Find the cumulative distribution function of the random variable X. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or simplified fractions.) OA. O B. C. for x< 0 for x<0 for x<0 F(x) = for 0sx<2 for 0 2 for x 22 (a) Which of the following is equal to P(X = 1)? O A. F(1) О В. F(1)- F(0) ОС. 1-F(1) O D. F(0) + F(1) P(X= 1) =D(Type an integer or a simplified fraction.) (b) Which of the following is equal to P(0

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A shipment of 8 television sets contains 2 defective sets. A hotel makes a random purchase of 3 of the sets. The probability distribution of X, where x is the number of
defective sets purchased by the hotel, is shown below. Find the cumulative distribution function of the random variable X. Then, using F(x), find (a) P(X = 1); (b)
P(0 <xs2).
1
2
5
15
3
f(x)
14
28
28
Find the cumulative distribution function of the random variable X. Select the correct choice below and fill in the answer boxes to complete your choice.
(Type integers or simplified fractions.)
O A.
OB.
OC.
for x<0
for x<0
for x<0
F(x) =
for 0sx<2
for 0 <x<1
for 0sx<1
F(x) =.
F(x) =
for x22
for 1<x<2
for 1sx<2
for x> 2
for x22
(a) Which of the following is equal to P(X = 1)?
O A. F(1)
O B. F(1) - F(0)
ОС. 1-F(1)
O D. F(0) + F(1)
P(X = 1) = (Type an integer or a simplified fraction.)
(b) Which of the following is equal to P(0 <xs 2)?
O A. F(0) + F(2)
O B. F(1) + F(2) – F(0)
ОС. F(2)
O D. F(2) - F(0)
P(0 <xs2) = (Type an integer or a simplified fraction.)
Transcribed Image Text:A shipment of 8 television sets contains 2 defective sets. A hotel makes a random purchase of 3 of the sets. The probability distribution of X, where x is the number of defective sets purchased by the hotel, is shown below. Find the cumulative distribution function of the random variable X. Then, using F(x), find (a) P(X = 1); (b) P(0 <xs2). 1 2 5 15 3 f(x) 14 28 28 Find the cumulative distribution function of the random variable X. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or simplified fractions.) O A. OB. OC. for x<0 for x<0 for x<0 F(x) = for 0sx<2 for 0 <x<1 for 0sx<1 F(x) =. F(x) = for x22 for 1<x<2 for 1sx<2 for x> 2 for x22 (a) Which of the following is equal to P(X = 1)? O A. F(1) O B. F(1) - F(0) ОС. 1-F(1) O D. F(0) + F(1) P(X = 1) = (Type an integer or a simplified fraction.) (b) Which of the following is equal to P(0 <xs 2)? O A. F(0) + F(2) O B. F(1) + F(2) – F(0) ОС. F(2) O D. F(2) - F(0) P(0 <xs2) = (Type an integer or a simplified fraction.)
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