00:02
Usa today estimated 70 % of college students receive spending money from their parents while they are away from home attending college.
00:15
In a sample of 100 college students, what's the probability exactly 70 are receiving money from their parents? that's 100 combination 70 times 0 .7 to the 70 power times 0 .3 to the 30 power.
00:36
That would be 0 .0868.
00:39
8.
00:41
What's the probability that less than 70? now we could use a normal approximation to a binomial for this since n times p is greater than 7 and n times 1 minus p is also greater than 7, so not greater than 10.
01:00
It's also greater than 10.
01:02
You could also use the cumulative feature on your graphic calculator.
01:08
So we could enter in 100 .7 for p and then for our x value since it's less than 70 then we would put in for our x value 69 and our calculator is going to calculate all of the probabilities below 70 and add them together so 0 .4509 and then we could do the same thing for greater than 70.
01:35
So more than 70 students are receiving money.
01:40
So in this case we would do 1 minus the probability that x is less than or equal to 70.
01:47
So this will be a little, we can't just do 1 minus 0 .4509 because in this case 70 will be included.
01:56
So we'll go back into our cumulative binomial distribution, and this time our x value will be 70.
02:06
And so it'll be 1 minus 0 .5377.
02:12
So our probability will be 0 .4623.
02:15
Now if you do a normal approximation to the binomial, you'll probably get slightly different answers than this.
02:20
So it just depends on which format you're planning to use.
02:24
For question three, an increasing number of consumers believe that they have to look out for themselves in the marketplace.
02:30
So here we have a proportion of 60 % have called the information line for a product...