The mean of X = 10 and the standard deviation of X = 2. The variable X is linearly transformed such that Xnew = a + bX. The mean of Xnew = 800 and the variance of Xnew = 100. Suppose b is a negative number. What does a equal?

The average marks on an Economics Assignment is 55%, with a standard deviation of 5%. The Examiners note that the distribution of the marks is normal. A. Define 'Normal Distribution' including key properties and illustrate with a diagram.  What is the proportion of frequencies below 35%?  What is the proportion of frequencies above 80%?  What is the proportion of marks between 40% and 70% ?

c and d part hand write

A bakery has determined that the number of loaves of its white bread demanded daily has a normal distribution with mean 7,200 loaves and standard deviation 300 loaves. Based on cost considerations, the company has decided that its best strategy is to produce a sufficient number of loaves so that it will fully supply demand on 94% of all days. a. How many loaves of bread should the company produce? b. Based on the production in part (a), on what percentage of days will the company be left with more than 500 loaves of unsold bread?

There is a normal distribution with mean 10 and standard deviation of 8.  What is the z-score of an observation equaling 15?

Which distribution is a probability distribution with a low mean and highly skewed to the right? Which distribution is a probability distribution with a low mean and highly skewed to the right? Level distribution Normal distribution Poisson distribution Uniform distribution

ii) Suppose that you find out that you have an OLS estimator which is unbiased but has a non-minimum variance. Discuss two practical steps that you take to reduce the variance of your OLS estimator. Explain your reasoning.

The joint probability distribution of two random variables, Xand Y, is given in the table below. Y=-4 Y--3 Y--1 Y-2 X--4 0.06 0.12 0.17 0.18 X--1 0.00 0.03 0.00 0.21 X-0 0.02 0.01 0.20 0.00 From the information in the table, calculate each of the following probabilities. Round your answers to two decimal places. (If necessary, consult a list of formulas.) (a) Given that Y=-3, compute the probability that X=0. Given that X2 -1, compute the probability that (b) Y2-3.

The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 3939 grams and a standard deviation of 555 grams. If a newborn baby boy born at the local hospital is randomly selected, find the probability that the weight will be less than 4771 grams. Round your answer to four decimal places.

i need the answer quickly