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sleet_krkn [62]
3 years ago
12

A Stegosaurus eats six and two fifths big leaves for breakfast and three and one fifth big leaves for lunch. How many leaves did

the Stegosaurus eat in all?

Mathematics
2 answers:
Mkey [24]3 years ago
7 0

Answer:

9 and 3/5

Step-by-step explanation:

Nine and Three Fifths

kow [346]3 years ago
3 0
The answer is 9 3/5.
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A triangle has angles measuring 25° and 45°. What is the measure of the triangle's third angle?
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The answer to this question is B

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Give the numerical value of the parameter p in the following binomial distribution scenarioA softball pitcher has a 0.721 probab
Igoryamba

Answer:

P(X>15)= P(X=16)+P(X=17)+P(X=18)+P(X=19)

P(X=16)=(19C16)(0.721)^{16} (1-0.721)^{19-16}=0.112  

P(X=17)=(19C17)(0.721)^{17} (1-0.721)^{19-17}=0.051  

P(X=18)=(19C18)(0.721)^{18} (1-0.721)^{19-18}=0.015  

P(X=19)=(19C19)(0.721)^{19} (1-0.721)^{19-19}=0.002  

And replacing we got:

P(X>15)= P(X=16)+P(X=17)+P(X=18)+P(X=19) =0.112+0.051+0.015+0.002= 0.1801

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

For this case our random variable is given by:

X \sim Binom(n = 19, p = 0.721)

For this case we want this probability:

P(X>15)= P(X=16)+P(X=17)+P(X=18)+P(X=19)

P(X=16)=(19C16)(0.721)^{16} (1-0.721)^{19-16}=0.112  

P(X=17)=(19C17)(0.721)^{17} (1-0.721)^{19-17}=0.051  

P(X=18)=(19C18)(0.721)^{18} (1-0.721)^{19-18}=0.015  

P(X=19)=(19C19)(0.721)^{19} (1-0.721)^{19-19}=0.002  

And replacing we got:

P(X>15)= P(X=16)+P(X=17)+P(X=18)+P(X=19) =0.112+0.051+0.015+0.002= 0.1801

P(X> 2)=1-P(X\leq 2)=1-[0.0211+0.0995+0.211]=0.668

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