Length of skateboards in a skateshop are normally distributed with a mean of 31.3 in and a standard deviation of 0.2 in. The figure below shows the distribution of the length of skateboards in a skateshop. Calculate the shaded area under the curve. Express your answer in decimal form with at least two decimal place accuracy. Answer: 30.9 31.5 The Length of Skateboards in a Skateshop
Length of skateboards in a skateshop are normally distributed with a mean of 31.3 in and a standard deviation of 0.2 in. The figure below shows the distribution of the length of skateboards in a skateshop. Calculate the shaded area under the curve. Express your answer in decimal form with at least two decimal place accuracy. Answer: 30.9 31.5 The Length of Skateboards in a Skateshop
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Transcribed Image Text:Length of skateboards in a skateshop are normally distributed with a mean of 31.3 in and a standard deviation of 0.2 in. The figure
below shows the distribution of the length of skateboards in a skateshop. Calculate the shaded area under the curve. Express your answer
in decimal form with at least two decimal place accuracy.
Answer:
30.9
31.5
The Length of Skateboards in a Skateshop
Transcribed Image Text:a) Fact: the region under the standard normal curve that lies to the left of -1.15 has area 0.125072.
Without consulting a table or a calculator giving areas under the standard normal curve, determine the area under the standard normal curve
that lies to the right of 1.15.
answer:
b) Which property of the standard normal curve allowed you to answer part a)?
O A. Almost all the area under the standard normal curve lies between -3 and 3
OB. The total area under the curve is 1
OC. The standard normal curve is symmetric about 0
D. The standard normal curve extends indefinitely in both directions
O E. None of the above
Expert Solution
Step 1
Assume, be the random variable which follows normal distribution with and .
The proportion of data points with value in between and , can be given by the area under the normal distribution curve (with and ) that lies between and .
The total area under the normal curve is always 1 and the normal curve is a bell shaped curve which is symmetric about the mean.
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