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Sedbober [7]
1 year ago
5

A stack of magazines is 4 & 2/5 inches high. Each magazine is 2/5 inch thick. How many magazines are in the stack

Mathematics
1 answer:
Oliga [24]1 year ago
4 0

Answer:

11 magazines

Step-by-step explanation:

4 & 2/5 = 22/5

22/5 divided by 11 = 4 2/5

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26

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How many different orders can three students be selected from 10?
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That would be the number of permutations of 3 from 10.

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Varvara68 [4.7K]

Answer:

X \sim Binom(n=10, p=0.3)

And for this case we want to find this probability:

P(X =2)

And we can use the probability mass function and we got:

P(X=2)=(10C2)(0.3)^2 (1-0.3)^{10-2}=0.233

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=10, p=0.3)

And for this case we want to find this probability:

P(X =2)

And we can use the probability mass function and we got:

P(X=2)=(10C2)(0.3)^2 (1-0.3)^{10-2}=0.233

4 0
2 years ago
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