du LTE 3:29 PM @ 47%. courses1.webwork.maa.org ch4: Problem 8 Previous Problem P

Question

du LTE 3:29 PM @ 47%. courses1.webwork.maa.org ch4: Problem 8 Previous Problem Problem List Next Problem (1 point) Length of snowboards in a boardshop are normally distributed with a mean of 152.7cm cm and a standard deviation of 0.8 cm. The figure below shows the distribution of the length of snowboards in a boardshop. Calculate the shaded area under the curve. Express your answer in decimal form with at least two decimal place accuracy. Answer: 152.164153.236 The Length of Snouboards in a Boardshop Preview My Answers Submit Answers You have attempted this problem 0 times.

Explanation / Answer

Given

mean = 152.7

standard deviation =0.8

And we want to find area between 152.164 and 153.236 .

P(152.164 < X < 153.236 )

Now compute Z scors

For X=152.164

Z=(152.164 -152.7) /0.8

= - 0.67

For X=153.236

Z=(153.236-152.7) /0.8

= 0.67

P(152.164 < X < 153.236 ) = P(-0.67 < Z < 0.67 )

= P(Z < 0.67 ) - P(Z < -0.67)

= 0.7485 -0.2514

= 0.4971

So the area under the curve is 0.4971

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