4.21 The random variable x has the following discrete probability distribution: x p(x) 10 .2 13 120 11 .3 22 12 13 .2 .1 12 14 .2 Since the values that x can assume are mutually exclusive events, the event {x 12} is the union of three mutually exclusive events: {x = 10} U {x = 11} U {x = 12} a. Find P(x 12). b. Find P(x > 12). c. Find P(x 14). d. Find P(x = 14). e. Find P(x 11 or x >12).

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Help me solve d) and e)

4.21 The random variable x has the following discrete probability
distribution:
x
p(x)
10
.2
13
120
11
.3
22
12
13
.2
.1
12
14
.2
Since the values that x can assume are mutually exclusive
events, the event {x 12} is the union of three mutually
exclusive events:
{x = 10} U {x = 11} U {x = 12}
a. Find P(x
12).
b. Find P(x > 12).
c. Find P(x 14).
d. Find P(x = 14).
e. Find P(x
11 or x >12).
Transcribed Image Text:4.21 The random variable x has the following discrete probability distribution: x p(x) 10 .2 13 120 11 .3 22 12 13 .2 .1 12 14 .2 Since the values that x can assume are mutually exclusive events, the event {x 12} is the union of three mutually exclusive events: {x = 10} U {x = 11} U {x = 12} a. Find P(x 12). b. Find P(x > 12). c. Find P(x 14). d. Find P(x = 14). e. Find P(x 11 or x >12).
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