Q3 A mattress store offers mattress with different levels of quality: 1, 2, and 3. Level 1 is worst quality, level 3 is best quality. The following table shows the levels and the probability of purchase according to each level. Define random variable X as the quality level of the mattress in a purchase. level 1 2 3 probability 0.2 0.3 0.5 1Find the mean and variance for X. 2( Assume the price of the mattress, Y, is a function of X. And can be expressed as Y = 350 + 10X. Find the probability distribution of Y, and find the mean of Y. 3 For a sample of two randomly selected purchases ( each purchase is for one mattress), the purchase payments(price) can be expressed as Y and Y2. Define T = Y1 + Y2, i.e. the total payment (price) of the two purchases. Find the distribution of T. I don't need too much explanation thanks
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Q3 A mattress store offers mattress with different levels of quality: 1, 2, and 3. Level 1 is worst quality, level 3 is best quality. The following table shows the levels and the
level 1 2 3
probability 0.2 0.3 0.5
1Find the
2( Assume the price of the mattress, Y, is a
3 For a sample of two randomly selected purchases ( each purchase is for one mattress), the purchase payments(price) can be expressed as Y and Y2. Define T = Y1 + Y2, i.e. the total payment (price) of the two purchases. Find the distribution of T.
I don't need too much explanation thanks
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