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posledela
3 years ago
13

A car dealership has various combinations of vehicles in their car lot, all of which have an equally likely change of being sele

cted. Use the list of the options below to determine the probability of each vehicle being selected.
Mathematics
1 answer:
Effectus [21]3 years ago
7 0

Answer:

The probability of a car being selected will be given by :the number of car required/ the total number of cars

Step-by-step explanation:

Probability is the likelihood of an event occurring.

This is given by : number of required outcome/number of possible outcome

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A certain brand of dinnerware set comes in three colors: red, white, and blue. Twenty percent of customers order the red set, 45
denis23 [38]

Answer:

a) 0.20

b) 0.45

c) 0.65

d) Yes

e) Yes

f) Z = X + Y (except when X = 1 and Y = 1)

This is because the successes of X and Y are mutually exclusive events but their failures aren't. X and Y cannot both be 1.

Step-by-step explanation:

Probability of a red set = 20% = 0.20

Probability of a white set = 45% = 0.45

Probability of a blue set = 35% = 0.35

Probability of the single set being a red or white set = 20% + 45% = 65% = 0.65

P(X=1) = 0.20, P(X=0) = 1 - 0.2 = 0.80

P(Y=1) = 0.45, P(Y=0) = 1 - 0.45 = 0.55

P(Z=1) = 0.65, P(Z=0) = 1 - 0.65 = 0.35

a) pX = P(X=1) = 0.20

b) pY = P(Y=1) = 0.45

c) pZ = P(Z=1) = 0.65

d) Since only one order is being considered at a time, it isn't possible to order red & white set in a single set, hence, both X and Y cannot both be successes (equal to 1) at the same time. But they can both be failures (both equal to 0) if a blue set is ordered. The successes of X and Y are mutually exclusive events but their failures aren't

e) Is pZ = pX + pY

pX = 0.2, pY = 0.45, pZ = 0.65

Hence, this statement is correct!

f) Z = X + Y

Let's check all the probabilities

when X = 1 and Y = 1, Z = 1

1 ≠ 1 + 1

when X = 0 and Y = 1, Z = 1

1 = 0 + 1

when X = 1 and Y = 0, Z = 1

1 = 1 + 0

when X = 0 and Y = 0, Z = 0

0 = 0 + 0

Hence, Z = X + Y (except when X = 1 and Y = 1)

This is because the success of X and Y are mutually exclusive events but their failures aren't.

8 0
3 years ago
If measure OQ = 84 and measure NP = 42, what is measure angle M?
Ad libitum [116K]
B)26 is the answer for the question
5 0
3 years ago
Place on,number line
Alex
A goes between -1 and -1/2
8 0
3 years ago
Read 2 more answers
How do make -29 a fraction?
gtnhenbr [62]
-29 into a fraction = -29/1.

to make a whole number into a fraction, just put it over 1
6 0
3 years ago
If pentagon OPQRS is dilated by a scale factor of seven over four from the origin to create O'P'Q'R'S', what is the ordered pair
Mariulka [41]

Answer:

The ordered pair of P'=(-8.75, 5.25)

Step-by-step explanation:

To get the ordered pair of point P' you simply have to multiply the coordinates of P by scale factor of 7/4

P:(-5,3)

P'(x,y)= (-5* 7/4, 3*7/4)

P'(x,y) = (-35/4 , 21/4)

P'(x,y) = (-8.75, 5.25)..

Thus the ordered pair of P'=(-8.75, 5.25)....

5 0
3 years ago
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