The random-number generator on calculators randomly generates a number between 0 and 1. The random variable X, the number generated, follows a uniformprobability distribution.(a) Identify the graph of the uniform density function.(b) What is the probability of generating a number between 0.37 and 0.69?(c) What is the probability of generating a number greater than 0.83?...OA.В.OC.Density1.2-A Density1.2-ADensity1.2-1-1.1-0.8-0.8-0.6-0.4-0.2-0+0.8-0.6-0.6-0.4-0.2-040 0.2 0.4 0.6 0.8 10.4-0.2-X0-0.2 0.4 0.6 0.8 11.21.20.2 0.4 0.6 0.811.2(b) The probability is(Simplify your answer.)(c) The probability is(Simplify your answer.)B.

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Answered: The random-number generator on…

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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As an added incentive for students to do homework for their probability course, the professor randomly picks two students at each class meeting. These two students are asked to explain a homework problem. On a particular day, five students from the class of 20 students have not done the homework. Let the random variable X be the number of students picked who have not done the homework. What is the probability mass function of X?
(b) Among fatal crashes when it is dawn/dusk, what is the probability that a randomly selected fatal crash occurs in unknown weather conditions? The probability that a randomly selected fatal crash when it is dawn/dusk occurs in unknown weather conditions is approximately. (Round to three decimal places as needed.) Data table Weather Normal Rain Snow/Sleet Other Unknown Daylight Dark, but Lighted 5875 14,307 875 219 125 810 497 51 54 255 Light Conditions Dark Print 8151 681 156 220 548 Dawn/Dusk Other Done 1183 87 17 40 71 65 8 2 9 133 0 - X
The table shows relative frequencies for red-green color blindness in one doctor's practice. M represents 'person is male' and C represents 'person is color-blind'. Use this table to find the following probability. P(M'IC)= (Round to three decimal places, if necessary.) M M' Totals с 0.047 0.005 0.052 C' 0.506 0.442 0.948 Totals 0.553 0.447 1.000
A manufacturer guarantees a product for 1 year. The lifespan of the product after it is sold is given by the probability density function below, where t is time in months. ( See attachment) What is the probability that a buyer chosen at random will have a product failure A) During the warranty? B) During the second year after purchase?
On a popular app, users rate hair salons as 1, 2, 3, 4, or 5 stars. Suppose a rating is randomly selected from all the ratings on the app. Let X be the number of stars of the selected rating. Here is the probability distribution of X. ck fn Value x of X esc sign. Check P(X=x) 0.25 0.19 0.09 0.21 0.26 For parts (a) and (b) below, find the probability that the randomly selected hair salon rating has the described number of stars. (a) 3 or more: (b) Fewer than 4:0 Ⓡ ntertained Type here to search. ! 7 ? Q A 1 H hp @ Z 2 3 2 W S # 3 x S alt 4 E D $ 4 5 C O B R % LI F 5 X V to 49 T G 6 5 & Y B 99+ 7 H a hp 4+ N 8 Save For Later © 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use Bigh Center & 100 S 19 144 9 M 105 1 > 4 O 1 1 UDOL JKLE 5- tva P { alt + C ? = 7 insert Submit Assignment * } 1 Am QU ortsc E ← pause ▸ ctri 9 9:19 PM 2/21/2023 backspace USE YOUR SMARTPHONE FOR Reviews Videos Feature Specs Support SCA
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l Globe 8:46 AM 92% A docs.google.com 2.b.The IQ scores of children in a special education class are normally distributed with µ = 95 and o = 10. What is the probability that a child has an IQ score above 120? * 0.9938 0.6200 0.9940 0.0062 This is a required question 2.c.The IQ scores of children in a special education class are normally distributed with µ = 95 and o = 10. What is the chances that a child has an IQ score of 90? * 0.3085 0.6915 1.00 0.3080
The random variable x is the number of occurrences of an event over an interval of 10 minutes. It can be assumed the probability of an occurrence is the same in any two time periods of an equal length. It is known that the mean number of occurrences in 10 minutes is 5.3.The appropriate probability distribution for the random variable is _____. a. continuous b. discrete c. either discrete or continuous, depending on how the interval is defined d. Not enough information is given to answer this question.
The Denver Post reported that, on average, a large shopping center had an incident of shoplifting caught by security 2.1 times every two hours. The shopping center is open from 10 A.M. to 9 P.M. (11 hours). Let r be the number of shoplifting incidents caught by security in an 11-hour period during which the center is open. What is λ? (Use 2 decimal places.)(b) What is the probability that from 10 A.M. to 9 P.M. there will be at least one shoplifting incident caught by security? (Use 4 decimal places.)(c) What is the probability that from 10 A.M. to 9 P.M. there will be at least three shoplifting incidents caught by security? (Use 4 decimal places.)
Let X be a random variable whose probability density function is plotted below. If one was to generate X by passing a uniform (0, 1) random variable through a function, then what function would you use? (your answer should be a function of x). 0.9- 0.8- 0.7- 0.6- 0.5 qula Snip 0.4 0.3- 0.2- 0.1 -2 -1.8 -1.6 -1.4 -1.2 -1 -0.8 -0.6 -0.4 -0.2 0
Use Bayes' theorem or a tree diagram to calculate the indicated probability. Round your answer to four decimal places. P(A | B) = 0.2, P(B) = 0.9, P(A | B') = 0.1. Find P(B | A). %3D Р(В | А)
The random variable x is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the probability of an occurrence is the same in any two-time periods of an equal length. It is known that the mean number of occurrences in ten minutes is 5.3. Which of the following discrete probability distributions' properties are satisfied by random variable x? a. Normal b. Poisson c. Binomial d. Hypergeometric

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