Answer:
The amplitude is 3.
Step-by-step explanation:
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: Choice C)
(1/30)*(1/29)
Explanation:
Jack has a 1/30 chance of being picked since he is 1 person out of 30 total. After his name is picked, and not put back, there are 30-1 = 29 names left. The chances Jill is picked is 1/29. The two fractions are multiplied to get the overall probability both are picked.
How many times does (4) go into (37) ? 9 TIMES.
Remainder 1.
So as a mixed number would be 9 whole number, 1/4
= (9 1/4)
Answer:
The best way of writing this answer in an inequality pattern is 50 ≤ x ≥ 70
Step-by-step explanation:
The variable "x" is said to be greater than or equal to 50, that means that x could be 50, 51, 52, 53, 54......to infinity, all these values are true for x.
The second solution said x is greater or equal to 70. This also means that x could be 70, 71, 72, 73, ......... to infinity.
The inference that can be drawn from here is that x actually started from 50, so anything lesser than 50 is lesser than x, so 50 ≤ x. We can join the two answers together to get a range in a form like: 50 ≤ x ≥ 70