Consider a population of the fruitfly Drosophila melanogaster in which 30% of the individuals areblack because of a mutation, while 70% of the individuals have normal gray body color. Supposethree flies are chosen at random from the population; let Y denote the number of black flies outof the three. Then the probability distribution for Y is given by the following table:(a) P(Y ≥2)(b) P(Y ≤2)Y (No. Black) Probability0.3430.4410.1890.0271.0000123Total

The question is about discrete probability distribution.Given :

Answered: Consider a population of the fruitfly…

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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Below is a probability distribution for the number of failures in an elementary statistics course. Determine the following probabilities: a. P(X= 2) = b. P(X 2) = e. P(X = 1 or X = 4) = f. P(1 ≤X ≤ 4) = X 0 1 2 3 4 P(X=x) 0.41 0.18? 0.05 0.15 ab ab 12
Given the following probability distribution for the number of semesters of Math a (non-Math major) college student will take as they earn their degree: x:number of semesters of Math 1 2 3 4 P(x) 0.25 0.45 0.20 0.10 What is the probability that a randomly selected (non-Math major) college student will have taken exactly 3 semesters of Math? Show how you calculated your result here (type in what you typed on your calculator or computer, etc) Calculation: __________ Now type in your final simplified or rounded answer, if necessary round your answer to four decimal places. P(exactly 3 semesters of Math) = _____________
1. Toss a coin twice .Write the probability distribution of the random variable (a)X = 3( Number of Heads - Number of Tails). Then find (1) P( X >0) ; (ii) E(X), Var(X) and S.D (X).
A. Construct the probability distribution for the random variables described in each of the following situations. Draw the corresponding histogram for each probability distribution.1. Random variable X which is equal or corresponds to 52. Random variable Y, which is equal or corresponds to 8
When the health department tested private wells in a county for two impurities commonly found in drinking water, it found that 10% of the wells had neither impurity, 90% had impurity A, and 20% had impurity B. (Obviously, some had both impurities.) If a well is randomly chosen from those in the county, find the probability distribution for Y, the number of impurities found in the well. P(no impurities)= P(exactly one impurity)= P(both impurities)=
2. The number of patients visiting an emergency room during the graveyard shift (11:00pm-7:00pm), denoted by the random variable X, has the following probability distribution: 1 2 3 4 5 P(X=x) .05 .20 .25 .20 .10 .15 .05 a. Find the probability there will be 3 or more emergency room patients during a randomly selected 8-hour graveyard shift. b. Find the probability there will be an even number of patients. c. Find the probability there will be at least 2 but not more than 5 patients. d. Find the probability there will be less than 2 patients. e. How do you suppose the probability distribution above was obtained?
1. Given the value X which is a random variable that states the number of visitors in a restaurant, with P(X= x) = C a. Determine the value of C such that the function is a discrete probability distribution b. Calculate the probability that there will be at least 2 costumers at the restaurant at a time ; x = 0, 1, 2, ...
1. If a random variable X takes the value 1,2,3,4 suchthat 2P(X = 1) = 3P(X = 2) = P(X = 3) = 5P(X = 4).Find the probability distribution of X.
Nicole has purchased the life insurance policy for her fish for the price of $200 per year and Nicole will receive $4000 in case if her fish passes away. The insurance company estimated the probability of her fish passing away during the length of the policy to be 0.5%. Let XX be the insurance company's profit. Answer the following questions: 1. Create the probability distribution table for XX : XX outcome profit xx ,$ P(X=x)P(X=x) fish passes away fish survives 2. Use the probability distribution table to find the following: E[X]=μX=E[X]=μX= dollars. (Round the answer to 1 decimal place.) SD[X]=σX=SD[X]=σX= dollars. (Round the answer to 1 decimal place.)
The following table shows the joint probability distribution of X and Y, where Y is the income level of a sample of countries, and X represents whether the countries' public debt to GDP ratio is high (above 100%) or low (below 100%) Debt Ratio(X) Income(y) High Low High income 0.24 0.29 Low Income 0.12 0.35 Question 2: Find the probability that a given country is classified as high-income, given that it has a low debt ratio
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3. Daily demand for lots of apples at the grocery store is given by the following probability distribution: 10 15 20 p(x) |0.30 0.55 0.15 The store buys a lot for $55 and sells it for $130 each. Any unsold lots at the end of the day are disposed at $45 each. Assuming that the stock level is restricted to one of the demand levels, how many lots should be stocked daily?

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