[ f(x, y) = c (x^2 – y^2) hspace{0.5in} 0 leq x lt infty, hspace{0.2in} -x leq y leq x ] This question aims to find the conditional distribution of the given function with a given condition X=x. Read moreLet x represent the difference between the number of heads and the number of tails obtained when […]
Category Archives: Statistics Q&A
This problem aims to familiarize us with the method of poof. The concept required to solve this problem is related to discrete mathematics, including direct proof or proof by contradiction, and proof by contrapositive. There are multiple methods to write a proof, but here we are going to see only two methods, proof by contradiction […]
The question aims to find out the p-value using the given alternative hypothesis, which is a one-sided hypothesis. Therefore, the p-value will be determined for the left tail test with reference to the standard normal probability table. When the alternative hypothesis states that a certain value for a parameter in the null hypothesis is lesser […]
Suppose that X is a normal random variable with mean 5. If P(X>9)=0.2, approximately what is Var(X)?
This question aims to find the probability of a normally distributed random variable $X$. A random variable is one whose value is determined by the results of a statistical experiment. The normal distribution, also known as the Gaussian distribution or the z-distribution, has a mean of zero and a standard deviation of one. Data in a […]
-a) What percentage of 25-year-old men are over $6$ feet, $2$ inches tall? -b) What percentage of men in the $6$-footer club are over $6$ feet, $5$ inches? Read moreLet x represent the difference between the number of heads and the number of tails obtained when a coin is tossed n times. What are the […]