Answer the following:1. The number of patients seen in the ER in any given hour is a random variable representedby x. The probability distribution for x is:1011121314P(x).4.2.2.1.1Find the probability that in a given hour:a. exactly 10 patients arriveb. exactly 15 patients arrive2. Six balls numbered 1, 2, 3, 5, 8, and 13 are placed in a box. A ball is selected at random,and its number is recorded and then it is replaced. Find the expected value of the numbersthat will occur.

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Answered: Answer the following: 1. The number of…

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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Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).t Suppose that in a remote part of the Grand Canyon, a random sample of six of these birds was caught, weighed, and released. The weights (in grams) were as follows. 4.8 3.1 The sample mean is x = 3.75 grams. Let x be a random variable representing weights 3.7 2.9 3.8 4.2 hummingbirds in this part of the Grand Canyon. We assume that x has a normal distribution and o = 0.82 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is u = 4.65 grams. Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less than 4.65 grams? Use a = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? O Ho: H = 4.65 g; H: H+ 4.65 g; two-tailed O Ho: H = 4.65 g; H: H 4.65 g; right-tailed (b) What sampling distribution will you use? Explain the rationale for your…
Which are continuous random variables? 1. number of calories a dog consumes in a day. 2. Time it takes for someone to tie their shoe. 3. distance a person has walked in a day. 4. Number of steps a person has walked in a day.
1. Find -t0.15 when v = 10 2. The length of time patients must wait to see a doctor at an emergency room in a large hospital has a uniform distribution between 30 minutes and 3 hours. What is the probability that a patient would have to wait more than one hour to see a doctor? 3. An interview with 20 people revealed that 8 of the 10 women and 5 of the 10 men preferred drinking coffee to tea. What is the probability that if one person is selected from the group of 20 people, it is either a man or someone who preferred to drink coffee than tea?
Let the random variable X be equally likely to assume any of the values 1/15, 2/15, or 1/5. Determine the mean of X. O A. 0.067 B. 0.133 O C. 0.2 D. 0.4
Suppose that the random variable a, shown below, represents the number times . P(r) represents the probability of a randomly selected person having received that number of speeding tickets during that period. Use the probability distribution table shown below to answer the following questions. 0 P(z) 0.2716 1 0.271 0.2291 3 0.1655 0.0467 0.0161 6+ 0.0000 a) What is the probability that a randomly selected person has received one tickets in a three-year period? P(x = 1) = b) What is the probability that a randomly selected person has received three tickets in a three-year period? P(x = 3) = c) What is the probability that that a randomly selected person has received more than two tickets in a three-year period? P(x > 2) =| d) What is the probability that that a randomly selected person has received zero or less tickets in a three- year period? P(z < 0)
According to a health publication, 15.8% of persons under the age of 65 have no health insurance coverage. Suppose that four persons under the age of 65 are randomly selected. a. Determine the probability distribution for the number, X, who have no health insurance coverage. b. Determine and interpret the mean of X. a. Complete the table below to determine the probability distribution of X. x P(X=x) 0 1 2 3 4
The random variable X can take on the values 2, 4 and 6, and the random variable Y can take onthe values 2, 6 and 10. Their joint probability distribution is given by the following table:Y2 6 10X2 0.10 0.05 0.104 0.10 0.15 0.256 0.10 0.10 0.05a. Describe in words and notation the event that has probability 0.25 in the table.b. Calculate the marginal distribution of X.c. Calculate ?ሺ? ൒ 4ሻ.d. Calculate the population mean of X.e. Calculate the conditional distribution of Y given X=2.f. Calculate E(Y|X=2).
Let X be a random variable giving the number of aces in a random draw of 4 cards from an ordinary deck of 52 cards. construct a table showing the probability distribution of X. Answer: for x = 0...4, f(x) = {194,580; 69,184; 6,768; 192; 1) with each item /270,725.
Determine whether the following value is a continuous random variable, discrete random variable, or not a random variable. a. The time required to upload a file to the Internet b. The last book a person in City A read c. The number of light bulbs that burn out in the next year in a room with 15 bulbs d. The number of home runs in a baseball game N e. The number of people with blood type B in a random sample of 26 people f. The time it takes to drive from City A to City B 3: F2 a. Is the time required to upload a file to the Internet a discrete random variable, continuous random variable, or not a random variable? OA. It is a continuous random variable. OB. It is a discrete random variable. OC. It is not a random variable. b. Is the last book a person in City A read a discrete random variable, continuous random variable, or not a random variable? OA. It is a discrete random variable. OB. It is a continuous random variable. OC. It is not a random variable. c. Is the number of light bulbs…
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Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).t Suppose that in a remote part of the Grand Canyon, a random sample of six of these birds was caught, weighed, and released. The weights (in grams) were as follows. 3.7 2.9 3.8 4.2 4.8 3.1 The sample mean is x = 3.75 grams. Let x be a random variable representing weights of hummingbirds in this part of the Grand Canyon. We assume that x has a normal distribution and a- 0.90 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is u= 4.70 grams. Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less than 4.70 grams? Use a- 0.05. (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? Ho: H 4.7 g; right-tailed Ho: H= 4.7 g; H: < 4.7 g; left-tailed Ho: H- 4.7 g; H: 4.7 g; two-tailed (b) What sampling distribution will you use? Explain the rationale…
The annual rainfall (in inches) in a certain region is normally distributed with u = 24 and o O A. 0.117 4.2. What is the probability that the rainfall exceeds 29 inches in a given year? O B. 0.025 O C. 0.063 D. 0.125

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