2. The number of patients visiting an emergency room during thegraveyard shift (11:00pm-7:00pm), denoted by the random variable X, has thefollowing probability distribution:12345P(X=x).05.20.25.20.10.15.05a. Find the probability there will be 3 or more emergency room patients during arandomly selected 8-hour graveyard shift.b. Find the probability there will be an even number of patients.c. Find the probability there will be at least 2 but not more than 5 patients.d. Find the probability there will be less than 2 patients.e. How do you suppose the probability distribution above was obtained?

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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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According to a poll of adults, about 43% work during their summer vacation. Assume that the true proportion of all adults that work during summer vacation is p=0.43. Now consider a random sample of 400 adults. Complete parts a and b below. IN a. What is the probability that between 36% and 50% of the sampled adults work during summer vacation? The probability is. (Round to three decimal places as needed.) b. What is the probability that over 55% of the sampled adults work during summer vacation? The probability is (Round to three decimal places as needed.) 4
Following is the probability distribution of a random variable that represents the number of extracurricular activities a college freshman participates in.
ll 36 l 12% 7 15:04 4G .. Question One: (a) If 4 balanced coins are tossed simultaneously (or 1 balanced coin is tossed 4 times), compute the entire probability distribution and plot it. (b) Compute and plot the probability distribution for a sample of 5 items taken at random from a production process known to produce 30% defective items.
4.56 Nonstandard dice. Nonstandard dice can produce interesting distributions of outcomes. You have two balanced, six-sided dice. One is a standard die, with faces having one, two, three, four, five, and six spots. The other die has three faces with one spot and three faces with six spots. Find the probability distribution for the total number of spots Y on the up-faces when you roll these two dice.
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High school students in Michigan sometimes get "snow days" in the winter when the roads are so bad that school is canceled for the day. Define the random variableX = the number of snow days at a certain high school in Michigan for a randomly selected school year. Suppose the table below gives the probability distribution of X. 1. Value x, 1. 3 4 5 6 7 8 9 10 Probability p, ? 0.19 0.14 0.10 0.07 0.05 0.04 0.04 0.02 0.01 0.01 (a) Write the event “the school year has O snow days" in terms of X. Then find its probability. (b) At this high school, if more than 5 snow days are used over the course of the year, students are required to make up the time at the end of the school year. What's the probability that a randomly selected school year will require make-up days?
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