(a) What percentage of the area under the normal curve lies to the left of μ?%(b) What percentage of the area under the normal curve lies between μ-o and μ + o?%(c) What percentage of the area under the normal curve lies between μ- 3o and μ + 3o?%

here we have to use Empirical rule

Answered: (a) What percentage of the area under…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 45SE: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the...

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A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 3:40 p.m. At this time, he started pumping gas into the tank. At exactly 3:44, the tank was full and he noticed that he had pumped 10.7 gallons. What is the average rate of flow of the gasoline into the gas tank?
What percentage of the area under the normal curve lies as given below? (a) to the right of μ %(b) between μ – 2σ and μ + 2σ %(c) to the right of μ + 3σ (Use 2 decimal places.) %
(b) Find the area under the normal curve to the left of z=−1.53 plus the area under the normal curve to the right of z=2.53. The combined area is
The acceptable level for insect filth in a certain food item is 5 insect fragments (larvae, eggs, body parts, and so on) per 10 grams. A simple random sample of 50 ten-gram portions of the food item is obtained and results in a sample mean of x = 5.3 insect fragments per ten-gram portion. Complete parts (a) through (c) below. o: = 0.316 (Round to three decimal places as needed.) (c) What is the probability a simple random sample of 50 ten-gram portions of the food item results in a mean of at least 5.3 insect fragments? P(x 2 5.3) = ||| (Round to four decimal places as needed.)
(a) What percentage of the area under the normal curve lies to the left of ??(b) What percentage of the area under the normal curve lies between ? − ? and ? + ?? (c) What percentage of the area under the normal curve lies between ? − 3? and ? + 3??
What percentage of the area under the normal curve lies as given below? (a) to the right of μ (Enter an exact number.) % (b) between μ − 2σ and μ + 2σ (Enter an exact number.) % (c) to the right of μ + 3σ (Enter a number. Use 2 decimal places.) %
Compare the area in a t-distribution for the sample of size n=13n=13 below −2.8 and the area in a t-distribution for the sample of size n=31n=31 above 2.8.
Find the area under the normal curve to the left of z=−0.23 plus the area under the normal curve to the right of z=1.20.
Find the z-scores for which 15% of the distribution's area lies between −z and z.
(a) The figure to the right represents the normal curve with μ=266 days and σ=16 days. The area to the left of X=245 is 0.0947. Provide two interpretations of this area. Provide one interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals.) A. The proportion of human pregnancies that last more than nothing days is nothing. B. The proportion of human pregnancies that last less than nothing days is nothing.
Determine the area under the standard normal curve that lies between (a) z=−1.04 and z=1.04 (b) z=−2.17 and z=0(c) z=−1.79 and z=−0.22 (a) The area that lies between z=−1.04 and z=1.04 is ________. (Round to four decimal places as needed.) (b) The area that lies between z=−2.17 and z=0 is ________. (Round to four decimal places as needed.) (c) The area that lies between z=−1.79 and z=−0.22 is ________. (Round to four decimal places as needed.)
What percentage of the area under the normal curve lies as given below? (a) to the right of μ (Enter an exact number.) Correct: Your answer is correct. % (b) between μ − 2σ and μ + 2σ (Enter an exact number.) Incorrect: Your answer is incorrect. % (c) to the right of μ + 3σ (Enter a number. Use 2 decimal places.) Incorrect: Your answer is incorrect. %

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(a) What percentage of the area under the normal curve lies to the left of μ? % (b) What percentage of the area under the normal curve lies between μ- σ and μ + ? % (c) What percentage of the area under the normal curve lies between μ-30 and μ + 30? %