Statistics and Probability Problems

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SUMMARY

This discussion focuses on solving various statistics and probability problems, including calculating expected values, determining winning probabilities in coin toss scenarios, and analyzing student enrollment data. Key examples include finding E(X) for a discrete random variable, calculating the probability of winning $1000 based on coin toss outcomes, and evaluating conditional probabilities related to university admissions. The participants express confusion over specific problems, indicating a need for clearer problem statements and structured approaches to solutions.

PREREQUISITES
  • Understanding of expected value calculations in probability
  • Familiarity with basic probability concepts, including conditional probability
  • Knowledge of discrete random variables and their distributions
  • Ability to interpret and analyze survey data for statistical inference
NEXT STEPS
  • Study the concept of expected value in discrete probability distributions
  • Learn about conditional probability and Bayes' theorem
  • Explore combinatorial methods for calculating probabilities in games of chance
  • Investigate statistical methods for analyzing survey data and drawing conclusions
USEFUL FOR

Students studying statistics, educators teaching probability concepts, and anyone looking to improve their problem-solving skills in statistics and probability theory.

SHOSHO19
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1)X=0,1,2,3,4

FIND E(X)

The attempt at a solution:

E(X)= (4 X)(.4)X (,6)4-X



2) YOU CAN TOSS A FAIR COIN UP TO 7 TIMES.YOU WILL WIN 1000$ IF THERE TAILS APPEAR BEFORE A HEAD IS ENCOUNTERED. WHAT ARE YOU CHANCES OF WINING ?


The attempt at a solution:
2*2*2*2*2*2*2=128


3)In a study to correlate senior year high school students scores in mathematics and enrollment in engineering colleges a 1000 students were surveyed:
400 have studied mathematics
Engineering enrollment shows that of the 1000 seniors:
150 have studied mathematics
29 have not
Determine the probability of:
a-A student who studied mathematics is enrolled in engineering
b-A student who neither studies mathematics nor enrolled in engineering
c-A student is not studying engineering

I do not understand it =(



4) Graduating high school seniors with an ACT score of at least 26 can apply to two universities A, and B, for admission. The probability of being accepted in A is 0.4 and in B is 0.25. The chance of being accepted in both universities is only 15%
a-Determine the probability that the student is accepted in B given that A has granted admission as well
b-is the probability that admission will be granted in A given that the student was accepted in B?


I do not understand it =(


I have 9 homeworks
I worked 5 and left 4 and I ask you to help me =(
 
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Up :(
 
happy to help, but you need to attempt some work.. what have you tried

also, please try and write down your questions just as they are given, or be vry clear, they are quite difficult to follow
 

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