6. The probability that a truck will be going over the speed limit on 1-80 between Cheyenne and Rock Springs is.75. Suppose that a random sample of 5 trucks is observed on this stretch of 1- 80.a. Find the mean of this probability distribution.b. Find the standard deviation of this probability distribution.c. What is the probability that exactly 3 of the 5 trucks are going over the speed limit?d. What is the probability that 2 or 3 of them are going over the speed limit?(bebail (ssvig stasqdioot abheq2 trigue(d7. In Manoa Valley on the island of Oahu the annual rainfall averages 43.6 inches with standard deviation 7.5inches.Normally Distributeda. For a given year, make a sketch and find the probability that the annual rainfall will be more than53 inches.b. Find the probability that the average rainfall over the past 5 years is more than 53 inches.CICLA

Answered: Image /qna-images/answer/9fb55190-7653-4710-be60-594af424b3fe.jpg

Answered: 6. The probability that a truck will be…

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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83. The maternity ward at Dr. Jose Fabella Memorial Hospital in Manila in the Philippines is one of the busiest in the world with an average of 60 births per day. Let X = the number of births in an hour. a. Find the mean and standard deviation of X. b. Sketch a graph of the probability distribution of X. c. What is the probability that the maternity ward will deliver three babies in one hour? d. What is the probability that the maternity ward will deliver at most three babies in one hour? e. What is the probability that the maternity ward will deliver more than five babies in one hour?
1. An unknown distribution has a mean of 35 and a standard deviation of 6. Samples of size n = 40 are drawn randomly from the population. a. State the distribution: b. Find the probability that the sample mean is between 33.5 and 35.5 (label and shade the diagram)
• A) Given the data Pulse Rate (beats per minute) Mean St. Dev. Distribution Males 69.6 11.3 Normal Females 74.0 12.5 Normal a. Find the probability that a female has a pulse rate less than 60 beats per minute. b. Find the probability that a male has a pulse rate grater than 80 beats per minute. c. Find the probability that a m ale has a pulse rate between 65 beats per minute and 85 beats per minute. • B) Snow White. Disney World required that women employed as a Snow White character must have a height between 64 in and 67 in o Find the percentage of women meeting the height requirement o If the height requirements are changed to exclude the shortest 40% of women and the tallest 5% of women, what are the new height requirements?
If the prevalence of a certain condition in the population is 0.4. What is the probability that exactly one person out of a sample of ten has the condition? Write as a proportion rounded to two places.
2.Suppose that 60% of middle school students in San Diego wear braces. A random sample of 250 San Diego middle school students is selected. a.What is the mean and standard deviation of the 250 samples students that will have braces? b.What is the probability that at most 190 students in the sample wear braces?
4.c
3) Below is the distribution of 80 graduates with their degree type and average grade. Find the probability that a randomly selected graduate has a B.S. degree, given that the graduate has a B average. ((please check images for accuracy, thank you!!!))
1. Suppose 1495 Valencia College students were selected at random from the entire student body and given an experimental H1N1 flu shot. All 1495 were exposed to the flu, but only 332 of them actually ended up sick with the flu. Let p represent the probability that the flu shot will be successful. (Read this carefully!) A. Find the point estimate for the population proportion from this study. Show your simplified fraction for the point estimate. Use proper notation. B. Build a 98% confidence interval for the real population proportion by hand using the formula. Draw a picture that represents the problem and clearly indicate your final answer C. Use a complete sentence or two to interpret your confidence interval.
9.) The mean starting salary for teachers is $53,475 nationally. The standard deviation is approximately $5,250. Assume that the starting salary is normally distributed. a.) State the random variable. b.) Find the probability that a starting teacher will make more than $60,000. c.) Find the probability that a starting teacher will make less than $50,000. d.) Find the probability that a starting teacher will make between $52,000 and $59,500. e.) If a teacher made more than $61,000, would you think the teacher was overpaid? Why or why not?
10.2.% of the population is 65 or older . Find the probability that the following number of persons selected at random from 50 people are 65or older . The probability that at most 2 are 65 or older is ?
Help.explain.
3.4.5 5. Suppose the length of time of a whale's song is normally distributed with mean 12.5 minutes and standard deviation 2.6 minutes. a. Find the probability that a whale's song will last more than ten minutes. b. Find the probability that a whale's song will last between eight and sixteen minutes. c. Find the probability that a whale's song lasts less than five minutes or longer than twenty minutes. d. Find the length of time such that only 5% of whale's songs last longer than that length of time. e. Find the length of time such that only 10% of whale's songs are shorter than that length of time.

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