QUESTION 1Psychiatrists have determined that the length of eye contact made by a typical person during a 5 minute period is normally distributed with a mean of 182.0 seconds and a standard deviation of 55.3seconds. Find each probability below.Round all answers to four decimal places.What is the probability that a randomly selected person maintains eye contact for less than 150 seconds during a 5 minute period?What is the probability that a randomly selected person maintains eye contact for more than 200 seconds during a 5 minute period?What is the probability that a randomly selected person maintains eye contact for between 180 and 210 seconds during a 5 minute period?

Answered: Image /qna-images/answer/20cdfe88-b726-4c2d-9a68-91b0eb78174d.jpg

Answered: Psychiatrists have determined that the…

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 physical fitness association is including the mile run in its secondary-school fitness test. The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 450 seconds and a standard deviation of 40 seconds. Find the probability that a boy takes between 380 and 425 seconds.
The United States Coast Guard assumes the mean weight of passengers in commercial boats is 185 pounds with a standard deviation of 26.7 pounds. Assume the passenger weights are normally distributed. What is the probability that a randomly selected passenger weighs less than 185 pounds? (Round your answer to three decimal places.)
Brenda has collected data to find that the finishing times for cyclists in a race has a normal distribution. What is the probability that a randomly selected race participant had a finishing time of greater than 154 minutes if the mean is 143 minutes and the standard deviation is 11 minutes? Use the empirical rule.Provide the final answer as a percent.
Solve the problem.Assume that mountain lions' weights are normally distributed with a mean of 62.6 kilograms and a standard deviation of 2.6 kilograms. If 70 mountain lions are randomly selected, find the probability that they have a mean weight between 61.9 kilograms and 62.8 pounds.
A door-to-door salesperson is visiting houses in Hamilton to sell internet plans. The probability that a house decides to buy the internet plan is 25%. The salesperson visits 100 houses. Using normal approximation, determine the mean, standard deviation, and probability that less than 30 houses buy the internet plan.
In a dorm, the weights of the students are normally distributed with mean 175 lbs and standard deviation 16 pounds. What is the probability that a person weighs at least 200 lbs? (round to the nearest thousandth)
Almost all medical schools require applicants to take the Medical College Admission Test (MCAT). Scores on the MCAT are approximately Normal with a mean of 25 and a standard deviation of 6.5. If the School of Health Sciences interviews one WSSU student about their score on the MCAT. What is the probability that their score be between 21 and 30?
A certain brand of car tends to break down on average after 115,000miles with a standard deviation of 4800 miles. If 36 cars of this brand are sampled,find the probability that their average breakdown mileage is less than 113,500miles. a. 0.0301 b. 0.3783 c. 0.6217 d. 0.9699
Assume that the traffic to the web site of Smiley’s People, Inc., which sells customized T-shirts, follows a normal distribution, with a mean of 4.6 million visitors per day and a standard deviation of 880,000 visitors per day. What is the probability that the web site has between 3 million and 4 million visitors in a single day? If needed, round your answer to four decimal digits.
Assume that an individual's golf scores are normally distributed with a mean of 90.4 and a standard deviation of 5.3. Calculate the probability that the golfer will shoot lower than a 76 during his next round. Select one: a. 0.0051 O b. 0.065 O c. 0.012 O d. 0.0033
A fair coin is flipped 100 times . Find the mean and standard deviation for the number of tails for this distribution.
A study found that student weights averaged 87.3lb with a SD = 4lb. What is the 2-decimal % probability that an individual student will weight below 85 lb? What is the 2-decimal % probability that a group of 35 students will have a mean weight of over 88 lb?

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