3. Weights of 1-year old boys have a normal distribution; therefore, a normal curve is a goodmathematical model for the probability distribution. The mean is 22.8 lbs and the standarddeviation is 2.2 lbs.a. Label the horizontal axis of the normal curve according to the 68/95/99.7 rule.16.218.420.622.82527.229.4Weight (lbs)68% is 20.6 to 2595% is 18.4 to 27.299.7% is 16.2 to 29.4b. What is the probability that a randomly selected 1-year-old boy weighs between 20.6 lbsand 25 lbs? Write this event in probability notation and use stat crunch to find the associatedprobability.

a. μ = mean = 22.8σ = standard deviation = 2.2 According to empirical rule or the 68/95/99.7 rule,…

Answered: 3. Weights of 1-year old boys have a…

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 daily high temperature for the month of August in Chicago is normally distributed with a mean of 70 degrees and a standard deviation of 5 degrees. QUESTION 1 What is the probability that a randomly selected August day in Chicago will have a high temperature below 85 degrees? Use the given normal distribution curve below to help you label and shade the correct picture for this problem. O A. 0.9987 О в. 0.0013 OC.0.4987 O D. 0.0087 Save All Answers Save and Submit Click Save and Submit to saue and submit. Click Save All Answers to save all answers. 6:35 PM e Type here to search 11/30/202 10/05/17 F1 F2 F3 F4 F5 F6 F7 F8 PrtSc Insert Delete F9 F10 F11 F12 C@ & 3 5 6 7 080 9- Backspace Num Lock T Y U 1 PI 00 Home + II S4 LI 2
The full height of a certain species of tree has a normal probability distribution with a mean of 195.6 ft and a standard deviation of 7.5 ft. State the random variable. ¯x = the height of a certain species of tree ¯x = the mean height of a certain species of tree x = the height of a certain species of tree x = the diameter of a certain species of tree A tree of this type grows in my backyard, and it stands 187.4 feet tall. Find the probability that the height of a randomly selected tree is shorter than mine. Round to three decimal places.Which is the notation for the probability that the height is shorter than mine? P(x < 187.4) P(¯x < 195.6) P(¯x > 195.6) P(x > 195.6) P(¯x< 187.4) P(x < 195.6)
The lengths of pregnancies are normally distributed with a mean of 268days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting 309 days or longer. b. If the length of pregnancy is in the lowest 2%, then the baby is premature. Find the length that separates premature babies from those who are not premature. a. The probability that a pregnancy will last 309 days or longer is (Round to four decimal places as needed.) b. Babies who are born on or before____days are considered premature. (Round to the nearest integer as needed.)
Please give solution in correct and step by step detailed format thanku 1. The weights of extra-large eggs are normally distributed with a mean of 1 ounce and a standard deviation of 0.1 ounce. What is the probability that a carton of a dozen eggs weighs more than 13 ounces? A. 0.1814 B 0.0000 C 0.0019 D 0.2033
The average score for games played in the NFL is 21.5 and the standard deviation İs 9.2 points. 42 games are randomly selected. Round all probabilities to 4 decimal places where possible, percentiles to 2 decimal places and assume a normal distribution. a. What is the distribution of æ? ¤ ~ N(l 21.5
Rhiannon made her first sky dive while in college. Based on a normal distribution with mean 52.8 years and standard deviation 10.3, what must the age of a skydiver be to fall in the bottom 11.12% of the distribution? 38.561 65.368 40.232 33.814
The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15days. a. Find the probability of a pregnancy lasting 309 days or longer. b. If the length of pregnancy is in the lowest 3%,then the baby is premature. Find the length that separates premature babies from those who are not premature.
CNNBC recently reported that the mean annual cost of auto insurance is 968 dollars. Assume the standard deviation is 259 dollars, and the cost is normally distributed. You take a simple random sample of 36 auto insurance policies. Round your answers to 4 decimal places. a. What is the distribution of X? X - N( 968 259 b. What is the distribution of ? T - N( 968 c. What is the probability that one randomly selected auto insurance is less than $1015? 43.1667 0.5720 d. a simple random sample of 36 auto insurance policies, find the probability that the average cost is less than $1015. 0,8619 e. For part d), is the assumption of normal necessary? O Yes No

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