Statistics and Probability Answers

Each time Caroline goes shopping she decides whether or not to buy fruit.

The probability that she does buy fruit is 0.4.

Independently, she then decides whether or not to buy a CD, with a probability of 0.2 that she does buy a CD.

Work out the probability that she buys fruit or buys a CD or both.

Assuming you are to undertake a study involving any of these scenarios.

How will sample each scenario .

Put it into writing, use the first page to composition of the groups and the second to the sixth page for each of sample scenario discussions.

1. Effects of free SHS policy and double track.

2. Soil nutrients in a farm.

3. Crude protein content of a feed.

4.View of vigilante boys on voilence

if the random variable X and Y have the means μ_x=5 μ_y=10 the variances σ²_x=16,σ²_y=9 and ρ=0.3. Obtain the conditional probability distribution of Y given X=2

The probability density function of X is given by f(x)={ 6x(1-x) 0<x<1 0<y<1

{0 otherwise

find the pdf of Y=X³

Let X₁ and X₂ have the joint pmf p(x₁,x₂)=x₁x₂/36 ,x₁=1,2,3 and x₂=1,2,3, zero elsewhere.

Obtain the joint pmf of Y₁=X₁X₂ and Y₂=X₂, and the marginal pmf of Y₁.

Suppose X₁ and X₂ are random variables of the discrete type which have the joint pmf p(x_1,x₂)=(x₁+2x₂)/18, (x_1,x₂)=(1,1),(1,2),(2,1),(2,2), zero elsewhere. Determine the conditional mean and variance of X₂,given X₁=x₁, for x₁=1 or 2. Also ,compute E(3X₁-2X₂)

Given that X N(0,1) then show that the pdf of Y=X² is "\\chi" ₁²