Please help me interpret this data X.P(x)x* P(x)0.08-1.41.%0.160.550.55-0.40.160.0920.260.520.G0.360.0930.110.331.62.560.280-JE(x- * P(x) = J0.62-0.874 +0.70Bntumpratation:of te probability detribution ie 14. Thi mplio that Re auerag maumban of aportenelated activitia Pat my daromatie are murdved in ie 1.4.The meam1. duney:Hudhinta who have me aporta - 3udinta uho have 1 aporta - 21tudenta toho have 2sperta - 10Atudenta who have Bjponta - 4Ps The atudenta uf1.Tofal of 38P(x)x* P(x)0 0.0810.55 0.55

Let X denote the number of students who have actively participated in sports The given probability…

Answered: P(x) x* P(x) (x-1)² *P(x) 0.08 -1.4 1.%…

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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The distributor of a machine for cytogenics has developed a new model. The company estimates that when it is introduced into the market, it will be very successful with a probability 0.6, moderately successful with a probability 0.3, and not successful with probability 0.1. The estimated yearly profit associated with the model being very successful is $15 million and being moderately successful is $5 million; not successful would result in a loss of $500,000. Let X be the yearly profit of the new model. Determine the probability mass function of X. Give (given, required, solution)
Ignaz Semmelweiss (1818-1865) was the doctor who first encouraged other doctors to wash their hands with disinfectant before touching patients. Before the new procedure was established, the rate of infection at Dr. Semmelweiss' hospital was about 10%. Afterward the rate dropped to about 1%. Assuming the population proportion of infections was 10%, find the probability that the sample proportion will be 1% or less, assuming a sample size of 200. Start by checking the conditions required for the Central Limit Theorem to apply.
A radioactive mass emits particles according to a Poisson process. The probability that no particles will be emitted in a two-second period is 0.5. What is the probability that no particles are emitted in a four-second period?
2a) The number of flowers per square meter in Sarah’s garden has a Poisson distribution with mean 0.35. Her garden is covered with 150 square meters of grass. Find lambda λ? 2b) The number of flowers per square meter in Sarah’s garden has a Poisson distribution with mean 0.35. Her garden is covered with 150 square meters of grass. Using Normal approximation, we will need to find the probability that the Sarah’s garden will contain less than 45 flowers. First graph and answer what is the continuity correction? 2c) Using the previous results for lambda and continuity correction, find z, then graph and use your table to find φ table value of z Write down your final answer for the probability that Sarah’s garden will contain less than 45 flowers as a decimal number with 4 decimal places.
Suppose that X has a continuous uniform distribution between 0 and 20. What is the probability that x is between 0 and 5?
Assume that a population of patients contains 30% of individuals who suffer from a certain fatal syndrome Z, which simultaneously makes it uncomfortable for them to take a life-prolonging drug X. Let Z = 1 and Z = 0 represent, respectively, the presence and absence of the syndrome, Y = 1 and Y = 0 represent death and survival, respectively, and X = 1 and X = 0 represent taking and not taking the drug. Assume that patients not carrying the syndrome, Z = 0, die with probability 0.5 if they take the drug and with probability 0.5 if they do not. Patients carrying the syndrome, Z = 1, on the other hand, die with probability 0.7 if they do not take the drug and with probability 0.3 if they do take the drug. Further, patients having the syndrome are more likely to avoid the drug, with probabilities p(X = 1|Z=0) = 0.9 and P(X = 1|Z = 1) = 0.6 . Based on this model, compute the joint distributions and for all values of x, y, and z. Present the following joint distributions in tables. [Hint:…
An insurance company has a portfolio of 10,000 policies. Based on past data, the company estimates that the probability of a claim on any one policy in a year is 0.003. It assumes no policy will generate more than one claim in a year.(i) Determine the approximate probability of more than 40 claims from the portfolio of 10,000 policies in a year. (4)(ii) Determine an approximate equal-tailed interval into which the number of claims per year will fall with probability 0.95. (2)(iii) In practice, 42 claims were received in a particular year. A Director of the company complains about the range of estimates in part (ii) being wrong.Comment on the Director’s complaint.
If the number X of particles emitted during a 1-hour period from a radioactive source has a poisson distribution with parameter equal to 4 and that the probability that any emitted is recorded is p=0.9 find the probability distribution of the number Y of the particles recorded in a 1-hour and hence the probability that no particle is recorded
The number of x people entering the intensive care unit (ICU) at a particular hospital on any givenday has a Poisson probability distribution with mean equal to five persons per day. What is the probabilitythat the number of people entering the ICU on particular fay is less than equal to two?
Workers at a large toxic cleanup project are concerned that their white blood cell counts may have been reduced. Let x be a random variable that represents white blood cell count per cubic millimeter of whole blood in a healthy adult. Then μ = 7500 andσ ≈ 1750.† A random sample ofn = 70 workersfrom the toxic cleanup site were given a blood test that showedx = 6920.What is the probability that, for healthy adults,xwill be this low or lower?(a) How does the central limit theorem apply? Explain. The central limit theorem describes the distribution of x as normal with mean μ x = 7500 and σ x≈1750.0.The central limit theorem describes the distribution of x as normal with mean μ x = 7500 and σ x≈209.2. The central limit theorem does not apply because the sample size is too small.The central limit theorem describes the distribution of x as normal with mean μ x = 7500 and σ x≈25.0. (b) ComputeP(x ≤ 6920).(Round your answer to four decimal places.) P(x ≤ 6920)= (c) Based on your answer to…
Aninsurance company has a portfolio of 10,000 policies. Based on past data the company estimates that the probability of a claim on any one policy in a year is 0.003. It assumes no policy will generate more than one claim in a year. (a) Determine the approximate probability of more than 40 claims from the portfolio of 10,000 policies in a year. (b) Determine an approximate equal-tailed interval into which the number of claims per year will fall with probability 0.95.
We assume that the car accident of a certain driver happen according to a Poisson N(t) of intensity lambda=0.01 per month. Compute the following (a) The probability that the driver has no accident during the first year (b) The probability of exactly one accident during his third year of driving. (c) the probability of at least two accidents before the end of the second year given that there was exactly one accident during the first year.

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