In the country of United States of Heightlandia, the heightmeasurements of ten-year-old children are approximatelynormally distributed with a mean of 53.8 inches, andstandard deviation of 5.3 inches.A) What is the probability that a randomly chosen child hasa height of less than 52.75 inches?Answer=answer to 3 decimal places.)(Round yourB) What is the probability that a randomly chosen child hasa height of more than 64.6 inches?Answer=answer to 3 decimal places.)(Round your

In the given question we have a random variable X which signifies the height measurements of ten…

Answered: In the country of United States of…

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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A Nielsen Company report states that the mean number of TV sets in a U.S. household is 2.24. Assume the standard deviation is 1.2. (Provide your answer with four decimal places) A. If a household is selected at random what is the probability that the number of TV sets is greater than 2 in that household? B.If a sample of 64 households selected what is the probability that the sample mean number of TV sets is greater than 2?
Exam scores of a stat distribution are normally distributed with a mean of 70 and a standard deviation of 10. a) If the professor wants to give A's to the top 10% of the students, what should be the cutoff point for an A? b) If there are 9 students in the class, what is the probability that the average score would be more than 75?
Assume that the square footage of a residential house in the US is normally distributed with a mean=1000 and standard deviation=150 square feet. If we select a random house what is the probability that it will be at most 1050 square feet?
The size of fish is important to commercial fishing. A study conducted in 2102 found that the length of Atlantic cod caught in nets in Karlskrona, Sweden is normally distributed with mean 47 cm and standard deviation 3.4 cm. 1.What is the probability that a randomly Atlantic cod is between 44 and 49 cm? Round your answer to 4 decimal places. 2.What is the probability that a random sample of 5 Atlantic cod have an average length between 44 and 49 cm? Enter your answer rounded to 4 decimal places. Document how you obtained your answer in the space provided below. 3.Why did the probability increase?
Among the details made by the motor factory, 10% are defective. Find the meanand the standard deviation of the number of defective details among 8 randomly chosen.What is the probability that not more than 2 details among them are defective?
The sizes of houses in Kenton County are normally distributed with a mean of 1369 square feet with a standard deviation of 171 square feet. For a randomly selected house in Kenton County, what is the probability the house size is under 1615 sq. ft. (round z to 2 decimal places & probability to 4 decimal places)? z = probability =
The result of a nationwide aptitude test in mathematics are normally distributed sith mean=63 and standard deviation =5 a. What is the probability of scores greater than 65? b. What is the probability of scores less than 65?
The patient recovery time from a particular surgical procedure is normally distributed with a mean of 6.5 days and standard deviation of 1.3 days. Write your answers in percent form. Round your answers to the nearest tenth of a percent. a) What is the probability of spending less than 9 days in recovery? b) What is the probability of spending more than 7 days in recovery? c) What is the probability of spending between 7 days and 9 days in recovery?
A new car that is a gas- and electric-powered hybrid has recently hit the market. The distance travelled on 1 gallon of fuel is normally distributed with a mean of 55 miles and a standard deviation of 8 miles. Find the probability of the following events: The car travels between 49 and 63 miles per gallon. Probability =
A racing car consumes a mean of 106106 gallons of gas per race with a standard deviation of 66 gallons. If 3333 racing cars are randomly selected, what is the probability that the sample mean would be greater than 103.7103.7 gallons? Round your answer to four decimal places.
The top-selling Red and Voss tire is rated 70000 miles, which means nothing. In fact, the distance the tires can run until wear-out is a normally distributed random variable with a mean of 82000 miles and a standard deviation of 7000 miles. A. What is the probability that the tire wears out before 70000 miles? Probability = B. What is the probability that a tire lasts more than 87000 miles? Probability =
A survey was conducted to measure the height of Canadian men. In the survey, respondents were grouped by age. In the 20-29 age group, the height was normally distributed, with a mean of 69.2 inches and a standard deviation of 2.9 inches. A study participant is randomly selected. a) Find the probability that his height is less than 66 inches. b) Find the probability that his height is between 66 and 72 inches. c) Find the probability that his height is more than 72 inches. d) Find P10 , the 10th percentile please show all steps using excel formulas

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