Consider a52-deck card consisting of 13hearts, 13diamonds, 13spades, and 13 clubs.

You sample 200times, each time you sample one card you record the value of thecard, place the cardback, reshuffle, and then pick again. Repeat the process until you have recorded 200 outcomes. Let the random variable X count the number of cards out of a sample of 200 that result in a diamond card.

a) Answer this question based on the scenario that was described. Is the shape of the distribution of

p , approximately equal to a normaldistribution?

A.

No

B.

Yes

b) Calculate the probability that 59 or more out of our sample of 200 would result in a diamond card. Use only a normal approximation to calculate probability.

(round probability to three decimalplaces)