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3 years ago

Select each of the following experiments that are binomial experiments:

Mathematics

1 answer:

Vinvika [58]3 years ago

8 0

Answer:

a) No.

b) Yes.

c) Yes.

Step-by-step explanation:

a) No.

As being without replacement, the probabilities of each color in each draw change depending on the previous draws.

This is best modeled by an hypergeometric distribution.

b) Yes.

As being with replacement, the probabilities for each color is constant.

Also, there are only two colors, so the "success", with probability p, can be associated with the color red, and the "failure", with probability (1-p), with the color blue, for example.

(With more than two colors, it should be "red" and "not red", allowing only two possibilities).

c) Yes.

The answer is binary (Yes or No) and the probabilities are constant, so it can be represented as a binomial experiment.

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William is taking the 25-question, multiple choice American Mathematics Competition. Each question has five answer choices. Will

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Given that William guesses random answers for the last four questions and that each question has five answer choices.

The probability that he gets an answer correct is 1 / 5.

The probability that he did not get an answer correct is 4 / 5.

The probability that he will not get any of the 4 questions correctly is

$\left( \frac{4}{5} \right)^4= \frac{256}{625}$

Therefore, the probability that he gets at least one of the 4 questions correctly is

$1-\frac{256}{625}= \frac{369}{625} =0.59=59\%$

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3 years ago

In addition to the car payment, Jackson and Bonnie estimate they will spend $200 on utilities, $140 on gasoline, $200 for grocer

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The total of the monthly bills will be $640.

(Add all of the bills together)

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3 years ago

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What are Egyptian contributions

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The method of writing, literature, art, architecture, religion, science of the Egyptians are Egyptian contributions.

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3 years ago

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Zach has a basic cell phone plan that does not include texting. He is going to add a multimedia texting package to his

attashe74 [19]

Package A is less expensive for Zach to send 250 multimedia texts each month.

Step-by-step explanation:

Given that,

Zach plans to send 250 multimedia texts each month.

Package A charges $0.25 per multimedia text with no monthly fees.

Package B charges $0.20 per multimedia text, but has a $15 monthly fee.

We need to find out which package is less expensive for Zach to add the plan.

The cost of 250 multimedia texts by package A :

⇒ Number of texts × cost per text

⇒ 250 × 0.25

⇒ 62.5

∴ The package A charges $62.5 for 250 multimedia texts.

The cost of 250 multimedia texts by package B :

⇒ (Number of texts × cost per text) + monthly fee

⇒ (250 × 0.20) + 15

⇒ 50 + 15

⇒ 65

∴ The package B charges $65 for 250 multimedia texts.

The Package A charges $62.5 which is less than package B charge of $65.

Hence, package A is less expensive.

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3 years ago

Find the missing value when given the modulus.

kolbaska11 [484]

Solving the complex number, we get the value of the missing value that is ‘a’ = -6

We have been given the expression as

|a – i| = √37 (1)

Which is an expression of complex number. The general expression of complex number is given as

z = x + iy

where x is the real part and iy is the imaginary part

To find the modulus value, the formula is given by,

|z| = |x + iy|

|z| = √[(real part)2 + (imaginary part)2]

|z| = √(x2 + y2)

According to the question, |z| = √37 (2)

Equating equation (1) and (2), we get

√(a2 + 1) = √37

(a2 + 1) = 37

a2 = 37 – 1

a2 = 36

a = √36

a = ±6

Now value of a can be 6 or -6. We have been given that the modulus is in third quadrant.

Hence the value will be negative. Therefore, the missing value will be -6.

Learn more about complex number here : brainly.com/question/5564133

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2 years ago