order to beat her brother, Ms. Smith needs to have lap times that are less than 1.72 minutes. Find the proportion of last were faster than 1.72 minutes. Interpret your result in the context of the problem.

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Do part 4. Show work
7:13
Name:
Date:
Calculating Normality Rexion Worksho
quiz or a test!
For each question, be sure to draw the appropriate sketches and show the appropriate formulas. Show your work as if this wa
Mc Smith spent Saturday at RPM Raceway driving race cars and competing against her brother: For 400 laps, the
cerded her lap time in minutes. At the end of the day, she plots the dist of times and realizes that it follows
in this range? Interpret your result in the context of the problem. (Here, proportion is synonymous with arca under the
1. Ms. Smith would really like her lap times to be consistently between 1.75 and 1.85 minutes. What proportion of her laps were
approximately normal distribution with a mean of 1.84 and a standard
of .07.
curve percentage)
the in
2. In order to beat her brother, Ms. Smith needs to have lap times that are less than 1.72 minutes. Find the proportion of th
were faster than 1.72 minutes. Interpret your result in the context of the problem.
3. In what proportion of lap times did it take Ms. Smith more than 2 minutes? Interpret your result in the context of the problem.
4. What lap time is necessary for Ms. Smith to be in the fastest 3% of all his laps? Interpret your result in the context of the
problem.
40
×
(
Transcribed Image Text:7:13 Name: Date: Calculating Normality Rexion Worksho quiz or a test! For each question, be sure to draw the appropriate sketches and show the appropriate formulas. Show your work as if this wa Mc Smith spent Saturday at RPM Raceway driving race cars and competing against her brother: For 400 laps, the cerded her lap time in minutes. At the end of the day, she plots the dist of times and realizes that it follows in this range? Interpret your result in the context of the problem. (Here, proportion is synonymous with arca under the 1. Ms. Smith would really like her lap times to be consistently between 1.75 and 1.85 minutes. What proportion of her laps were approximately normal distribution with a mean of 1.84 and a standard of .07. curve percentage) the in 2. In order to beat her brother, Ms. Smith needs to have lap times that are less than 1.72 minutes. Find the proportion of th were faster than 1.72 minutes. Interpret your result in the context of the problem. 3. In what proportion of lap times did it take Ms. Smith more than 2 minutes? Interpret your result in the context of the problem. 4. What lap time is necessary for Ms. Smith to be in the fastest 3% of all his laps? Interpret your result in the context of the problem. 40 × (
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