Consider a Poisson distribution with a mean of three occurrences per time period.(a) Write the appropriate Poisson probability function.f(x) =(b) What is the expected number of occurrences in four time periods?(c) Write the appropriate Poisson probability function to determine the probability of x occurrences in four time periods.f(x) =(d) Compute the probability of three occurrences in one time period. (Round your answer to four decimal places.)(e) Compute the probability of twelve occurrences in four time periods. (Round your answer to four decimal places.)(f) Compute the probability of ten occurrences in three time periods. (Round your answer to four decimal places.)

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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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(1 point) Suppose that 43% of households in a city have children. You take a random sample of 20 households from the city. Let x represent the number of households in your sample that have children. Find the following probabilities. (a) P(x = 4 or 12) (b) P(x 7) = (d) P(x 10) = = =
Check in each case whether the normal approxima-tion to the binomial distribution may be used according to the rule of thumb in Section 6.(a) n = 16 and θ = 0.20;(b) n = 65 and θ = 0.10;(c) n = 120 and θ = 0.98.
If the number of random sleigh sightings x follows a Poisson distribution with a mean = 1.7, then find the probability of x sightings. Find P(x = 4).(Round to four decimal places.)P(x = 4) =
P(x) Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the X-linked genetic disorder. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. 0.025 1 0.164 0.311 3 0.311 0.164 0.025 4 Does the table show a probability distribution? Select all that apply. OA. Yes, the table shows a probability distribution. B. No, the sum of all the probabilities is not equal to 1. | C. No, the random variable x's number values are not associated with probabilities. D. No, the random variable x is categorical instead of numerical. E. No, not every probability is between 0 and 1 inclusive. Find the mean of the random variable x. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. µ= child(ren)…
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Yhmeer is watching a shower of meteors (shooting stars). During the shower, he sees meteors at an average rate of 1.3 per minute. (a) State the conditions required for a Poisson distribution to be a suitable model for the number of meteors which Yhmeer sees during a randomly selected minute (b) Using Excel or otherwise, determine the probability that, during one minute, Yhmeer sees (i) exactly one meteor (ii) at least 4 meteors
Find the probability P(Ec) if P(E)=0.17.
(a) Sketch the probability mass function of X . (b) Find the mean and standard deviation of the number of pots of olives sold daily. (c) If the profit obtained from selling a pot of olives is 50p, what is the expected profit made on a single day? During a working week of 6 days?
A fire-detection device utilizes three temperature-sensitive cells acting independently of each other in such a manner that any one or more may activate the alarm. Each cell possesses a probability of p = 0.86 of activating the alarm when the temperature reaches 100° Celsius or more. Let Y equal the number of cells activating the alarm when the temperature reaches 100°. (Round your answers to four decimal places.) (a) Find the probability distribution for Y. P(Y = 0) = P(Y = 1) = P(Y = 2) = P(Y = 3) = (b) Find the probability that the alarm will function when the temperature reaches 100°.
What do i specifically put in the box as p(x)=

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