According to data from the state blood program, 40 percent of all individuals have group a blood. if six individuals give blood, find the mean number of individuals having group a blood.

Respuesta :

Let's suppose that these six individuals are a representative sample from the population.

So to figure out this we can calculate 40% of 6, which is 2.4 individual.

So 2.4 individual from the six may have A blood group (you can keep the number as it is, or round to 2).

Answer:

The mean number of individuals having group a blood is 2.4 individuals.

Explanation:

We can solve this problem using concepts of the binomial probability distribution.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability. Has a mean of

[tex]E(X) = np[/tex]

In this problem, we have that

40 percent of all individuals have group a blood. This means that [tex]p = 0.4[/tex].

If six individuals give blood, find the mean number of individuals having group a blood.

We work with six individuals, so [tex]n = 6[/tex].

The mean is:

[tex]E(X) = np = 6*0.4 = 2.4[/tex]

The mean number of individuals having group a blood is 2.4 individuals.

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