ACCORDING TO SARTRE, THE INDIVIDUAL ( 1 ) exists in the world , ( 2 ) is at work there, ( 3 ) is there in the midst of other people, and (4) is mortal there .sartre describes these four characteristics of man's "being -in-the-world" as

select one or more :

a- the human condition.

b- the fixed limits that outline humanity's fundamental situation in the universe.

c- the conditions that determine what we are and what we do.

d- the human tragedy .

2 step reaction:

1-methylcyclohexene to 1,6-heptandiol

Discuss 1) The Sanger method and 2) Affinity chromatography

y''+y=2t+1+(cos(t))^-2

et, X 1 , X 2 , X 3 , . . . . . . . . . . . . . , X 2 n , w h e r e n = 5 , be a independent random sample of size 10 from population having mean μ = 5 and standard deviation σ = 2 . Consider the following estimators of μ :

a= x1+x2+x3.....x2n/2n

a2=(3x1-x2+2x3)/3

What about the unbiasedness of the estimators?

The second one is unbiased, and the bias for the first one is 1.

Both estimators are biased, and the amount of bias are 1 and 1.667, respectively.

Both estimators are unbiased.

The first estimator is unbiased and the bias for the second one is 1.667.

b) What is the mean square error (MSE) of the first estimator?

c) What is the mean square error (MSE) of the second estimator?

Show that the probability that all permutations of the sequence 1, 2, . . . , n have no number i being still in the ith position is less than 0.37 if n is large enough. Show all your work.

19) A die is weighted in such a way that each of 1 and 2 is three times as likely to come up as each of

the other numbers. Find the probability distribution. What is the probability of rolling an even

number?

20) Suppose you pick 1 card at random from a standard deck of 52 playing cards. Find the probability

that the card you select is between 4 and 7?

21) Suppose you pick 1 card at random from a standard deck of 52 playing cards. Find the probability

that the card you select is an “ace” or a club.

22) Suppose you pick 4 cards at random out of a deck of cards. Find the probability that

all

cards are

the same color.

Suppose that I have a bag of marbles: 2 are red, 2 are green and 1 is blue.

You select three marbles from the bag. Find the following probabilities:

23) You get both red marbles

24) You get at least

one

red marble

25) You get one of each color

26) You get no red marbles.

27) You get both red marbles, given that you got the blue marble

28) You get both red marbles, given that you did not get the blue marble.

29) Two dice are rolled – a red die and a green die.

Let event A := Neither die is a 1 or a 6 and event B:= The sum is even.

Are these events independent? How do you know?

30) It snows in Greenland an average of once every 25 days, and when it does, glaciers have a 20%

chance of growing. When it does not snow in Greenland, glaciers have only a 4% chance of growing.

What is the probability that it is snowing in Greenland when glaciers are growing?

Prove that if the integers 1, 2, 3, . . . , 65 are arranged in any order, then it is possible to look either left to right or right to left through the list and find nine numbers that are in increasing order

Hypertension

1. What is the treatment?

2. What is the prognosis?