Probability and Statistics Exam 1 Review Problems and Solutions

This is for a Calculus-based Probability and Statistics Course for Scientists and Engineers.

Links and resources
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(0:00) Types of problems
(0:43) Venn diagram problem (mutually exclusive events and complement rule)
(5:00) Combinatorial probability problem 1 (combinations)
(12:29) Combinatorial probability problem 2 (combinations)
(16:59) Binomial distribution (binomial random variable)
(21:19) Bayes' Theorem (disease testing with a tree diagram)
(29:11) Geometric distribution (geometric random variable)
(33:18) Discrete random variable probability mass function (PMF) and cumulative distribution function (CDF)
(35:57) Definition of mean (expected value) of a discrete random variable
(37:57) Moment generating function (MGF) and the mean
(41:12) Variance computational formula: Var(X) = E[X^2] - (E[X])^2
(44:04) Poisson distribution (Poisson random variable)
(49:41) Exponential distribution (exponential random variable), a continuous random variable
(54:16) Continuous random variable CDF, probability, and mean (expected value)

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[LSZ]

Would you happen to have class lectures uploaded? I got a lot out of this video.

[bighorseofficial]

It's crazy that you can go to multiple lectures and not understand the content, but one good youtube video makes you a master

[coopervance]

Wow, as a student who has done calc their whole academic career and am finally taking a probability class to get my math minor, you are saving my butt!! Great review, thanks!

[andrewsecker]

You do a great job at explaining. This is the first time I've understood statistics after taking it for an entire semester.

[Vinny-tcyc]

This is such an amazing video! Perfect blend of difficulty and with great explanations on how to solve the problem.

[samg]

Way better than anything my professor has ever said. Thanks!

[kubakuba]

This is just fantastic. Thank you so much for sharing the experience.

[paulah]

thank you so much for this video, i've been so lost in my class but now everything is more clear! i have a basis of understanding now thank you 😭

[giuliagualandi]

Thank you so much, this video helped a lot preparing for my exam !

[KeyserTheRedBeard]

incredible content Bill Kinney. I shattered that thumbs up on your video. Keep on up the high quality work.

[cashmoney]

Great video Professor!! Do you have lectures for Probability and Stats?

[mustafatepe]

Thanks for videos . It is so help to my exams

[xbz]

i loved it when you pulled up the ti-84, goat

[micahmingochi]

Could you do one for Financial math and Linear Algebra? Really appreciate the quality content. (Actuarial Science Student.)

[philphil]

minor quibble with wording on question 5. (i think "suppose 1.2% of population test positive" should read "suppose 1.2% of population *are* positive). but otherwise this was fantastic. many thanks, these vids are helping a lot.

[ryanjacksonx]

What are the links to the rest of the videos in the series?

[Ilemaurice]

Hello Sir i really need some help can you help me plz i have lots of questions

[StaticBlaster]

I got 4/9 without doing all of that computational work. I know selecting one firm out of nine firms is 1/9 and we're asked to select four firms out of nine, so you multiply four times 1/9 which equals 4/9.

[mertcelik]

that shit be way easier than it should be lecturer dont get me wrong or anything tho

[Ilemaurice]

Do u have any mail to contact you if possible?