00:01
Hello student, it is given that ln for loads of dry bread distributed to a local store by certain bakery is normally distributed.
00:11
So here first we have to find out some probabilities.
00:14
So here first we calculate x bar.
00:17
So here x bar is sum of all observations.
00:20
So here 70617 .06 divided by 30.
00:27
We have 30 observation which is equal to 2353 .90.
00:34
Now here we consider it as mu that is 2353 .90.
00:44
Now here we have to calculate a value of population standard deviation, which is denoted as sigma square.
00:52
So here summation of xi minus x bar square divided by now solving and substituting the values.
01:04
It will give us the value of sigma which is equal to 8684 .70.
01:12
Now in the first bit we have to find out what is the probability that on average loads longer than 35 .525.
01:21
So here probability of x is greater than 35 .525.
01:29
So here 35 .525 minus 2353 .90 divided by 8684 .17 which is equal to minus 0 .26.
01:54
Therefore probability of z greater than minus 0 .26.
02:01
So here probability is equal to 0 .3974...