A soccer coach is dividing his players into groups of five. Kate, Jocilyn, Monty, Giorgianna,

and Henry are in one group. Each one of their names is written on a separate piece of

paper. The coach draws a name each week (and then replaces it for the next week) to find

the group leader.

8. Predict the number of times that Giorgianna's name will be drawn in 32 weeks. Round to the

nearest whole number.

Respuesta :

The prediction of the number of selection is an illustration of expected values

Giorgianna's name will be drawn 6 times in 32 weeks

How to predict the number of times?

The number of members in the group is given as:

n = 5

Each name appears only once.

So, the probability of selecting each of the names is:

p = 1/5

In 32 weeks, the expected number of times a name would be drawn is:

E(x) = np

Where

n represents the number of weeks i.e. n = 32

So, we have:

E(x) = 32 * 1/5

Evaluate the product

E(x) = 6.4

Approximate

E(x) = 6

Hence, Giorgianna's name will be drawn 6 times in 32 weeks

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