Given:
long stick: 3 4/5 feet
short stick: 3 1/2 feet
convert mix fractions into improper fractions:
3 4/5 = (3*5)+4/5 = 19/5 long stick
3 1/2 = (3*2)+1/2 = 7/2 short stick
19/5 - 7/2 ⇒ (19/5 * 2/2) - (7/2 * 5/5) = 38/10 - 35/10 = (38 - 35)/10 = 3/10
3/10 feet should be cut from the longer stick so that the two walking sticks will be the same length.
3 4/5 ft = 45.6 inches long stick
3 1/2 ft = 42 inches short stick
3/10 ft = 3.6 inches to be cut from long stick
45.6 inches - 3.6 inches = 42 inches
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:
Step-by-step explanation:
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- Men Married.

Hope this helps :)