3. The average number of accidents per day at a major intersection in the city of Pittsburgh is 0.8. Let X be the random variable representing the number of accidents at this intersection on a given day. Calculate the probability that there will be more than 1 accident at this intersection tomorrow.A. 0.6405 B. 0.4493 C. 0.1912 D. 0.3595

Answered: Image /qna-images/answer/238ca2f7-ecde-40ba-8b4f-89fc8df16950.jpg

Answered: 3. The average number of accidents per…

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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Find the probability that the sample mean of Xbar = 20 hours, as observed here, less than or equal 20 hours could arise if the true mean of the lot
* Let X is a Gaussian random variable with zero mean an variance o. Y = X. Find mean of Random Variable Y.
Suppose you roll a 20-sided die 3 times in a row and you record the result as an ordered list of three values from {1, 2, ..., 20}. 1. What is the probability that all three values are 14 or less? Round your answer to 4 decimal places. 2. What is the probability that a maximum value of 14 appears? Round your answer to 4 decimal places.
We know that the wait time for talking to a customer service staff on the phone is modelled after an exponential distribution. If the expected wait time is 10 min, what is the probability that a customer needs to wait over 10 min?
10. The number of students who fail per semester is often modeled as a Poisson random variable. Assume that on the average there are 6 students who fail per sem. d. If exponential distribution can model this system, what is the probability that there will be no failing students right after midterm? Let X denote the time in semesters from the start of the interval until the first failure and that a semester is divided by midterm period.e. Calculate the probability that there will be a failing student within the first semester.f. Calculate the probability that a failing student will be first spotted after midterm up to end of the first semester?
From observations of the weather, it is known that on October 20 the probability of rain is 0.85. A certain forecast method for October 20 is correct 0.9 times if rain is predicted and 0.75 times if no rain is predicted. How much information does a real weather forecast provide 20 th of October?
Dandelions have effects on crop production and lawn growth and are studied. In one region, the mean number of dandelions per square meter was found to be 10.8.Find the probability of no dandelions in an area of 1 m².P(X=0)=P(X=0)= Find the probability of at least one dandelion in an area of 1 m².P(at least one) = Find the probability of at most two dandelions in an area of 1 m².P(X≤2)=P(X≤2)=
The probability that a machine develops a fault within the first 3 years of use is 0.003. If 40 machines are selected at random, the probability that 38 or more will not develop any faults within the first 3 years of use is ....
20. The expected number of success in 200 tosses of a fair coin is A. 100 В. 200 С. 50 D. 120
13. When a fair die is tossed, what is the probability of getting an even number? A. % В. 1/2 C. 1/3 D.2 14. When a fair die is tossed, what is the probability of getting an odd number? A. 1/4 B. 1/2 C. 1/3 D. 2 15. When two dice is tossed, what is the probability of getting a sum of 32 A. 1/10 В. 1/11 С. 1/18 D. 1/21 16. When two dice is tossed, what is the probability of getting a sum of 5? A. 1/4 В. 1/5 C. 1/8 D. 1/9 17. There are 5 green, 3 red, and 2 blue balls inside a jar. What is the probability of getting a blue ball? A. 1/4 B. 1/5 C. 1/8 D. 3/10 18. There are 5 green, 3 red, and 2 blue balls inside a jar. What is the probability of getting a red ball? В. 1/5 A. 1/4 C. 1/8 D. 3/10 19. There are 5 green, 3 red, and 2 blue balls inside a jar. What is the probability of getting a PINK ball? A. O В. 1 С. 1/8 D. 3/10 20. There are 15 green balls inside a jar. What is the probability of getting a green ball? A. O D. 3/10 В. 1 С. 1/8
8. A student says the probability that the daily high temperature is greater than 90° on an August day in Rocky Mount is 1.14. What is wrong with this conclusion?
Let x be a random variable that represents red blood cell count (RBC) in millions of cells per cubic millimeter of whole blood. Then x has a distribution that is approximately normal, For the population of healthy female adults, suppose the mean of the x distribution is about 4.64, Suppose that a female patient has taken six laboratory blod tests over the past several months and that the RBC count data sent to the patient's doctor are as follows. 4.9 4.2 4.5 4.1 4.4 4.3 () Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) C) Do the given data indicate that the pooulation mean RBC count for this patient is lower than 4.647 Use a- 0.05. (a) What is the level of significance? State the nul and alternate hypotheses. O Hn: 4- 4.64; H: 4.64 O Ho: H> 4.64; H:u- 4.64 O Hn: H- 4.64; H: H 4.64 (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The standard normal,…

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