4. Find the area of the standard normal distribution between z=-o.67 and z=05. Cheryl has taken two quizes in her history class. She scired 15 on the second quiz, fo which mean of all scores b. In a shipment of 6000 tomatoes, how many tomatoes can be expectedto weigh more than 0.31 lb?c. In a shipment of 4500 tomatoes, how many tomatoes can be expectedto weigh from 0.31 lb to 0.91 lb?9. A study shows that the lengths of the careers of professional footballplayers are nearly normally distributed, with a mean of 6.1 years and astandard deviation of 1.8 years.What percent of professional football players have a career of morethan 9 years ?b. If a professional football player is chosen at random, what is theprobability that the player will have a career of between 310. A consumer grouped tested a sample of 100 light bulbs. It found that themean life expectance of the bulbs was 842 hours, with a standard deviationof 90. One particular light bulb had a z-score of 1.2. What was the life spanof this light bulb?11. On a reading examination given to 900 students, Fe's score of 602 washigher than the scores of 576 of the students who took the examination.What is the percentile for Fe's score.

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Answered: 4. Find the area of the standard normal…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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4. Find the area of the standard normal distribution between z=-o.67 and z=0

5. Cheryl has taken two quizes in her history class. She scired 15 on the second quiz, fo which mean of all scores

b. In a shipment of 6000 tomatoes, how many tomatoes can be expected
to weigh more than 0.31 lb?
c. In a shipment of 4500 tomatoes, how many tomatoes can be expected
to weigh from 0.31 lb to 0.91 lb?
9. A study shows that the lengths of the careers of professional football
players are nearly normally distributed, with a mean of 6.1 years and a
standard deviation of 1.8 years.
What percent of professional football players have a career of more
than 9 years ?
b. If a professional football player is chosen at random, what is the
probability that the player will have a career of between 3
10. A consumer grouped tested a sample of 100 light bulbs. It found that the
mean life expectance of the bulbs was 842 hours, with a standard deviation
of 90. One particular light bulb had a z-score of 1.2. What was the life span
of this light bulb?
11. On a reading examination given to 900 students, Fe's score of 602 was
higher than the scores of 576 of the students who took the examination.
What is the percentile for Fe's score.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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