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Vikki [24]
3 years ago
10

A large but sparsely populated county has two small hospitals, one at the south end of the county and the other at the north end

. The south hospital’s emergency room has four beds, whereas the north hospital’s emergency room has only three beds. Let X denote the number of south beds occupied at a particular time on a given day, and let Y denote the number of north beds occupied at the same time on the same day. Suppose that these two rv’s are independent; that the pmf of X puts probability masses .1, .2, .3, .2, and .2 on the x values 0, 1, 2, 3, and 4, respectively; and that the pmf of Y distributes probabilities .1, .3, .4, and .2 on the y values 0, 1, 2, and 3, respectively.a. Display the joint pmf of X and Y in a joint probability table.b. Compute P(X # 1 and Y # 1) by adding probabilities from the joint pmf, and verify that this equals the product of P(X # 1) and P(Y # 1).c. Express the event that the total number of beds occupied at the two hospitals combined is at most 1 in terms of X and Y, and then calculate this probability.d. What is the probability that at least one of the two hospitals has no beds occupied?Devore, Jay L.. Probability and Statistics for Engineering and the Sciences (Page 210). Brooks Cole. Kindle Edition.

Mathematics
1 answer:
mihalych1998 [28]3 years ago
3 0

Answer:

a) The table is in the attached file

b) P(X=1, Y =1) = P(X=1)P(Y=1)

c) 0.06

d) 0.19

Step-by-step explanation:

Check the attached files for the solutions and explanations for questions a to d

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I WILL AWARD BRAINLIEST!! PLEASE HELP!! Given: ΔABC, AB = AC X ∈ AC , Y ∈AB AX = AY Prove: BX = CY m∠ABC = m∠ACB △ABX≅△____, by
EleoNora [17]

Answer:

△ABX ≅ △ACY, by reason that they are equal and congruent to each other.

I hope this answers your question.

6 0
3 years ago
Lan make 60 cakes. he gives 1/4 of the cakes to Helen. he gives 20 of the 60 cakes to sue. what fraction of the 60 cakes does he
weqwewe [10]

Answer:

5/12

Step-by-step explanation:

1/4 of the cakes is 60 divided by 4 which is 15. That goes to Helen

20 go to Sue

so far, he has given away 35 cakes out of the 60

he is left with 25 cakes

that is 25/60 which can be simplified to 5/12

4 0
3 years ago
Read 2 more answers
The sum of a number x and 5 equals 14
pav-90 [236]

Answer:

x=9

Step-by-step explanation:

Since x+5=14, then you would subtract 5 from 14. 14-5=9. So that means x equals 9.

3 0
3 years ago
Read 2 more answers
Two trains are traveling at a constant seed on different tracks Which train is traveling faster
EleoNora [17]

Answer:

Whichever train has the greatest numbers

Step-by-step explanation:

4 0
3 years ago
Find the hypotenuse of each isosceles right triangle when the legs are of the given measure. 6 sqrt 2
Gemiola [76]
Isosceles right triangles have two equal sides (a and b) that are not the hypotenuse (c). And when two sides are equal, so are their opposite angles. There are only 180° degrees in any triangles, thus the right angle = 90°, so 90 left for the two equal, means that 2x=90,
x = 45°.

There are several ways to go about solving a triangle like this. The best and easiest is simply to memorize that the hypotenuse is exactly root2 times the other sides. Or, each isosceles side is the hypotenuse (c) ÷ root2
a = b = c \div  \sqrt{2} \\ c  = a\sqrt{2}  \\ c = 6 \sqrt{2} \times \sqrt{2}  = 6 \times 2 = 12
Another way to do it is the longer proof of Pythagorean Theorem:
{c}^{2}  =  {a}^{2}  +  {b}^{2}... \:  \:  c =   \sqrt{({a}^{2}  +  {b}^{2})}  \\
c= \sqrt{({6 \sqrt{2}) }^{2} + ({6 \sqrt{2})}^{2}}  \\ =  \sqrt{(2 \times{(6 \sqrt{2} )}^{2} )}  =  \sqrt{2(36 \times 2)}  \\ c =  \sqrt{144}  = 12

7 0
3 years ago
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