00:01
Hello, let's have a look on the question.
00:02
So it is given to us that mu, that is me, is equal to 75.
00:06
And the standard deviation sigma is equal to 8 .3.
00:11
So for the a part, here we are using normal probability distribution, normal distribution.
00:24
So probability that x will be greater than equal to 90 will be equal to probability that x minus mu divided by sigma is greater than, now we can put all the values for x, mu and sigma.
00:41
So this is 90 minus mu is 75 divided by 8 .3.
00:46
So this will be equal to, this is the value of z.
00:49
So probability z is greater than 1 .81.
00:53
This will be equal to 0 .0352.
00:57
This value is from z table.
01:04
Next, b part by using binomial distribution.
01:13
Binomial distribution.
01:18
So, px for binomial distribution is given by the formula ncx, p to the power x, q to the power n minus x...