Suppose you select two numbers at random with replacement from the set {1, 2, 3} and then you form a rectangle with the first number as the length of the rectangle and the second number as the height of the rectangle. Let X be the area of the rectangle so formed. Find the probability mass function of X.
Answers
Answer:
Let X be the rectangular distribution
where X is uniformly distribute(3,1)
b=1
a=1
The PMF will be
f(x)=1/b-a
f(x)=1/3-1
f(x)=1/2
f(x)=0.5
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Answers
A distance of (x+1) is cut in from both sides, so the base dimensions are
... 16 -2(x+1) = 14-2x
The depth of the fold is (x+1), so that is the depth of the box.
The volume is ...
... V(x) = (x+1)(14 -2x)²
house in Kenton County, what is the probability the house size is:
a. over 1371 square feet?
O Z=
o probability =
b. under 1296 square feet?
O Z=
o probability =
c. between 773 and 1637 square feet?
o zl =
o Z2 =
o probability =
Note: Z-scores should be rounded to 2 decimal places & probabilities should be
rounded to 4 decimal places.
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Points possible: 8
This is attempt 1 of 3.
Answers
Answer:
(a) The probability that the house size is over 1371 square feet is 0.4483.
(b) The probability that the house size is under 1296 square feet is 0.3974.
(c) The probability that the house size is between 773 and 1637 square feet is 0.9344.
Step-by-step explanation:
We are given that the sizes of houses in Kenton County are normally distributed with a mean of 1346 square feet with a standard deviation of 191 square feet.
Let X = the sizes of houses in Kenton County
The z-score probability distribution for the normal distribution is given by;
Z = ~ N(0,1)
where, = mean size of houses = 1346 square feet
= standard deviation = 191 square feet
(a) The probability that the house size is over 1371 square feet is given by = P(X > 1371 square feet)
P(X > 1371) = P( >
) = P(Z > 0.13) = 1 - P(Z
0.13)
= 1 - 0.5517 = 0.4483
The above probability is calculated by looking at the value of x = 0.13 in the z table which has an area of 0.5517.
(b) The probability that the house size is under 1296 square feet is given by = P(X < 1296 square feet)
P(X < 1296) = P( <
) = P(Z < -0.26) = 1 - P(Z
0.26)
= 1 - 0.6026 = 0.3974
The above probability is calculated by looking at the value of x = 0.26 in the z table which has an area of 0.6026.
(c) The probability that the house size is between 773 and 1637 square feet is given by = P(773 square feet < X < 1637 square feet)
P(773 < X < 1637) = P(X < 1637) - P(X 773)
P(X < 1637) = P( <
) = P(Z < 1.52) = 0.9357
P(X 773) = P(
) = P(Z
-3) = 1 - P(Z
3)
= 1 - 0.9987 = 0.0013
The above probabilities are calculated by looking at the value of x = 1.52 and x = 3 in the z table which has an area of 0.9357 and 0.9987 respectively.
Therefore, P(773 square feet < X < 1637 square feet) = 0.9357 - 0.0013 = 0.9344.
Pls answer this I need the answer now you’ll get 35 points
Answers
67x34=2278
2+3(2278)=y
5(2278) or 5x2278=y
y=11390
Answer:
yeah ^
Step-by-step explanation:
O B. (-2,-1)
O c. (-1,-2)
O D. (1.-2)
Answers
Answer:
the answer is C -1-2 to the equation
Answers
Answer:
2.80
Step-by-step explanation:
Take the cost and divide by the number of padlocks
25.20/9
2.80
Each padlock costs 2.80
Answer:
$2.80
Step-by-step explanation:
25.20 is the total price, and there are 9 padlocks, so to get the price of each padlock, divide 25.20 by 9
25.20/9=2.8
write your answer in dollars: $2.80
Answers
Answer:
I pretty sure its B.
Step-by-step explanation: