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Exercises 5-31. Which of the following are binomial experiments or canbe reduced to binomial experiments?a. Surveying 100 people to determine if they like SudsySoapb. Tossing a coin 100 times to see how many headsC. Drawing a card with replacement from a deck andd. Asking 1000 people which brand of cigarettes theye. Testing four different brands of aspirin to see whichoccurgetting a heartsmokebrands are effective

Question
Exercises 5-3
1. Which of the following are binomial experiments or can
be reduced to binomial experiments?
a. Surveying 100 people to determine if they like Sudsy
Soap
b. Tossing a coin 100 times to see how many heads
C. Drawing a card with replacement from a deck and
d. Asking 1000 people which brand of cigarettes they
e. Testing four different brands of aspirin to see which
occur
getting a heart
smoke
brands are effective
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Exercises 5-3 1. Which of the following are binomial experiments or can be reduced to binomial experiments? a. Surveying 100 people to determine if they like Sudsy Soap b. Tossing a coin 100 times to see how many heads C. Drawing a card with replacement from a deck and d. Asking 1000 people which brand of cigarettes they e. Testing four different brands of aspirin to see which occur getting a heart smoke brands are effective

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Step 1

Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not mentioned the subparts you need help with. Please resubmit the question and specify the other subparts you’d like to get answered.

Necessary conditions that every random variable must have to follow the Binomial distribution: -

  • Sample size n must be known and definite
  • Each event must be independent of each other.
  • Probability for each event must be same.
Step 2

Part a) Surveying 100 people to determine if they like Sudsy Soap.

Surveying hundred people and then to know whether they like sudsy soap, in this each observation is independent of each other, we know the sample size which is equal to 100 and probability that a person like sudsy soap is equal for all.

So, it follows the Binomial distribution.

Step 3

Part b) Tossing a coin 100 times to see how many heads occur

In tossing a coin 100 times, sample size n is known and equal to 100, probability for gettin...

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