3.3c.A.B.Women have head circumferences that are normally distributed with a mean of 23.55inches and a standard deviation of 0.93 inches.If the HATS BY CHARLIE company produced hats so that they fit headcircumferences between 22.2 inches and 24.2 inches, then what is the probabilitythat a woman can fit into these hats?A.If the HATS BY CHARLIE company produced hats so that they fit headcircumferences between 22.2 inches and 24.2 inches, then what is the probabilitythat a randomly selected group of 40 woman can fit into these hats?B.Write a sentence or two that explains your answer to 3B and why you think thatanswer is correct in connection to your answer in 3A.

For the distribution of the circumference of the heads (in inches) of women at the population level,…

Answered: 3. 3c. A. B. Women have head…

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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The average salary for a civil engineering major is $75,000 with a standard deviation of $10,000. A university wants to determine how well their students in their civil engineering program get paid after graduating. They ask one class of 80 students in a course to give their salaries after graduating. What is the probability the average salary of the 80 students is between $73,000 and $77,000? 0.16 O 0.93 O 0.68 O 0.78
Answer D
The probability that Mugdho loses an armwrestling match against Snigdho is 60.0%. Let’s say, there’s no tie . Suppose they both will play 19 matches against each other . a. What is the mean number of matches where Snigdho defeats Mugdho? b. What is the standard deviation in the number of armwrestling matches that Mugdho loses? c. What is the probability that the number of matches Snigdho wins is more than 1 standard deviations away from the mean value? Answer in exact fraction, or rounded to at least 4 decimal places.
someone please answer these questions
6.The heights of players in a sports league are normally distributed with a mean of 180cm and a standard deviation of 6 cm. What is the probability that a player has a height between 168 cm and 186 cm? A.95% B.81.5% C.47.5% D.68%
Some sources report that the weights of full-term newborn babies in a certain town have a mean of 7 pounds and a standard deviation of 0.6 pounds and are Normally distributed. a. What is the probability that one newborn baby will have a weight within 0.6 pounds of the mean-that is, between 6.4 and 7.6 pounds, or within one standard deviation of the mean? b. What is the probability that the average of nine babies' weights will be within 0.6 pounds of the mean; will be between 6.4 and 7.6 pounds? c. Explain the difference between (a) and (b).
O 6. Salaries for Actuaries The average salary for gradu- ates entering the actuarial field is $63,000. If the salaries are normally distributed with a standard deviation of $5000, find the probability that a. An individual graduate will have a salary over $68,000. b. A group of nine graduates will have a group average over $68,000. Source: www.payscale.com & 7. Commuter Train Passengers On a certain run of : commuter train, the average number of passengers is 476 and the standard deviation is 22. Assume the variable is normally distributed. If the train makes the run, find the probability that the number of passengers will be a. Between 476 and 500 passengers b. Fewer than 450 passengers c. More than 510 passengers
e) Suppose that weekly household expenditures on petrol are normally distributed, with a mean of $120 and a standard deviation of $50. i. A family is randomly selected. Find the probability that this family spends more than $245 per week on petrol? A 2.5 B 0.0062 C 0.9938 D 0.0202 ii. The government wants to promote public transport and will award a prize to the families who spend the lowest amount on petrol. If the government only wants to give a prize to 10% of households, what is the most that a family is allowed to spend on petrol each week to obtain the prize? A $56 B $184 C $3.50 D $217.60 In a sample of 25 families, what is the probability that the average weekly expenditure on petrol will be less than $105? ii. A 0.0668 B 0.9332 C 0.3821 D 0.6179
Body temperature. Suppose the body temperature of healthy individuals is approximately normally distributed with a mean of 37.0°C and a standard deviation of 0.4°C. a. If 130 healthy individuals are randomly selected, what is the probability that the average temperature for these individuals is 36.80°C or lower? b. Would you consider an average temperature of 36.80°C as unlikely to occur if the true average temperature of healthy individuals is 37.0°C?
4. A manufacturer produces 25-pound lifting weights. The lowest actual weight is 24 pounds, and the highest is 26 pounds. Each weight is equally likely so the distribution of weights is uniform. A sample of 100 weights is taken. a. What is the distribution for the weights of one 25-pound lifting weight? What is the mean and standard deviation? b. What is the distribution for the mean weight of 100 25-pound lifting weights? c. Find the probability that the mean actual weight for the 100 weights is less than 24.9. 1 I
1.Calculate the probability of the height being less than 300, if the distribution of height was normal. Use the mean and standard deviations 2.Generate a graph to describe the distribution of height and insert it below. Would you think that the assumption that height was normal is accurate? Why or why not? Are speed and height associated? Why or why not? Generate a graph or table that supports.

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