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iogann1982 [59]
2 years ago
3

at a car and truck dealership, the probability that a vehicle is white is 0.25. the probability that it is a van is 0.09. the pr

obability that it is a white van is 0.04. what is the probability that a vehicle is white, given that the vehicle is a van
Mathematics
2 answers:
Anna [14]2 years ago
5 0

Answer:

0.04

Step-by-step explanation:

It's literally in the question

inysia [295]2 years ago
5 0

Answer:0.44

Step-by-step explanation:

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6.5% of people in the U.S. Have A- blood type. You randomly select 6 Americans and ask them if their blood type is A-. a) Find t
Keith_Richards [23]

Answer:

a) 7.54189*10^-8

b) 0.99999999

c) E ( X ) = 0.39 , s ( X ) = 0.604

Step-by-step explanation:

Solution:-

- We will assume the proportion of people with A- blood group is independent and remains constant for a fairly small sample of n = 6 Americans selected at random.

- We will denote a random variable X = The number of americans out of 6 that have blood group type A-.

- The random variable is assumed to follow binomial distribution.

- The probability of success is the proportion of people in U.S that have blood group type A-, p = 0.065:

                        X ~ Bin ( 6 , 0.065 )

Where, r represents the number of americans out of selected 6 have blood group A-. The pmf of a binomial variate is given as:

                       P ( X = r ) = nCr * ( p ) ^r * ( 1 - p ) ^ ( n - r )

a) Find the probability that all 6 are type A-

- We will pmf given above and set r = 6. And evaluate the resulting probability:

                     P ( X = 6 ) = 6C6 * ( p )^6 * ( 1  - p ) ^ ( 0 )

                                      = p^6

                                      = ( 0.065 )^6  

                                      = 7.54189*10^-8

b) Find the probability that at most 4 of them are type A-

- We will pmf given above and evaluate the following expression:

                     P ( X ≤ 4 ) = 1 - P ( X = 5 ) - P ( X = 6 )

                     P ( X ≤ 4 ) = 1 - 6C5 * ( p )^5 * ( 1  - p ) ^ ( 1 ) - p^6

                                      = 1 - 6*(0.065)^5 ( 0.935 ) - 0.065^6

                                      = 1 - 6.50923*10^-8 - 7.54189*10^-8        

                                      = 0.99999999          

c) Find the mean and standard deviation.

- The mean E ( X ) of the defined random variable distributed binomially is given by:

                     E ( X ) = n*p = 6*0.065 = 0.39 people

- The mean s( X ) of the defined random variable distributed binomially is given by:

   

                    s ( X ) = √n*p*q = √(6*0.065*0.935) = 0.604

5 0
2 years ago
A water wheel has a radius of 4 feet and the bottom of the wheel is 1 foot from the ground. One plank is painted white and it st
Inessa [10]

Answer:

The height of the plank after the π/3 rotation motion is 8.464 ft

Step-by-step explanation:

The radius of the wheel = 4 ft

The elevation of the bottom of the wheel from the bottom = 1 foot

The angle to which the wheel is rolled = π/3 radians

The height of a rotating wheel is given by the following relation

f(t) = A·sin(B·t + C) + D

Where;

D = Mid line =  4 + 1 = 5 feet

B·t = π/3

C = 0

A = The amplitude = 4

Which gives;

f(t) = 4×sin(π/3) + 5 = 8.464 ft

The height of the plank after the π/3 rotation motion = 8.464 ft.

8 0
2 years ago
Read 2 more answers
two friends went rowing on the river. they traveled with current for 3 hours. the way back took them 4 hours and 48 minutes. fin
N76 [4]

Answer:

1.5 mph

Step-by-step explanation:

The speed in the still water = 6.5 mph.

The speed of the current = x mph.

1. Two friends traveled with current for 3 hours. The speed with the current is 6.5 + x mph, so they traveled 3(x+6.5) miles.

2. Two friends traveled against the current for 4 hours and 48 minutes that is 4\dfrac{4}{5}=4.8 hours. The speed against the current is 6.5 - x mph, so they traveled 4.8(6.5-x) miles.

They traveled the same distance with the current and against the current, hence,

3(x+6.5)=4.8(6.5-x)

Solve this equation:

3x+19.5=31.2-4.8x\\ \\3x+4.8x=31.2-19.5\\ \\7.8x=11.7\\ \\x=1.5\ mph

4 0
2 years ago
What is 27 players for 12 spots expressed as a rate?
Anika [276]

Answer:

9 p 4 s

Step-by-step explanation:

That's the answer.

4 0
2 years ago
There are three letter tiles—A, B, and C—in a bag; and there are three number tiles—1, 2, and 3—in another bag. Alexis picks a l
sdas [7]
If she picks the letter A, she can then pick either 1 , 2 or 3
If she picks B, she can pick 1, 2, or 3 and so on.

 See attached picture for the sample space :

5 0
2 years ago
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