The age of children in kindergarten on the first day of school is uniformly distributed between 4.95 and5.87 years old. A first time kindergarten child is selected at random. Round answers to 4 decimal places ifpossible.a. The mean of this distribution isb. The standard deviation isc. The probability that the the child will be older than 5 years old?d. The probability that the child will be between 5.35 and 5.55 years old ise. If such a child is at the 44th percentile; how old is that child?years old.Question Help: Video 1 C Video 2 e Written Example 1 Message instructorSubmit QuestionJump to Answer80こ。DDF3F4F5F6F7FS%23$&13478.9WERTYSKCBMつ

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Problem 1P

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The average cost for two people to go to a movie is $18. The standard deviation is $4. Assume the cost is normally distributed. Using a graphing calculator find the probability that at any given theater, the cost will be more than $20 for two people to go to the movie. Please round to three decimal places. The probability that at any given theater, the cost will be more than $20 for two people to go to a movie is X S
Trucks in a delivery fleet travel a mean of 100 miles per day with a standard deviation of 38 miles per day. The mileage per day is distributed normally. Find the probability that a truck drives at least 141 miles in a day. Round your answer to four decimal places.
pr The lengths of pregnancies are normally distributed with a mean of 269 days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting 308 days or longer. b. If the length of pregnancy is in the lowest 4%, then the baby is premature. Find the length that separates premature babies from those who are not premature. /2 pr Click to view page 1 of the table. Click to view page 2 of the table. /2 a. The probability that a pregnancy will last 308 days or longer is (Round to four decimal places as needed.) pr b. Babies who are born on or before 12 days are considered premature. (Round to the nearest integer as needed.) /2 12 uc /2 12 or /2 or (2 Enter your answer in each of the answer boxes.
The Normal model N(150,10) describes the distribution of scores on the LSAT, a standardized test required by most law schools. Which of the following questions asks for a probability, and which asks for a measurement? Identify the type of problem and then answer the given question. a. A law school applicant scored at the 60th percentile on the LSAT. What was the applicant's LSAT score? b. A law school applicant scored 164 on the LSAT. This applicant scored higher than what percentage of LSAT test takers? a. Identify the type of problem. Statement a asks for a What was the applicant's LSAT score? (Round to the nearest integer as needed.) b. Identify the type of problem. Statement b asks for a This applicant scored higher than what percentage of LSAT test takers? |% (Round to the nearest integer as needed.)
a. The mean of this distribution is b. The standard deviation is c. The probability that the the child will be older than 5 years old?
Assume you have a normal distribution representing the likelihood of project completion times. The mean of this distribution is 14, and the standard deviation is 4. The probability of completing the project in 15 or fewer days is: a. 0.59 b. 0.27 c. 0.93 d. 0.75
Suppose that the population of middle-school children has a mean of 350 on a reading test and σ = 50. Assume normality. What is the probability that a mean will be greater than 370 with a sample of 25 students? Leave the probability in decimal form (do not convert to percentage). Round to the nearest ten thousandth. (4 decimal places)
The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of 12 seconds. A. IN EXCEL sketch this exponential distribution, and Standard deviation. B. IN EXCEL What is the probability that the arrival time between vehicles is 12 seconds or less. C. IN EXCEL What is the probability that the arrival time between vehicles is 6 seconds or less.
Private nonprofit four-year colleges charge, on average, $26,375 per year in tuition and fees. The standard deviation is $6,685. Assume the distribution is normal. Let X be the cost for a randomly selected college. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 24,855 per year. c. Find the 80th percentile for this distribution. $ (Round to the nearest dollar.)
Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?
The mean of a normal probability distribution is 120 the standard deviation is 10. About what percent of the observations lie between 110 and 130

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a. The mean of this distribution is b. The standard deviation is c. The probability that the the child will be older than 5 years old?