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Crank
2 years ago
11

The binomial distribution is appropriate to use to find the probability of the elapsed time between successes.

Mathematics
1 answer:
antiseptic1488 [7]2 years ago
5 0

Answer:

b. False

Step-by-step explanation:

The binomial distribution model allows us to compute the probability of successes when the process is repeated a specific number of times.

The  binomial distribution model is given as;

P(X) = \frac{n_!}{x! (n-x)!} P^x (1-P)^{(n-x)}

n is the number of times the process is repeated,

x is the  the number of successes,

p is the occurrence of the outcome of interest,

Thus, the probability of elapsed time is best determined with Exponential distribution.

Thus, the correct option is "b"

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Suppose that in a senior college class of 500500 ​students, it is found that 179179 ​smoke, 228228 drink alcoholic​ beverages, 1
olga2289 [7]

Answer: a) 0.16, b) 0.058, and c) 0.856.

Step-by-step explanation:

Since we have given that

Number of students = 500

Number of students smoke = 179

Number of students drink alcohol = 228

Number of students eat between meals = 119

Number of students eat between meals and drink alcohol = 59

Number of students eat between meals and smoke = 72

Number of students engage in all three = 30

a) Probability that the student smokes but does not drink alcohol is given by

P(S-A)=P(S)-P(S\cap A)\\\\P(S-A)=\dfrac{179}{500}-\dfrac{99}{500}\\\\P(S-A)=\dfrac{179-99}{500}\\\\P(S-A)=\dfrac{80}{500}\\\\P(S-A)=0.16

b) eats between meals and drink alcohol but does not smoke.

P((M\cap A)-S)=P(M\cap A)-P(M\cap S\cap A)\\\\P((M\cap A)-S)=\dfrac{59}{500}-\dfrac{30}{500}\\\\P((M\cap A)-S)=\dfrac{59-30}{500}\\\\P((M\cap A)-S)=\dfrac{29}{500}\\\\P((M\cap A)-S)=0.058

c) neither smokes nor eats between meals.

P(S'\cap M')=1-P(S\cup M)\\\\P(S'\cap M')=1-\dfrac{72}{500}\\\\P(S'\cap M')=\dfrac{500-72}{500}\\\\P(S'\cap M')=\dfrac{428}{500}=0.856

Hence, a) 0.16, b) 0.058, and c) 0.856.

5 0
3 years ago
What is the distance between (2,7) and(4,2)
Leno4ka [110]

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d =  \sqrt{ ({2 - 4})^{2} +  ({7 - 2})^{2}  }

d =  \sqrt{ ({ - 2})^{2} +  ({5})^{2}  }

d =  \sqrt{4 + 25}

d =  \sqrt{29}

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4 0
2 years ago
HELPPP THIS IS DUE IN 2 HOURS PLZZZZZ HELPPP I WILL GIVE BRAINLIST
Temka [501]

Answer

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Step-by-step explanation:

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6 0
3 years ago
Read 2 more answers
Hello I’m sorry to bother but can I get some help?
elena-s [515]
<h3>Germany is correct and perfect answer.</h3>

As you can notice that it is below 7.5 trillion.

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3 0
2 years ago
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Vesnalui [34]
8n + 5 = 139

You would re-Arrange it to make it
8n = 139 + 5
Then take minus five to make it look like
8n=134
Next step would be to divide
Divide 8 on both sides which would leave you with
N= 67 over 4
you will have to convert it if you don’t want a fraction
5 0
3 years ago
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