NBC News reported on May 2, 2013, that 11 % children in the United States have a food allergy of some sort. Consider selecting a random sample of 15 children and let X be the number in the sample who have a food allergy. (places.)USE SALTI. Selection the best answer for the following questions:(a) What is the probability distribution of X?Poisson with Poi(15)Normal with N(15, 0.11)Binomial with Bin(15, 0.11)Exponential with Exp(15)(b) What are the possible values for X?0,1 to 141, 2 to 160, 1 to 151, 2 to 15II. Calculate the probabilities:(a) What is the probability that at most 3 children have a food allergy? (Round your probabilities to three decimal places.)884(b) What is the probability that less than 3 children have a food allergy? (Round your probabilities to three decimal places.)(c) What is the probability that exactly 3 children have a food allergy? (Round your probabilities to three decimal places.)247x(d) What is the probability that at least 4 children have a food allergy? (Round your probabilities to three decimal places.)(e) What is the probability that between 1 and 3, inclusive, children have a food allergy? (Round your probabilities to three decimal places.)

Given that the probability distribution of X is Binomial with Bin(15, 0.11).Where:n = 15p = 0.11q =…

Answered: NBC News reported on May 2, 2013, that…

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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If ? is a binomial random variable, compute the mean, the standard deviation, and the variance for each of the following cases: (a) ?=4,?=0.2?=?2= ?= (b) ?=5,?=0.9?= ?2=?=
The joint probability distribution of the random variables X and Y is given below: ? (?, ?) = ???, 0 <? <2, 0 <? <? 0, other a. Find the value of the constant. b. Calculate and interpret the covariance and correlation of the X and Y random variables. c. Calculate the expected value and variance of the random variable ? = 2? − 3? + 2.
Given the below is a bivariate distribution for the random variables x and y P(x,y) x Y 0.20 30 80 0.50 40 50 0.30 50 60 A. Draw a histogram of the probability distribution for both x and y B. Compute the covariance and correlation for x and y C. Are x and y positively related, negatively related, or unrelated Please do not solve using Microsoft Excel. My professor is not teaching using excel. I would like to see the steps taken to getting the solution for my own reference to study.
The number of earthquakes per day in the world has a Poisson distribution with parameter ?= 55. Suppose that the random variable X is the number of earthquakes occurring in one day in the world. Let the random variable Y be the total number earthquakes occurring in the world in 3 days. The Poisson distribution is very useful in analyzing phenomena which occur randomly in space or time.a. For our model, what is expected value of X? b. What is the probability that X = 55? c. What is the probability that X > 55? d. What is the probability that X >60? e. What is the smallest value C so that there is at least a 0.9 probability of no more than C earthquakes in a day? f. Y also has a Poisson distribution. What is the parameter ?y for Y? g. What is the standard deviation of X? h. What is the probability Y =164? i. What is the probability that Y < 164? j. What is the probability that X>60 given that X>55?
Millo.09.
Can I get help for question B?
For a Poisson random variable, what is the relationship between its parameter and its mean?
Two six-sided dice are rolled and the random variable x is the sum of the values produced by each die. a. List the possible outcomes for the variable x, determine the probability for each outcome, and calculate the expected value of x. b. Calculate the variance of x. c. Calculate the standard deviation of x. a. List the possible outcomes for the variable x. Choose the correct answer below. O A. 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 О В. 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 ОС. 1,2, 3, 4, 5, 6 O D. 3, 4, 5, 6, 7, 8, 9, 10, 11 Determine the probability for each outcome. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or fractions.) O A. P(1) =. P(2) = P(3) = P(4) = P(5) = P(6) = О В. Р/2)- P(3) = , P(4) = , P(5) = P(6) = P(7) = P(8) = P(9) = , P(10)= P(11) = P(12) = %3D O C. P(3) = P(4) = , P(5) = , P(6) = ,P(7) = P(8) = P(9) = P(10) = P(11) = O D. P(1)= , P(2) = , P(3) = P(4) = , P(5) = P(6) = P(7) = P(8) = P(9) = P(10) = P(11) = P(12)…
The number of large cracks in a length of pavement along a certain street has a Poisson distribution with a mean of 1 crack per 100 m. What is the probability that there will be exactly 8 cracks in a 700 m length of pavement? O A. 0.224 O B. 0.034 O C. 0.130 O D. 0.065
plz provide handwritten answer for part b
Suppose you were given this Joint Probability Distribution: x=number of bars of signal strength x=number of bars of signal strength x=number of bars of signal strength x=number of bars of signal strength y=number of times city name is stated 1 2 3 Marginal probability distribution of y 4 0.15 0.1 0.05 0.3 3 0.02 0.1 0.05 0.17 2 0.02 0.03 0.2 0.25 1 0.01 0.02 0.25 0.28 0.2 0.25 0.55 Marginal probability distribution of x Marginal probability distribution of x Marginal probability distribution of x Marginal probability distribution of x Find the conditional mean and variance of Y|3 Mean = Variance =
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