Suppose that 1 out of 4 eggs contain the Salmonella virus, and eggs are independent of...

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Statistics

Suppose that 1 out of 4 eggs contain the Salmonella virus, andeggs are independent of each other with regard to havingSalmonella. If Sue uses 3 eggs to bake a cake, the distributiondescribing the probability of getting eggs with the virus is

binomial, with n = 4 and p=1/3

binomial, with n = 3 and p = 1/3

binomial, with n = 3 and p= 1/4

not binomial

Which of the following is a characteristic of the binomialdistribution?

The probability changes from trial to trial

The outcome of each trial depends on the outcome of the previoustrial

Each trial typically has 3 outcomes

The probability of success is constant, trial to trial

A coin is weighted so that it turns up heads 60% of the time. Ifthe coin is flipped 10 times, and the flips are independent of eachother, the distribution is

binomial, with n = 60 and p = 1/10, or 0.1

binomial, with n = 10 and p = 0.6

binomial, with n = 10 and p = 1/2, or 0.5

not binomial

Which of the following is not a characteristic of a binomialdistrIbution?

2 and only 2 outcomes per trial

At least 3 outcomes per trial

The probability of success does not change from trial totrial

The outcome of a trial does not affect the outcome of the nexttrial

As the number of trials gets large, a binomial distributionstarts to resemble a

Right-skewed distribution

uniform distribution

normal distribution

linear regression line

In order for n to be large enough for the normal distribution tobe able to approximate the binomial, n must be

a. np > 10

b. np > 10 and n(1-p) > 10

c. n > 100

d. n > 100 and p > 0.1

Answer & Explanation Solved by verified expert
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Answer to 1st question Probability of an egg containing the Salmonella Virus 1 4 Given Sue uses 3 eggs to bake Let X be a random variable representing the number of eggs that contain the Salmonella virus Therefore X follows Binomial Distribution with    See Answer
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