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ycow [4]
2 years ago
14

Find the indicated probability by using the complementation rule. A percentage distribution is given below for the size of famil

ies in one U.S. city. Size Percentage 2 39.9 3 24.4 4 20.1 5 10.8 6 3.3 7 1.5 A family is selected at random. Find the probability that the size of the family is 4 or more. Round results to three decimal places.
a. 0.156
b. 0.844
c. 0.357
d. 0.201
Mathematics
1 answer:
arlik [135]2 years ago
7 0

Answer:

The correct option is c.

Step-by-step explanation:

The percentage probability distribution is:

Size (X)      Percentage

 2                   39.9

 3                   24.4

 4                   20.1

 5                   10.8

 6                    3.3

 7                     1.5

Total             100.0

Compute the probability that the size of the family is 4 or more as follows:

P (X ≥ 4) = P (X = 4) + P (X = 5) + P (X = 6) + P (X = 7)

              = 0.201 + 0.108 + 0.033 + 0.015

              = 0.357

Thus, the probability that the size of the family is 4 or more is 0.357.

The correct option is c.

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1 In general, given

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3

(

y

−

54

+

(

−

54

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2

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×

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y

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20

3

ı

6

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(

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−

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ı

6

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

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

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2.

3

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y

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(

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10

3

ı

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6

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(

y

−

54

−

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)

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(

27

+

10

3

ı

)

6

6

2(27+10

3

​

)

​

to

27

+

10

3

ı

3

3

27+10

3

​



​

.

3

(

y

−

27

+

10

3

ı

3

)

(

y

−

54

−

20

3

ı

6

)

3(y−

3

27+10

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

​

)(y−

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54−20

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

​

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3

(

y

−

27

+

10

3

ı

3

)

(

y

−

2

(

27

−

10

3

ı

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6

)

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)

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27

−

10

3

ı

)

6

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)

​

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10

3

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3

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(

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10

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ı

3

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3(y−

3

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

​

)(y−

3

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3

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