B. Show the formula and calculate how to determine the probability of getting two threes before you get another number if you roll a ten-sided die 5 times.
C. What is the expected number of threes you roll before you roll another number?
Answer:
B)
for probability of getting a 3 by rolling 10 sided die =1/10 (as 3 is one outcome out of 10)
herefor binomial distribtuion paramter n=5 and p=1/10
hence P(getting 2 threes)=P(X=2)= =0.0729
C)
Bu Geometric distribution, expected number of threes you roll before you roll another number = (1 - p) / p = 0.1 / 0.9 = 1/9 = 0.1111
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