Professor Michael C. Cranston, thank you for an outstanding Introduction to Probability and Statistics. Probability and Statistics is a different way of thinking from start to finish. Students will have some difficulty with this course . This is an error free video/lecture on RU-vid TV with Professor Michael C.Cranston.
@@MrFaiqueShakil there is , MIT RES.6-012 Introduction to Probability, Spring 201, link: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-1uW3qMFA9Ho.html
Let A and B be two events such that the occurrence of A implies occurrence of B, But notvice-versa, then the correct relation between P(A) and P(B) is? a)P(A) < P(B) b)P(B)≥P(A) c)P(A) = P(B) d)P(A)≥P(B) Correct answer of this question ? Please tell
Dr Cranston, I like your teaching style. BTW - there is NO suit value of the cards when playing poker, i.e. unlike Bridge, a spade flush has the same value as a club flush, heart, or diamond flush.
I can agree only on the sample space for alpha-particles emmited by an alarm, but the waiting times is far overblown. Waiting times at stop lights are never more than say 10 mins, so NOT +infinity. There must be some definite upper bound. Same goes for waiting times for a bus.
To be fair, you only know that because you know what those things are. Part of the value of statistics is that we can find an upper bound if we don't know it. (Meaning the example isn't as important as the teaching point of the example)
This grading scale is ridiculous. In all of my math classes over the years, I've always had at least 30% of the grade come from chapter tests, in addition to 10% from homework and 10% from quizzes. I've never seen a class with 80% of the grade based on two tests--the midterm and final. Geez.
welcome to the club buddy,while at college we only had to write 2 tests maximum,and 2 labs tests accounted for 40% and exam 50% of the total score,all homework were graded 10%,and if you missed 2/8 you wouldn't be allowed to write an exam
45% theory exam + 45% exercises exam +10% practical exam, no attendance, no homework, that's how we roll, if more than 15% of the grade is in homework / attendance / projects / anything else, you are not really learning the subject.
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not intuitive - 7 coin tosses likelihood of 7 straight H same as 4v3. Also, likelihood of a royal flush same as the likelihood of a pair or a 'nothing' hand. I must not understand something.
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Hello Teacher please can you answer me this questio🤷🏻♂️ 1. (score:20) Please give the definition of Probability of event A from the point of statistics and the point of Axiomatic 2.(score:15)IfP(A)=1/5,P(B)=1/4, and p(AB)=3/20, please calculate P(BA) and P(A U B) 3. (score:15)Please give the definition for continuous random variable and give the explanation of the geometric meaning between distribution function and probability density function. 4. (score:15)Dating Problem : Romeo and Juliet have a date at and each of them will arrive between time 12 o" clock and 13 o” clock , with all pairs of arrival being equally likely. The first to arrive will wait for 30 minutes and will leave if the other has not yet arrived. What is the probability that they will dating successfully? 5. (score:15)IFA and B are independent, please prove B and A are independent. 6. (score:15)IF Xis a discrete random variable with Probability mass function as P(X=2)=0.4,P(X=1)=0.1,P(X=-1)=0.3, P(X=-3)=0.2,And denote the distribution of X as F(x), please calculate F(2.5),F(3.5) and E(X),Var(2X) 7 (score:20) suppose that X obey Normal distribution with parameter u= 60,o =20, please calculate P(X>80) (Note: 中(1)=0.8413, where 中(x)is the standary normal distribution function take value at x)