Farzad puts the following 10 cards into a bag.
ASSESSMENT
Farzad randomly selects one card, records the result and puts the card back into the bag. If he does
this 500 times, how many times is it likely that he will select a card with a vowel (A, E, I, O, U)?
Justify your answer.

Respuesta :

If the probability will be 0.5. Then the expected value will be 250.

How to find that a given condition can be modeled by binomial distribution?

Binomial distributions consist of n independent Bernoulli trials.

The expected value will be

E(X) = np

Farzad puts the following 10 cards into a bag.

Farzad randomly selects one card, records the result, and puts the card back into the bag.

If he does this 500 times.

Then the number of times is it likely that he will select a card with a vowel (A, E, I, O, U) will be

Let among 10 cards 5 are vowels

Then the total number of events will be

Total event = 10

A favorable event will be

Favorable event = 5 {A, E, I, O, U}

Then the probability will be

p = 5 / 10

p = 0.5

Then the expected value will be

E(X) = 0.5 x 500

E(X) = 250

Learn more about binomial distribution here:

https://brainly.com/question/13609688

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