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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Suppose x is a random variable best described by a uniform probability distribution with c=0 and d=6. Find the value of a that makes the following probability statement true: P(xza) = 0.4 1.6 4 3.6 4.4
Given the following probability distribution for the number of semesters of Math a (non-Math major) college student will take as they earn their degree: x:number of semesters of Math 1 2 3 4 P(x) 0.25 0.45 0.20 0.10 What is the probability that a randomly selected (non-Math major) college student will have taken exactly 3 semesters of Math? Show how you calculated your result here (type in what you typed on your calculator or computer, etc) Calculation: __________ Now type in your final simplified or rounded answer, if necessary round your answer to four decimal places. P(exactly 3 semesters of Math) = _____________
A. Construct the probability distribution for the random variables described in each of the following situations. Draw the corresponding histogram for each probability distribution.1. Random variable X which is equal or corresponds to 52. Random variable Y, which is equal or corresponds to 8
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…
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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 o = 0.96 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is µ = 4.80 grams. Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less than 4.80 grams? Use a = 0.10. (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 4.8 g; right-tailed O Ho: H = 4.8 g; H1: µ < 4.8 g; left-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of…
b. If 26 different women are randomly selected, find the probability that their mean weight is between150 lb and 221 lb.The probability is approximately enter your response here. (Round to four decimal places as needed.)
D. Construct the probability distribution for each discrete random variable. 1. Let W be the square of the number when a fair die is rolled. 2. Let X be the number of girls in a family with 3 children. 3. Let Y be the product of two numbers taken separately from two boxes containing numbers 1, 2, 3, and 4. 4. Let B be the number of boys in a committee of 4 taken from 3 boys and 4 girls. 5. Let S be the sum of three numbers taken from 3 jars containing 1, 2, and 3.
In a population of students, the number of calculators a student owns is a random variable X described by the following probability distribution: P(X) 0.2 0.6 0.2
B. A discrete random variable X has the following probability distribution: 1. 3 4. 1 2 P(X) y 6. 9. 9. 1. Find y. 2. Construct a probability histogram to describe P(X).
Determine whether the following value is a continuous random variable, discrete random variable, or not a random variable. a. The number of home runs in a baseball game b. The last book a person in City A read c. The number of textbook authors now eating a meal d. The time it takes for a light bulb to burn out e. The square footage of a pool
Answer number 3

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