George Martin loves The Beatles. Honestly, who doesn’t? On George’s favorite Spotify playlist, 40% of the songs are by The Beatl
1 answer:
Answer:
17.5%
Step-by-step explanation:
First of all, see this situation as a cumulative binomial distribution. You have isolated trials with a probability of success. This makes it binomial. The wording of the question "what is the probability of at least half..." makes this cumulative.
There are a few ways to calculate this, and I'm not quite sure which way you're familiar with. I'll show the cumbersome way and use wolfram to make the calculation.
First, I'll calculate the probability for 15 success, given 30 trials.
30c15*0.4^15*0.6^15
Since the question asks for the probability of at least 15 success, I'll have to make a calculation for the probability of 16 successes, then 17, and so on. Then I'll have to add all the probabilities together. So, I'll use wolfram for that (see attached)
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Answer:
Step-by-step explanation:
The first thing you ought to do is find out what you are trying to get. Desmos is an ideal program to do that if you don't have a graphing calculator. Just search for Desmos. It is pretty obvious once you get there. I've enclosed the graph to show you what it looks like.
Notice what happens around 5. The graph splits because effectively, you are dividing by 0 when you put 5 into the denominator. The question arises why doesn't the same thing happen at 0. It should: There is a discontinuity but it is very tiny. So the domain numbers that you should graph are
-1 0™ 1 2 3 4 4.5 4.8 5.3 5.4 6 7
™I wouldn't make 0 a part of this domain. But you can indicate with a dot where the graph goes.
I haven't filled in the range numbers. That's your job. All you have to do is fill in the table with points. Or you can put them on the graph that I have enclosed just to see where they points belong.
A graph is not to convey accuracy. It is to show the shape of function in question.
