A binomial distribution has a mean of = 12 for a sample of n = 60. what is the value of p?

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jjscreamsinside13161 jjscreamsinside13161

03-08-2022
Mathematics

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A binomial distribution has a mean of = 12 for a sample of n = 60. what is the value of p?

Sagot :

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HafsaM HafsaM · Answer 1 · 2022-08-05T12:16:09-04:00

Value of p is 0.5.

Given

Mean of a binomial distribution np = 12

Sample n = 60

The binomial distribution is the discrete probability distribution that gives only two possible results in an experiment, either success or failure.

To calculate the mean of a binomial distribution B(n, p) we need to multiply the number of trials n by the probability of successes p,

mean = n × p .

Value of p:

np = 12

(60) p = 12

p = 12/60

p = 1/2

p = 0.5

Value of p is 0.5.

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