00:01
So we have our first question is for this basketball player, who's going to shoot 24 shots from the field and has a 26 % chance of hitting.
00:08
In order to use a binomial situation, what would be the assumption you would need to make? and you would want to use letter a, that assume all shots have a 26 % accuracy and that they're independent.
00:24
And so that's pretty reasonable if you're playing a lot.
00:28
So you would use letter a.
00:29
Now for part b, part b asks, how many baskets would you expect the person to make? and if x stands for the number made, our expected number, expected number of x, which is also called the mean of x, is n times p.
00:51
So we need to take the 24 times 0 .26.
00:56
And 24 times 0 .26 is a mean of 6 .24.
01:05
Now don't round that off, that is the mean.
01:09
Now on part c, part c asks, if a player hits more than 11 shots, should you be surprised? so we would want to find the probability of having more than 11 shots, so greater than or equal to 12.
01:26
And i'm going to use my binomial cdf to help me find that, binomial cdf.
01:32
And i'm going to put in 24.
01:34
And the answer would be yes, we only expect six, but i can actually find that probability in 0 .26.
01:42
And then we're going to go 11 and fewer...