A survey of cars on a certain stretch of highway during morning commute hours showed that 70% had only one occupant, 15% had 2, 10% had 3, 3% had 4, and 2% had 5. Let Xrepresent the number of occupants in a randomly chosen car.a. Find the probability mass function of X.
b. Find P(X ≤ 2).
c. Find P(X > 3).
d. Find μX.
e. Find σX
Answers
Answer:
a) X 1 2 3 4 5
P(X) 0.7 0.15 0.10 0.03 0.02
b)
c)
d)
e)
Step-by-step explanation:
Part a
From the information given we define the probability distribution like this:
X 1 2 3 4 5
P(X) 0.7 0.15 0.10 0.03 0.02
And we see that the sum of the probabilities is 1 so then we have a probability distribution
Part b
We want to find this probability:
Part c
We want to find this probability
And for this case we can use the complement rule and we got:
Part d
We can find the expected value with this formula:
Part e
For this case we need to find first the second moment given by:
And we can find the variance with the following formula:
And we can find the deviation taking the square root of the variance:
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-2(bx-5)=16 what is the value of x in terms of b and what is the value of x when b is 3?
You go to school in a college town. You know that there are 2000 students enrolled in the school, but you don’t know the population of the town (without students). You walk up and down the main streets of the town, stop people, and ask them if they are students or not. You ask 100 people, and 60 of them say they are students. Estimate the nonstudent population of the town.
Answers
The area of the circle is 379.94 square inches.
What is area of a circle?
The area of a circle is the space occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr², where r is the radius of the circle.
Given that, the area of a circle with a radius of 11 inches.
Here, area of a circle is
A=3.14×11²
= 3.14×121
= 379.94 square inches
Therefore, the area of the circle is 379.94 square inches.
Learn more about the area of a circle here:
brainly.com/question/28642423.
#SPJ5
Answer:
A = 379.94 square inches
Step-by-step explanation:
The area of a circle equation is:
A = pi * r^2
Fill in what you know and solve:
A = 3.14 * 11^2
A = 3.14 * 121
A = 379.94
Answers
Answer:
0.430625 = 0.431
Step-by-step explanation:
Let W represent winning, D represent a draw and L represent a loss.
12+ points can be garnered in each of the following ways.
6W 0D 0L
5W 1D 0L
5W 0D 1L
4W 2D 0L
4W 1D 1L
4W 0D 2L
3W 3D 0L
The probability of getting 12+ points is the sum of all these 7 probabilities.
Knowing that P(W) = 0.5
P(D) = 0.1
P(L) = 0.4
P(6W 0D 0L) = [6!/(6!0!0!)] 0.5⁶ 0.1⁰ 0.4⁰ = 0.015625
P(5W 1D 0L) = [6!/(5!1!0!)] 0.5⁵ 0.1¹ 0.4⁰ = 0.01875
P(5W 0D 1L) = [6!/(5!0!1!)] 0.5⁵ 0.1⁰ 0.4¹ = 0.075
P(4W 2D 0L) = [6!/(4!2!0!)] 0.5⁴ 0.1² 0.4⁰ = 0.09375
P(4W 1D 1L) = [6!/(4!1!1!)] 0.5⁴ 0.1¹ 0.4¹ = 0.075
P(4W 0D 2L) = [6!/(4!0!2!)] 0.5⁴ 0.1⁰ 0.4² = 0.15
P(3W 3D 0L) = [6!/(3!3!0!)] 0.5³ 0.1³ 0.4⁰ = 0.0025
The probability of getting 12+ points = 0.015625 + 0.01875 + 0.075 + 0.09375 + 0.075 + 0.15 + 0.0025 = 0.430625
Answers
Answer:
let integers be x,2x, 3x respectively
x+2x+3x= 267
6x= 267
x=267/6= 44.5
2x= 44.5*2= 89
3x= 44.5*3= 133.5
largest integer = 133.5
hope it helps
plz mark as brainliest
Answers
Answer:
The imaginary part is: z = 19
Step-by-step explanation:
For real numbers a and b, a number written in form a+bi is called a acomplex number. The value a is called the real part and b is called the imaginary part of complex number.
Answers
Answer: 86%
Step-by-step explanation:
430/500=0.86
0.86x100= 86
86%
Answer:
86%
Step-by-step explanation:
Answers
i don't know specifically what you are looking for but:
Direction: Opens Up
Vertex: (1, -1)
Axis of Symmetry: x = 1
and i attached the graph
Answer: x = √(((-F - 4)^2)/16 - 1/2) + (F + 4)/4 or x = (F + 4)/4 - √(((-F - 4)^2)/16 - 1/2)
Step-by-step explanation:
Solve for x:
F x = 2 x^2 - 4 x + 1
Subtract 2 x^2 - 4 x + 1 from both sides:
-2 x^2 + F x + 4 x - 1 = 0
Collect in terms of x:
-1 + x (F + 4) - 2 x^2 = 0
Divide both sides by -2:
1/2 + 1/2 x (-F - 4) + x^2 = 0
Subtract 1/2 from both sides:
1/2 x (-F - 4) + x^2 = -1/2
Add 1/16 (-F - 4)^2 to both sides:
1/16 (-F - 4)^2 + 1/2 x (-F - 4) + x^2 = 1/16 (-F - 4)^2 - 1/2
Write the left hand side as a square:
(1/4 (-F - 4) + x)^2 = 1/16 (-F - 4)^2 - 1/2
Take the square root of both sides:
1/4 (-F - 4) + x = √(1/16 (-F - 4)^2 - 1/2) or 1/4 (-F - 4) + x = -√(1/16 (-F - 4)^2 - 1/2)
Subtract 1/4 (-F - 4) from both sides:
x = √(((-F - 4)^2)/16 - 1/2) + (F + 4)/4 or 1/4 (-F - 4) + x = -√(1/16 (-F - 4)^2 - 1/2)
Subtract 1/4 (-F - 4) from both sides:
Answer: x = √(((-F - 4)^2)/16 - 1/2) + (F + 4)/4 or x = (F + 4)/4 - √(((-F - 4)^2)/16 - 1/2)