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A coin is weighted so that the probability of tails is 0.58. The coin is tossed 25 times, and the number of times tails is shown is recorded. This procedure 150 times with the number of times tails is shown noted each time. What kind of distribution is simulated?

A. A binomial distribution with n=25 and p=0.58
B. A binomial distribution with n=2 and p=0.58
C. A sampling distribution of the sample proportion with n=25 and p=0.58
D. A sampling distribution of the sample proportion with n=150 and p=0.58
E. There is not enough information to determine the distribution

Respuesta :

MathPhys

Answer:

A. A binomial distribution with n=25 and p=0.58

Step-by-step explanation:

We're looking at the number of tails, not the proportion.  The probability of tails is 0.58, and the number of tosses is 25.

anuksha0456

The given data represents a binomial distribution with n=25, and p=0.58, which makes option A. correct

What do we mean by Binomial Distribution?

Binomial Distribution is the distribution attained when we perform the same experiment repeatedly, and the probability of each outcome is unchanged in every trial.

The formula of the binomial distribution, to attain a variable X, r time with probability p, after performing the same experiment n times is given by,

P(r) = nCr.(p^r)((q^(n-r))

How do we solve the given question?

In the question, we are said that the probability of getting tails is 0.58.

This has been said before repeating the trial several times.

When the coin is tossed 25 times, and the number of tails is noted, we attain a binomial distribution with n=25 and p=0.58, which is determined by the option A.

Learn more about Binomial Distribution at

https://brainly.com/question/15246027

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