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3 years ago

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Find the least common factor of 2 and 7

1 answer:

Contact [7]3 years ago

7 0

2 is 1 and 7 is 1 no idea if i'm right someone explain this to me

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Construct the discrete probability distribution for the random variable described. Express the probabilities as simplified fract

lisov135 [29]

Answer:

$P(X = 0) = 0.03125$

$P(X = 1) = 0.15625$

$P(X = 2) = 0.3125$

$P(X = 3) = 0.3125$

$P(X = 4) = 0.15625$

$P(X = 5) = 0.03125$

Step-by-step explanation:

For each toss, there are only two possible outcomes. Either it is tails, or it is not. The probability of a toss resulting in tails is independent of any other toss, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Fair coin:

Equally as likely to be heads or tails, so $p = 0.5$

5 tosses:

This means that $n = 5$

Probability distribution:

Probability of each outcome, so:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{5,0}.(0.5)^{0}.(0.5)^{5} = 0.03125$

$P(X = 1) = C_{5,1}.(0.5)^{1}.(0.5)^{4} = 0.15625$

$P(X = 2) = C_{5,2}.(0.5)^{2}.(0.5)^{3} = 0.3125$

$P(X = 3) = C_{5,3}.(0.5)^{3}.(0.5)^{2} = 0.3125$

$P(X = 4) = C_{5,4}.(0.5)^{4}.(0.5)^{1} = 0.15625$

$P(X = 5) = C_{5,5}.(0.5)^{5}.(0.5)^{0} = 0.03125$

5 0

2 years ago

Could someone help me plz

AfilCa [17]

Answer:

I think it’s c

Step-by-step explanation:

8 0

3 years ago

An organism that feeds upon primary consumers is known as a _______.

Snezhnost [94]

It's known as a heterotroph. They can't make their own food.

4 0

3 years ago

A cake recipe calls for 4 cups of flour and 2 cups of sugar.

Natalka [10]

Answer:

The unit rate is 2 cups of flour per cup of sugar.

Step-by-step explanation:

6 0

3 years ago

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On a certain day, the exchange rate was 60 U.S. dollars for 50 euro. How many U.S. dollars were 80 euro worth that day?

fgiga [73]

Answer: 90 U.S. dollars

If 60 U.S. dollars represwnt 50 euros, we will add.

80 euros represent 90 dollars because: there are 10 more euros than dollars.

Hope this helps!

6 0

3 years ago

Read 2 more answers