Answer:
a) 0.5 is the probability of students who selected the stated option.
b) =0.8 is the probability of students who choose the stated option.
c) E(x) = P(x) x n
= [(5) + (8)]x 1/10
= 13/10
Step-by-step explanation:
Solution:
Number of students assigned to guilty state = 57
Number of students choose stated option = 45
Randomly Selected students =10
a) Find p(x=5)
x is the number in a sample of 10, who choose the stated option.
Sample number p(s) = 10
P(x) = 5
Probability = p(x) / p(s)
= 5/ 10
=0.5
0.5 is the probability of students who selected the stated option.
(b) Find p(x=8)?
Sample number p(s) = 10
P(x) = 8
Probability = p(x) / p(s)
= 8/ 10
=0.8 is the probability of students who choose the stated option.
(c) Expected (mean) value of x?
The expected value can be calculated by multiplying the probability of an event by the event's amount of times.
E(x) = P(x) x n
= [(5) + (8)]x 1/10
= 13/10