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RSB [31]
3 years ago
8

Solve for the variable 90-b=90.8

Mathematics
1 answer:
stiv31 [10]3 years ago
8 0

Answer:

b=-0.8

Step-by-step explanation:

90-b=90.8

b=90-90.8

b=-0.8

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Ed and Taylor work together on a group quiz that has 20 multiple-choice questions, each with four choices for the possible answe
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Answer:

a. p = 0.25

b. n = 10, p = 0.25.

c. n = 10, p = 0.25.

d. n = 20, p = 0.25.

Step-by-step explanation:

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.

a. For any single question on the quiz, what is p = chance of a correct guess?

4 options, 1 of which is correct. So

p = \frac{1}{4} = 0.25

So p = 0.25.

b. Let X = number of correct guesses that Isabelle makes. What are the values of n and p for the binomial distribution that describes X?

Should be Ed here.

Ed guesses answers for the first 10 questions

This means that n = 10.

p is the same, so n = 10, p = 0.25.

c. Let Y = number of correct guesses that Taylor makes. What are the values of n and p for the binomial distribution that describes Y?

10 question, so n = 10, p is the same.

d. Consider X + Y = total correct guesses that Isabelle and Taylor make. What are the values of n and p for the binomial distribution that describes X + Y?

20 questions, so n = 20

10 for Ed, with 0.25 probability, 10 for Taylor, with 0.25 probability. So

p = \frac{10}{20}*0.25 + \frac{10}{20}*0.25 = 0.125 + 0.125 = 0.25

So n = 20, p = 0.25.

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