Acertain college has m freshmen, m sophomores, m juniors, and m seniors. a certain class is a simple random sample of size n students, i. e., all sets of n of the 4m students are equally likely. let x1, . . , x4 be the numbers of freshmen, . . , seniors in the class.

(a) find the joint pmf of x1, x2, x3, x4.

(b) give both an intuitive explanation and a mathematical justification for whether or not the distri- bution from (a) is multinomial.

(c) find cov(x1, x3), fully simplified. hint: 1+x2+x3+x4 =n.

(d) how does cov(x1,x3) compare to if the distribution in (a) were multinomial? why does this make sense?

the answer to this question is 3/19

step-by-step explanation:

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft       60 sec     60 min     158400   ft

  *   *   =

1 sec       1 min       1 hour         hour

we know that there are 5280 ft per mile

158400   ft       1 mile         30 miles

  *   =

1   hour               5280 ft     1 hour

so in 1 hour   it can travel 30 miles

required rate of return = 0.166 = 16.6%

step-by-step explanation:

under the capital asset pricing model (capm), the required or expected rate of return for a particular security or asset is given using the formula:

required rate of return = risk-free rate + beta*(market risk premium)

we are given that;

risk-free rate = 4% = 0.04

beta = 1.4

market risk premium = 9% = 0.09

we simply plug these values into the above formula;

required rate of return = 0.04 + 1.4*(0.09)

required rate of return = 0.04 + 0.126

required rate of return = 0.166 = 16.6%