(a) state the (four) conditions necessary for a random variable x to have a binomial distribution. it is known that the probability of being dealt a full house in a hand of poker is .0014. in 1,000 hands of poker, let x be the number of times the dealer gives you a full house. (b) what is the exact probability distribution of x? ( justify your answer carefully.) (c) what are the expected value and variance of x? (simply state the results based on your answer in ( (d) use a poisson approximation to show that p(x > 2), the probability that you are dealt at least 2 full houses, is approximately equal to .408. (e) suppose that a random variable y function of y is m(t) = e^(e' –1). poisson(a). prove that the moment-generating

$650 per month plus utilities

step-by-step explanation:

just based on the info you gave, it would seem more cost effective to rent at $650 per month plus utilities.   if utilities are, in fact, $150 per month, your monthly living costs would be $800 as opposed to the other option of $825.

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752

answer: 7 x 2/5 = 2.8 hours, is your answer. your welcome! : 3

step-by-step explanation: first work out how long it took to hose 1/7 of the lawn which is 2/5 hours. times that by 7 to get the whole lawn.

sorry i don't know the other answer. i didn't learn what a proportional relationship is.