Answer:
(a) 0.2896 (b) 0.5029 (c)0.5758 (d)In this case they are dependent because the gender is segregated as social media user or not as asocial media worker. the probability and variable is tied to it
Explanation:
Solution
(a)In a survey of 1,364 people, 395 were females who used social media and 232 did not. of males 232 use social media and 355 did not
To make or develop a probability table, take each group and divide their number by their total for example female that use social media is 395 of a total of 1364
395/1364 =0.2896
The probability that a woman uses social media in the survey is 0.2896
so,
A B T
Female 0.2896 0.2133 0.5029
Male 0.2368 0.2603 0.4971
Total 0.5264 0.4736 1.00
(b) To find the probability of a surveyed person being a female, we divivde the total number of females by the whole number, shown below
686/1364 = 0.5029
(c)Conditional probability is defined using the formula which is shown below:
P(A/B) = P(A∩B)/P(B)-------(1)
Where P(A∩B) is the probability of females that use social media 0.2896 and P(B) is the total female probability which is 0.5029
Now we substitute the values in the equation 1 and calculate the probability as shown below:
P(A/B) = 0.2896/0.5029 =0.5758
the conditional probability that are surveyed person is female and uses social media is 0.5758
(d) In this case they are dependent because the gender is segregated as social media user or not as asocial media worker. the probability and variable is tied to it
