Please see below. Need help with these. 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 figurebelow shows the distribution of the length of skateboards in a skateshop. Calculate the shaded area under the curve. Express your answerin decimal form with at least two decimal place accuracy.Answer:30.931.5The Length of Skateboards in a Skateshop 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 curvethat 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 3OB. The total area under the curve is 1OC. The standard normal curve is symmetric about 0D. The standard normal curve extends indefinitely in both directionsO E. None of the above

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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 26PFA

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Question

Please see below. Need help with these.

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

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, $X$ be the random variable which follows normal distribution with $Mean = μ$ and $Standard deviation= σ$ .

The proportion of data points with value in between $a$ and $b$ , can be given by the area under the normal distribution curve (with $Mean = μ$ and $Standard deviation= σ$ ) that lies between $X = a$ and $X = b$ .