00:01
In this problem, it is said that 95 % of internet users are somewhat concerned about the confidentiality of their email.
00:08
Now, we have a random sample of 10 internet users.
00:11
We need to determine the probability that six of them are concerned about the privacy of their email.
00:16
So let us consider random variable x and let this random variable x denote the number of people in that sample who are concerned about the privacy of their email.
00:25
So this random variable x follows a binomial distribution.
00:29
This is because all four conditions for being a binomial distribution are satisfied.
00:38
The first condition is that the number of trials end should be fixed.
00:42
Here we have 10 internet users in the random sample, so the number of trials is 10.
00:47
This is fixed.
00:48
The second condition is that the trials should be independent.
00:50
In this case, they are.
00:51
This is because whether one user is concerned about the privacy of their email does not affect in any way or form, whether the other users are concerned about the privacy of their emails.
01:01
The second condition is thus satisfied...