# Question: The length of certain bricks is a random variable with

The length of certain bricks is a random variable with a mean of 8 inches and a standard deviation of 0.1 inch, and the thickness of the mortar between two bricks is a random variable with a mean of 0.5 inch and a standard deviation of 0.03 inch. What is the mean and the standard deviation of the length of a wall made of 50 of these bricks laid side by side, if we can assume that all the random variables involved are independent?

## Relevant Questions

If heads is a success when we flip a coin, getting a six is a success when we roll a die, and getting an ace is a success when we draw a card from an ordinary deck of 52 playing cards, find the mean and the standard ...If X is a binomial random variable, for what value of θ is the probability b(x;n,θ) a maximum? With reference to Exercise 5.16, find expressions for µY and σ2Y. In exercise The negative binomial distribution is sometimes defined in a different way as the distribution of the number of failures that precede the kth ...A variation of the binomial distribution arises when the n trials are all independent, but the probability of a success on the ith trial is θi, and these probabilities are not all equal. If X is the number of successes ...Derive the formulas for the mean and the variance of the Poisson distribution by first evaluating E(X) and E[ X(X – 1)].Post your question