The distribution of head circumference for full term newborn female infants isapproximately normal with a mean of 33.8 cm and a standard deviation of 1.2 cm.Macrocephaly refers to an overly large head in infants and is often classified as anyhead circumference larger than the lower 98% of the distribution. For full termnewborn female infants, determine the head circumference of a female infant suchthat 98% of the female infants have their head circumferences less than thisfemale infant. Enter your answer using one decimal place.16.4eTextbook and Media What is the difference between the probability distribution of a discrete random variable and that of a continuous random variable?Select each correct answer.A discrete random variable has countable values, a continuous random variable has values that are not countable.A continuous random variable has countable values, a discrete random variable has values that are not countable.- The probability that a continuous random variable x assumes a value within a certain interval is given by the area under thecurve between the two limits of the interval. For a discrete random variable the value is given by the summation of valuesbetween those two points.The probability distribution of a continuous random variable assigns probabilities to points while that of a discrete randomvariable assigns probabilities to intervals.The probability distribution of a discrete random variable assigns probabilities to points while that of a continuous randomvariable assigns probabilities to intervals.eTextbook and Medin

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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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Small newborn seal pups have a lower chance of survival. Suppose the length of pups was found to follow a Normal distribution with a mean of 29.5 inches and a standard deviation of 1.2 inches. What percentage of seal pups are between 29.5 and 32 inches?
The weight of potato chips in a large-size bag is stated to be 24 ounces. The amount that the packaging machine puts in these bags is believed to have a normal model with a mean of 24.2 ounces and a standard deviation of 0.12 ounces.
The mean length of six-year-old rainbow trout in the Arolik River in Alaska is 481 millimeters with a standard deviation of 41 millimeters. Assume these lengths are normally distributed. What proportion of six-year-old rainbow trout are less than 501 millimeters long?
The speed of cars driving past Johnson City High School, on 666 Reynolds Rd, were recorded over one school year. The speed limit on that part of Reynolds Rd is 20 mph. The mean of the speed readings was 24.19 mph, with a standard deviation of 3.56 mph.
The use of chemicals is considered to increase the resistance to scratches during a painting process. The average durability was found to be 7.5 br and the standard deviation was found to be 1.5 br for the 15 parts painted using item A. The average durability was found to be 8.8 br and the standard deviation was found to be 1.2 br for the 12 parts painted using item B. What is the value of the test statistic calculated in the test that will be performed to determine which substance to choose? Determine it at the 99% confidence level with the assumption that the anacuttle variances are equal.Answer options group A)- 1,21 B) -4.68 C)- 3.26 D)-2.44
A study found that the mean systolic blood pressure was 106 mm Hg. Assume that the systolic blood pressure follows a normal distribution with mean = 106 mm Hg and a standard deviation of 8 mm Hg. What is the probability that a randomly selected systolic blood pressure is between 98 and 114 mm Hg?
Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean of 260 mg and a standard deviation of 48 mg. In a random sample of 600 adults, how many consume at least 320 mg of caffeine daily?
The speed of cars on a specific road is normally distributed with a mean of 54 mph and a standard deviation of 3. The top 2.5% of cars are traveling at at least what mph?
The heights of adult men in America are normally distributed, with a mean of 69.3 inches and a standard deviation of 2.67 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.8 inches and a standard deviation of 2.54 inches. a) If a man is 6 feet 5 inches tall, what is his z-score? z = 3.26
An automobile manufacture builds brakes with a specific diameter. The break data is normally distributed with a mean of 14.8 inches and a standard deviation of 1.3 inches. What percent of manufacture brakes have a size between 12.6 inches and 16.4 inches.
In a certain country the heights of adult men are normally distributed with a mean of 67.2 inches and a standard deviation of 2.3 inches. The country's military requires that men have heights between 64 inches and 75 inches. Determine what percentage of this country's men are eligible for the military based on height.
Steel rods are manufactured with a mean length of 25 centimeters. Because of variability in the manufacturing process, the lengths of the rods are approximately normally distributed with a standard deviation of 0.08cm. Any rods that are shorter than 24.81cm or longer than 25.19cm are discarded. What proportion of the rods will be discarded?

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