Use Binomial Distribution for the following problems.1. Find the probability of 3 successes among 5 trials if success probability is 0.09.2. There is a 1% delinquency rate for consumers with FICO credit score above 800. We choose arandom sample of 5 people with FICO score above 800.a) Find the probability 2 of them become delinquent.b) Find the probability that none of them become delinquent.c) Find the mean and the standard deviation of the distribution.d) Is it unusual to see 4 out of 5 people become delinquent?3. About 7% of people inorld are known to have O negative blood type. Find the followingprobabilities in 4 trials.a) 3 have O negative blood type.b) All of them have O negative blood type.c) Is it unusual to find all of them have O negative blood type?99+DesktopDELLF5F6F7F8F9F10F11F12PrtScrIr&58.6.

As per our guidelines we are suppose to do only one…

Answered: Use Binomial Distribution for the…

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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3. Two board members were chosen at random from 12 candidates of which 8 were independent candidates. a. Determine the probability distribution for the number of independent candidates selected. b. Find the mean and the variance of the distribution of the number of independent candidates chosen as board members.
6. Suppose two dice are tossed. Let X be the sum of the dots on the top faces of the two dice. Find the probability distribution of X.
. If tossing a loaded coin gives heads 60% of times, what is the likelihood (probability) of observing heads 50 times or fewer out of 100 tosses? 12 The probability of observing heads 50 times or fewer out of 100 would be 0.03 or 3 percent. use excel.
A class president is favored by 53% of all students voting, assuming this is accurate, a random sample of 400 students are surveyed. 1. What is the probability that less than 49% will favor this student? 2. What is the probability that more than 57% will favor the student?
3. A hacker breaking into a computer system has a 15% chance of breaking into a system in 3 minutes, a 35% chance after 8 minutes, and a 50% chance after 30 minutes. What is the expected time it will take the hacker to get in?
1. In a factory that produces pieces of ready-made concrete, if the percentage of production of defective blocks is 0.6, if we draw a sample of 5 pieces: find the probability of getting 3 defective pieces. *
12. A survey conducted discovered that 63% of all Americans are overweight. Suppose that a number of randomly selected Americans are weighed. The following table may (or may not) be useful: k 0 1 2 3 4 1 4 6 4 1 4Ck (a) Find the probability that the 4th person weighed is the first person to be overweight. (b) Find the probability that it takes less than 4 people to observe the first overweight person. (c) Find the expected value and variance of the number of Americans that would have to be weighed in order to find the first person that was overweight.
8. Describes the probability of a particular outcome in a series of experiment where the outcome has two distinct possibilities, success or failure. A. Exponential distribution B. Normal distribution C. Probability distribution D. Binomial distribution
4. Make a “tree” diagram for the following scenario. You go to the corner of State St. and Center Ave and are looking to see if the drivers of the first three cars that pass by you are wearing hats or not wearing hats. a) Generate the probability distribution for problem number 4 assuming that the probability of a driver wearing a hat is 40% and the random variable x is the number of drivers wearing a hat. b) Find the mean, variance and the standard deviation of the probability distribution in part a. Please show all work.

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