A Tim Horton's has recently opened up in Edmonton. It is observed that, on any given morning, the time ittakes for a car to be served after ordering in the drive-thru follows a normal distribution with μ = 6 minutesand σ = 2.4 minutes.a) What is the probability that it takes less than 5.6 minutes for a randomly selected car to be served afterordering? (Round your answer to four decimal places, if needed.)b) What is the probability that it takes more than 6.9 minutes for a randomly selected car to be served afterordering? (Round your answer to four decimal places, if needed.)Check

Answered: A Tim Horton's has recently opened up…

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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Let X = {Email, In Person, Instant Message, Text Message}; P(Email) = 0.06 P(In Person) = 0.55 P(Instant Message) = 0.24 P(Text Message) = 0.15 Is this model a probability distribution? A. Yes. B. No. C. Maybe.
Part C
Mean St. Dev. Distribution Males 23.5 in. 1.1 in. Normal Females 22.7 in. 1.0 in. Normal Use the data in the table for sitting adult males and females. These data are used often in the design of different seats, including aircraft seats, train seats, theater seats, and classroom seats. Find the probability that a female has a back-to-knee length between 22.0 in and 24.0 in Warning! This question is not multiple choice! You are to fill in the blank with the correct answer. Write your answer in the form 0.1234
Equipment Breakdowns. A factory manager collected data on the number of equipment breakdowns per day. From those data, she derived the probability distribution shown in the following table, where W denotes the number of breakdowns on a given day. w 0 1 2 P(W = w) 0.80 0.15 0.05 a. Determine µW and σW . Round your answer for the standard deviation to three decimal places.b. On average, how many breakdowns occur per day?c. About how many breakdowns are expected during a 1-year period, assuming 250 work days per year?
A professor knows that her statistics students' final exam scores have a mean of 80 and a standard deviation of 12.2. In her class, an "A" is any exam score of 90 or higher. This quarter she has 25 students in her class. What is the probability that 7 students or more will score an "A" on the final exam?Hint: You will need to use your knowledge of normal probability distributions to determine the probability of one individual getting an A and then use your knowledge of binomial distributions to determine the probability of 7 students or more out of 25 students getting an A.prob = ____________Report your final answer accurate to 4 decimal places. Do not round any of the numbers in this calculation until the very end of the problem!
Who derives the equation of the normal probability distribution function? a. Abraham de Moivre b. Karl Friedrich Gauss c. Pierre Simon de Laplace
The following table shows the results of a medical test. Positive Test Result Negative Test Result 95.3 4.6 Total 82.6 % 4.6 Has Disease X % 491 24 % 515 Does Not Have Disease 45 Use the preceding data to estimate each of the following. (Express each response as a percentage rounded to one decimal place.) a. If a person has the disease, what is the probability that person tests positive? This is the sensitivity or true positive rate of a test. 214 259 Total b. If a person has the disease, what is the probability that person tests negative? This is sometimes called the false negative rate. 536 238 774 c. If a person does not have the disease, what is the probability that person tests negative? This is the specificity or true negative rate of a test. d. If a person does not have the disease, what is the probability that person tests positive? This is sometimes called the false positive rate. X %
The figure below represents the data from Table 3.6 in the book. It summarizes the lengths of hospital stays (days) for a sample 25 patients. Duration of hospitalization (days) 6. 1. 01-05 06-10 11-15 16-20 >20 What is the probability that someone stayed in the hospital at most 10 days? None of these choices are correct.
H. R. Pulliam found that the time (in minutes)required by a predator to find a prey is a random variable thatis exponentially distributed, with m = 25. Source: AmericanNaturalist.a. According to this distribution, what is the longest timewithin which the predator will be 90% certain of finding aprey?b. What is the probability that the predator will have to spendmore than 1 hour looking for a prey?
What type of distribution does Y follow? A. Exponential B. Poisson C. Uniform D. Binomial E. Bernoulli
The table below shows the probability distribution of the random variable X. a. Find the mean of the random variable. b. Obtain the standard deviation o of the random variable. 1 P(X =x) 0.4 0.1 0.5 a. Find the mean of the random variable. (Round to two decimal places as needed.) b. Obtain the standard deviation o of the random variable. O = (Round to two decimal places as needed.) Enter your answer in each of the answer boxes. ? Le
..... Sketch the graph of the normal distribution with the indicated probability shaded. O A. B. Oc. OD. u=27 A=27 The normal distribution cannot be used 27 to approximate the binomial distribution. 10 33 44 ent (b) Find the probability that the number of people who say auto racing is their favorite sport is more than 37. asou (Round to four decimal places as needed.) ccess Sketch the graph of the normal distribution with the indicated probability shaded,

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