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user100 [1]
3 years ago
6

Complete the following statement. The conditional probability of B given A can be found by​ _______. a. adding​ P(A) and​ P(B).b

. assuming that event B has​ occurred, and then calculating the probability that event A will occur c. multiplying​ P(A) times​ P(B).d. assuming that event A has​ occurred, and then calculating the probability that event B will occur.
Mathematics
1 answer:
Ksju [112]3 years ago
7 0

Answer: Assuming that event A has occurred

Step-by-step explanation:

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the class marks of a distribution are 37 42 and 47 the class limits corresponding to class mark 42 are
I am Lyosha [343]

Answer:

39.5,44.5

Step-by-step explanation:

Let\ the\ lower\ limit\ and\ the\ upper\ limit\ of\ the\ first\ interval\ be\ u_1,v_1.\\Let\ the\ lower\ limit\ and\ the\ upper\ limit\ of\ the\ second\ interval\ be\ u_2,v_2.\\Let\ the\ lower\ limit\ and\ the\ upper\ limit\ of\ the\ third\ interval\ be\ u_3,v_3.\\Hence,\\As\ the\ class\ marks\ are\ uniform\ with\ an\ a\ difference\ of\ 5, the\\ observation\ is\ continuous\ and\ the\ class\ size\ is\ 5\ too.\\Hence,\\v_1=u_2, v_2=u_3\\Now,\\Lets\ consider\ the\ first\ two\ classes.\\37=\frac{u_1+v_1}{2} \\42=\frac{u_2+v_2}{2}\\By\ adding\ the\ equations:\\79= \frac{u_1+v_1}{2}+\frac{u_2+v_2}{2}\\79=\frac{u_1+v_1+u_2+v_2}{2}\\79=\frac{(u_1+v_2)+(v_1+u_2)}{2}\\79=\frac{(u_1+v_2)}{2}+\frac{(v_1+u_2)}{2}\\Now,\\As\ the\ mid-point\ between\ two\ points\ can\ be\ calculated\ by\\ its\ average:\frac{u+v}{2} \\Hence,\\u_2\ lies\ in\ the\ mid-point\ of\ u_1\ and\ v_2.\\u_2=\frac{(u_1+v_2)}{2}\\

Hence,\\By\ substituting\ u_2=\frac{(u_1+v_2)}{2},\\79=u_2+\frac{v_1+u_2}{2}\\As\ v_1=u_2[Proven],\\79=u_2+ \frac{u_2+u_2}{2}\\79=u_2+\frac{2u_2}{2}\\79=2u_2\\Hence,\\u_2=\frac{79}{2}\\u_2=39.5\\Now,\ as\ we\ already\ know\ that\ the\ class\ size=5,\\v_2-u_2=5\\Hence,\\v_2=5+u_2\\Here,\\v_2=5+39.5\\v_2=44.5\\Hence,\\The\ upper\ limit\ of\ the\ second\ interval=44.5\\The\ lower\ limit\ of\ the\ second\ interval=39.5\\

7 0
3 years ago
A comfort room which is 2m by 2m has to be tiled with 30 cm by 30 cm tiles. Is 50 pieces tiles enough to cover the comfort room.
Allisa [31]

Answer:

yes

number of tiles needed = (200 x 200) / (30 x 30) = 44.4

Step-by-step explanation:

number of tiles needed = Area of comfort room / area of tiles

Area of a square = length²

convert area of comfort room to cm

100 cm = 1 meter

2 x 100 = 200

number of tiles needed = (200 x 200) / (30 x 30) = 44.4

50 tiles are more than enough to tile the room

5 0
3 years ago
Jorge wants to find the most popular way for teens to volunteer in the community. He cannot decide between two methods. Option 1
ale4655 [162]
Option 2 would be biased.  Asking people participating in a walkathon means you are asking people that are already volunteering.  To get a non-biased sample, you have to be sure that you are including people that are not guaranteed to be volunteers; you don't have that in this situation.
4 0
3 years ago
Read 2 more answers
All the real square roots of 144.
Monica [59]

Answer:

So the set of all real square roots of -144 is the empty set. The imaginary square roots are i12 and -i12.

Step-by-step explanation:

hopefully that helps you

6 0
4 years ago
Read 2 more answers
X + y = 3<br> 3x + 2y = 14
d1i1m1o1n [39]

<em><u>The solution is x = 8 and y = -5</u></em>

<em><u>Solution:</u></em>

<em><u>Given system of equations are:</u></em>

x + y = 3 ------ eqn 1

3x + 2y = 14 ------ eqn 2

We have to find the solution to the equations

We can use substitution method to solve

From eqn 1,

x + y = 3

Isolate for "x"

x = 3 - y ------ eqn 3

<em><u>Substitute eqn 3 in eqn 2</u></em>

3(3 - y) + 2y = 14

9 - 3y + 2y = 14

-y = 14 - 9

-y = 5

<h3>y = -5</h3>

<em><u>Substitute y = -5 in eqn 3</u></em>

x = 3 - (-5)

x = 3 + 5 = 8

<h3>x = 8</h3>

Thus the solution is x = 8 and y = -5

3 0
4 years ago
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