Use 68-95-99.7 to draw the density curve for the normal distribution of pregnancy lengths, Mark and label the The speeds of cars on a certain highway are found to be approximately normally distributed, with a mean speed of 62 miles/hr with a standard deviation of 4 miles/hr. e(x= M=l2 cation the mean and three standard deviatione nhoun nd belowy the mean.

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4. The speeds of cars on a certain highway are found to be approximately normally distributed, with a mean
a. Use 68-95-99.7 to draw the density curve for the normal distribution of pregnancy lengths, Mark and label the
speed of 62 miles/hr with a standard deviation of 4 miles/hr.
e(x= M=62
focation the mean and three standard deviations above and below the mean.
351 344 4/
13.51
2,35
Mzo u20
こo MIa ~+0 M420 人十36
D. Answer the following questions using the density curve you drew for part a. It may help to shade relevant parts of
the curve.
i.
What perçent of speed of all the cars is between 50 miles/hr and 66 miles/hr?
ー(-32241)
Plu-36L2L11440)
= 83.85%
-What are the upper, and lowyer bounds for the middle 95% of the speed etall the cars?
Ce6-C62)
ii.
ニ
u-20 = C62-2(4) =54
u-20 = 62+ 2(4)- 70
Polend
Luver
おuolに54
iii.
What percent of speed of all the cars is between 54 miles/hr and 74 miles/hr?
PLE4-6214 27442)
-Pl-222L3)
97.35 1.
=P14-20L2LM+30)
What percent of speed of all the cars is between 66 miles/hr or less?
iv.
What percent of speed of all the cars is between 50 miles/hr or more?
V.
vi.
How fast as the fastest 16% of the cars?
vii.
How fast are the slowest 2.5% of the cars?
Transcribed Image Text:4. The speeds of cars on a certain highway are found to be approximately normally distributed, with a mean a. Use 68-95-99.7 to draw the density curve for the normal distribution of pregnancy lengths, Mark and label the speed of 62 miles/hr with a standard deviation of 4 miles/hr. e(x= M=62 focation the mean and three standard deviations above and below the mean. 351 344 4/ 13.51 2,35 Mzo u20 こo MIa ~+0 M420 人十36 D. Answer the following questions using the density curve you drew for part a. It may help to shade relevant parts of the curve. i. What perçent of speed of all the cars is between 50 miles/hr and 66 miles/hr? ー(-32241) Plu-36L2L11440) = 83.85% -What are the upper, and lowyer bounds for the middle 95% of the speed etall the cars? Ce6-C62) ii. ニ u-20 = C62-2(4) =54 u-20 = 62+ 2(4)- 70 Polend Luver おuolに54 iii. What percent of speed of all the cars is between 54 miles/hr and 74 miles/hr? PLE4-6214 27442) -Pl-222L3) 97.35 1. =P14-20L2LM+30) What percent of speed of all the cars is between 66 miles/hr or less? iv. What percent of speed of all the cars is between 50 miles/hr or more? V. vi. How fast as the fastest 16% of the cars? vii. How fast are the slowest 2.5% of the cars?
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