Determining bivariate normal distribution

Reference no: EM1312349

Q1) Assumer we draw 2 independent random samples, one consisting of 25 in-state first years and other consisting of 25 out-of-state first years. Determine the probability that sample mean score for in-state first years exceeds that of out of state first years? Assume that 2 different tests, 1 and 2, are to be given to student selected at random from certain population. Assume also that mean score on test 1 is 85 and standard deviation is 10; that mean score on test 2 is 90 and standard deviation is 16; that scores on two tests have a bivariate normal distribution; and that correlation of 2 scores is 0.8. Determine the probability that sum of the student's scores on 2 tests will be greater than 200?

Reference no: EM1312349

Questions Cloud

Lung cancer attributable to smoking. : Determine the proportion of the lung cancers attributable to smoking among: smokers and the whole population.

Computing the present value of this investment : Computing the present value of this investment and what is the present value of this investment

Less elastic and estimating price elasticity of demand : At what price will she buy four visits? Eight visits? What is the elasticity of between a price of $5 and $6 per visit? Between a price of $29 and $31?

Condition for the events to be independent : Using the simple test of independence (described in the lecture), decide if the events high calorie and high fiber are independent or dependent. Show your work.

Determining bivariate normal distribution : Cores on two tests have a bivariate normal distribution; and that correlation of 2 scores is 0.8. Determine the probability that sum of the student's scores on 2 tests will be greater than 200?

Determine the location and magnification of the image : An object with a height of 42 cm is placed 2.2 m in front of a concave mirror with a focal length of 0.45 m. Determine the location and magnification of the image produced by the mirror, using the mirror and magnification equations.

Computation the present value of the portfolio of investment : Computation the present value of the portfolio of investments and what is the present value of her inheritance

Production possibilities curve for medical services : Draw a bowed-out production possibilities curve (PPC or PPF) with an aggregate measure of medical services, Q, on the horizontal axis and an aggregate measure of all other goods (and services), Z, on the vertical axis.

Probability-binomial distribution : Find the probability that the number of who consider themselves basketball fans is :

User Account

All Pages