4) An urn contains 8 balls: 4 orange, 3 red, and 1 green. Two balls are selected without replacement. Find: a) P(both balls are orange) %3D b) P(both balls are green) = %3! c) P(both balls are red): %3D d) P(the first ball is orange and the second is green) = e) P(the first ball is red and the second is orange) =. %3D f) P(one is orange and one is green in any order) =. %3D 5) Let X represent the number of occupants in a randomly chosen car on a certain stretch of highway during morning commute hours. A survey of cars showed that the probability distribution of X is as follows. 1 2 4 P(x) 0.70 0.15 0.10 0.03 0.02 a) Find P(2). b) Find P(More than 3). c) Find the probability that a car has only one occupant. d) Find the probability that a car has fewer than four occupants. e) Compute the mean ux. f) Compute the standard deviation ox.

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I need answer to question 4 and 5 please
4) An urn contains 8 balls: 4 orange, 3 red, and 1 green. Two balls are selected without replacement.
Find:
a) P(both balls are orange) =
b) P(both balls are green) =
c) P(both balls are red) =
d) P(the first ball is orange and the second is green) =
e) P(the first ball is red and the second is orange) =,
f) P(one is orange and one is green in any order) =
5) Let X represent the number of occupants in a randomly chosen car on a certain stretch of highway
during morning commute hours. A survey of cars showed that the probability distribution of X is as
follows.
1
2
3
4
5
P(x)
0.70
0.15
0.10
0.03
0.02
a) Find P(2).
b) Find P(More than 3).
c) Find the probability that a car has only one occupant.
d) Find the probability that a car has fewer than four occupants.
e) Compute the mean Hx.
f) Compute the standard deviation ox.
Transcribed Image Text:4) An urn contains 8 balls: 4 orange, 3 red, and 1 green. Two balls are selected without replacement. Find: a) P(both balls are orange) = b) P(both balls are green) = c) P(both balls are red) = d) P(the first ball is orange and the second is green) = e) P(the first ball is red and the second is orange) =, f) P(one is orange and one is green in any order) = 5) Let X represent the number of occupants in a randomly chosen car on a certain stretch of highway during morning commute hours. A survey of cars showed that the probability distribution of X is as follows. 1 2 3 4 5 P(x) 0.70 0.15 0.10 0.03 0.02 a) Find P(2). b) Find P(More than 3). c) Find the probability that a car has only one occupant. d) Find the probability that a car has fewer than four occupants. e) Compute the mean Hx. f) Compute the standard deviation ox.
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