Using the binomial distribution, it is found that you could expect the product to be a multiple of 6 about 39 times.
For each trial, there are only two possible outcomes, either the result is a multiple of 6, or it is not. The result of each trial is independent of any other trial, hence the <em>binomial distribution</em> is used to solve this question.
<h3>What is the binomial probability distribution?</h3>
It is the probability of exactly <u>x successes on n repeated trials, with p probability </u>of a success on each trial.
The expected value of the binomial distribution is:
In this problem:
- When two cubes are tossed and their products multiplied, there are 36 possible outcomes. Of those, (1,6), (2,3), (2,6), (3,4), (3,6), (4,3), (4,6), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6), that is, 14 result in a multiplication multiple of 6, hence p = 14/36.
- There will be 100 trials, hence n = 100.
Then, the <em>expected value</em> is given by:
Rounding up, you could expect the product to be a multiple of 6 about 39 times.
More can be learned about the binomial distribution at brainly.com/question/24863377
Multiply 5/7 by 2 to get 10/14.
The speed of the water in the 3 feet radius is 25 feet per second.
Answer:
Option B) 18 is the correct answer.
Step-by-step explanation:
Let n(A) be the shoppers who purchased at an online store
Let n(B) be the shoppers who purchased at a locally-owned store
Let n(C) be the shoppers who purchased at a big-box store
n(A ∩ B) is the shoppers who purchased at an online store and at a locally-owned store
n(B ∩ C) be the shoppers who purchased at a locally-owned store and at a big-box store
n(C ∩ A) is the shoppers who purchased at an online store and at a locally-owned store and at an online store
From the Venn diagram,
n(A) = 109
n(B) = 34
n(C) = 107
n() = 38
n(B ∩ C) = 17
n(C ∩ A) = 57
On Comparing the Venn Diagrams, we could find that shoppers made a purchase at an online store, a locally-owned store, and a big-box store [n( A ∩ B∩ C)] = 18
The sampling technique used is Simple Random Sampling option fourth would be the best choice.
<h3>What is simple random sampling?</h3>
Simple random sampling is a sampling strategy in which every item in the population has an equal probability of being chosen for the sample.
Simple random sampling selects a sample of objects at random from a population, with each item having an equal chance of being chosen.
Simple random sampling selects items for its sample from a table of random numbers or an electronic random number generator.
Thus, the sampling technique used is Simple Random Sampling option fourth would be the best choice.
Learn more about the simple random sampling here:
brainly.com/question/13219833
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