Question

A random variable X has the probability distribution :
X
1
2
3
4
5
6
7
8
P(x)
0.15
0.23
0.12
0.10
0.20
0.08
0.07
0.05
For the events E = {X is a prime number} and F={X < 4}, the probability P(E ∪ F) is........,Select Proper option from the given options.
(a) 0.35
(b) 0.77
(c) 0.87
(d) 0.50

Answer 1

I hope your answer is B

Answer 2

Answer:

P(E ∪ F) = 0.77

Step-by-step explanation:

E = {X is a prime number}

=> E = { 2 , 3 , 5 , 7}

F={X < 4},

=> F = { 1 , 2 , 3}

E ∪ F = { 1 , 2 , 3 , 5 , 7 }

P(E ∪ F) = P(1) + P(2) }+ P (3) + P(5) + P(7)

=> P(E ∪ F) = 0.15 + 0.23 + 0.12 + 0.2 + 0.07

= 0.77

P(E ∪ F) = 0.77