Using the binomial distribution, it is found that there is a 0.0328 = 3.28% probability that at least 2 of them choose the same quote.
<h3>What is the binomial distribution formula?</h3>
The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem, we have that:
- There are 6 students, hence n = 6.
- There are 20 quotes, hence the probability of each being chosen is p = 1/20 = 0.05.
The probability of one quote being chosen at least two times is given by:
In which:
P(X < 2) = P(X = 0) + P(X = 1).
Then:
Then:
P(X < 2) = P(X = 0) + P(X = 1) = 0.7351 + 0.2321 = 0.9672.
0.0328 = 3.28% probability that at least 2 of them choose the same quote.
More can be learned about the binomial distribution at brainly.com/question/24863377
Answer:
sin^2(45) = (√2/2)^2 = 1/2
Step-by-step explanation:
sin2x = sin2 * x = 0.909x
sin(2(45)) = sin90 = 1
Hope this helps.
Answer:
The negative net worth mean her liabilities are larger than her assets.
Step-by-step explanation:
- Angela's calculation of net worth:
Net Worth = $435 - $560 = - $125
- Net worth is the difference in assets and debt. If the net worth is negative it means that debt is greater than assets.
- The same thing is in Angela's case. Her debt or liability is greater than total assets hence making her net worth negative.
- Her liability is still $125 greater than all of her assets added upon.
Since 5/3 is an inproper fraction it then becomes 1 2/3 and if you put both of the fractions into a common denominator you get 1 16/24>15/24
Please give me a thanks if you feels it is the right answer