probability

I have been working on the following question for a while but I stucked at a certain point. I have done part a and b and I found = (I_T + D'D)y where I_T is the identity matrix with dimension T, lambda is tuning parameter and D is the second order difference matrix which is a tridiagonal and...

So 60 labs decided to group up to test the null hypothesis (sample mean is equal to zero) against the alternative (sample mean is not). The 60 labs collect 10 samples each and all use an α = 0.05 level. Assuming the null hypothesis is true: a) Probability that no labs reject the null? b)...

Hi All I am reading some research paper on machine learning and come across below paragraph, can someone help me decode these two equations mentioned below. New to statistics and probability so apologies in advance if my question is very basic. Here is an example showing the problem with...

There are error in programs which have two parts Part A and Part B. P(error in A) = 0.13 P(error in B) = 0.38 P(program crash when error in A) = 0.6 P(program crash when error in B) = 0.692 P(prog crash when an error in both A and B) = 0.79 Q1)Your program crashed. Find P(error in both...

I have some data containing 6 different types of values. They are, ID means the main ID sub_ID means the subsection/part of the ID orig_content means the amount in milligram (mg) they have originally stored in this ID, orig_min means the minimum amount in milligram (mg) they can store in this...

Here is the question:https://ibb.co/TLPVTmz So it would be: n = 5, p = 9/15 = 0.6 , q= 1-0.6 =0.4 P(x=3) = (5C3) * 0.6^3 *(0.4)^(5-3) = 0.3456 P(x=4) = (5C4) * 0.6^4 *(0.4)^(5-4) = 0.2592 P(x=5) = (5C5) * 0.6^5 *(0.4)^(5-5) = 0.07776 So adding the 3 prob = 0.68256 Ans. We will not...

Can anyone tell me if this equation valid? If yes how? I have tried to check on google but couldn't find it! If this equation is valid then I will be able to solve a question on Bayes theorem. Thanks!

Hello! Can anyone tell me how to solve this question? Consider that X~ Poisson(μ) and P(X > 0) = e ^−1.5 Find the variance? I need P(x =0) to use the formulae of Poisson distribution. But I don't have that!

I started my studies in statistics and was given an exercise, which I have a problem with: On average, one woman in 70 is pregnant. A pregnancy test has been developed. However, the test sometimes gives false results, i.e. it detects a true pregnancy in 97 out of 100, and in the absence of...

I have the following task: There is 4% of sick people in a population. There is 5% chance for a positive test for a healthy person. There is 2% chance for a negative test for a a sick person. We tested 100 people and 4 had a positive test. What is the probability of such an outcome? So far I...

Hello, New to this forum and bit of a stats newbie so forgive me for any if my question is too vague or I say anything incorrect. My dataset is ELISA outputs for 10 individuals over three timepoints with sample size. I want to see if the individuals remain in the same order over the 3...

I need to write an original question. I will use your answer as a guide to write an original question by myself. I couldn't find a guide or some examples from books or videos. I would reallly appreciate if you know and let me know where I can also find some examples . I dont know where or how...

Hi! I'm working on a binomial conditional probability question and I am stuck. I would really appreciate some help. The question is as follows: You have a box of n=40 bolts. The probability of a bolt being faulty is p=0.005. You are told that at least one of the bolts is faulty, and asked: What...

It’s a combinatorics project for my beginner stats class. I’ve done the project several times and keep getting it wrong. The question reads: “ Is having a girl the same event as having AT LEAST one girl?” AND then it asks me: “Is it possible to calculate these probabilities?” This project is...

Hello, It has been a while since I used my probability and statistics. My question is: Say a group of 5 five people need to find the similarities between two foto's individually. After checking the result is that they found 3, 6, 2, 8, 1 correct similarities. How can you say with a certain...

Straight Variant: The only difference is that the top rank can bridge the 1st rank to form a sequence. Think of it as if Q, K, A, 2, 3 was a legal straight. How is that calculated? A More Complex Straight Variant: This one gets trickier, I think. In this variant, there are: 64 cards 4 suits 13...

Using Galton Watson branching process. Assume that a fox had 0,1,2,3 offspring with probabilities p0,p1,p2,p3 respectively. find the probability distribution for G1 and G2. below is what I’ve done so far I think this is correct for G1 however I’m unsure where to even start with G2.

There is an exercise that I am not able to solve: Diagnostic tests A1 and A2 are used to detect the presence or absence of a disease. The results of A1 and A2 are a priori independent of the presence or absence of the disease. A1 and A2 have sensitivity Sen1 and Sen2, respectively. A new...

Before I start I wanna say sorry. This post might a bit vague, I'm not really sure where I'm going and it's been a while since I took a stat class. I'm hoping someone can nudge me in the right direction here, kinda lost at the moment. We have an algorithm for correcting people's height - it's...

Hi All, I would like to know if the method I’m using to calculate a probability based on an occurrence rate is correct or if there is a better method to use. Here is some context to give you an idea of what I’m working with: I am looking at determining the probability of a fatal accident...