4 Define the random variable, its distribution, and compute for the variable/measure that is being asked. You can follow the example below Ex. A large number of insects are expected to be attracted to a certain varietyof rose plant. A commercial insecticide is advertised as being 99% effective.Suppose 200 insects infest a rose garden where the insecticide has beenapplied. What is the probability that none of these insects can survive?Random variable: X – number of dead insectsDistribution: X-Bin(200,0.99)Computation: P[X = 200] = (200) + 0.99200 * 0.01° = 0.1340 According to the theory of genetics, a certain cross of guinea pigs will result inred, black, and white offspring in the ratio 8:4:4. Find the probability that among8 such offspring 5 will be red, 2 black, and 1 white.

Given There are 3 offspring; red, black and white in the ratio 8:4:4

Answered: 4 Define the random variable, its…

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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Austin decided to give Taylor Swift another chance. So, he listened through all her songs from 2009. There were 8 in total. Let the random variable X be the number of songs in which she complained about some boy. The probability of complaining about a boy is 56%. (a) Is X a discrete or continuous random variable? How do you know? (b) What are the possible values of X? (c) Does X follow a distribution that we covered in class? If so, how do we know? Properly label the distribution.
2. In a population it is estimated that 20% have a desired trait of interest for the researcher. The researcher wants to know how many people on average he has to draw from a population to get 2 people with the trait. Use rows 20-24 of the Random Number Table to carry out the simulation. Explain clearly how you set up the problem and report your findings. Answer:
You currently work for the DARPA, the Defense Advanced Research Projects Agency. You've received reports of some strange things occurring in the small town of Hawkins, Indiana. Let U be a random variable equal to 1 if the citizen has been to the Upside Down and 0 otherwise. Let S be a random variable equal to 1 if a citizen reports being in the presence of a group of misfit kids who claim to be "saving the town" and 0 otherwise The table below shows the joint probability density function for the galactic population Share of Population 0.15 0.32 0.50 0.03 U 0 0 1 1 S 1 0 1 0 Round to 2 decimal places where necessary, unless otherwise stated. Leave your answer in decimals, rather than convert to percentages. A. Evaluate Fu,s (1,0): B. Calculate the share of people who have been to the Upside Down in the population. That is, E(U): C. Calculate the probability of having gone to the Upside Down conditional on meeting this band of misfit kids?. That is, Fus (11):
2 Define the random variable, its type of distribution, and compute for the variable/measure that is being asked. You can follow the example below
What could be the possible values of the random variable below? Number of blood donors in a donation drive x20 x = 1,2, 3,... 05xS 1000 O Not a random variable x 0,1,2, 3,...
3
Help: Derive the CDF of a Geometric Random Variable
II. Supply the table with the corresponding random variable and/or the possible values of the random variable for each experiment. Possible values (x) for the Experiment Random Variable (X) Random Variable Number of customers who 1. Contacting 10 customers 0, 1, 2, 3, 4,5 placed a complaint 2. Inspection of shipment of 100 laptops 3. Filling a bottle of water (maximum of 500 mL) 0, 1,2, .,99, 100 0sxs 500 The temperature when the desired reaction takes place (minimum of 40°C; maximum of 90* C) 4. Testing of new chemical process 5. Selling an automobile O if male; 1 if female
PLEASE ANSWER ASAP! PROBABILITY (UPVOTE WILL BE GIVEN PLEASE WRITE THE CORRECT ANSWER LEGIBLY. NO LONG EXPLANATION NEEDED.
Very importante: perfom in excel (show pictures) (and show the formulas) the exercise is in the images as well -------------------- The data shown in Table 6E.2 are x and R values for 24 samples of size n = 5 taken from a process producing bearings. The measurements are made on the inside diameter of the bearing, with only the last threedecimals recorded (i.e., 34.5 should be 0.50345). (a) Set up x and R charts on this process. Does the process seem to be in statistical control? If necessary, revise the trial control limits (b) If specifications on this diameter are 0.5030 ± 0.0010, find the percentage of nonconforming bearings produced by this process. Assume that diameter is normally distributed
What are the differences between the two types of random variables in statistics? B i U Font Family AAA = in O 0

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