select the correct answer from the drop - down menu. a number cube is biased to land on the number 3 about…
select the correct answer from the drop - down menu. a number cube is biased to land on the number 3 about 50% of the time. it is rolled 42 times, and the outcomes are recorded. the least likely result for the number cube to land on the number 3 is times.
Answer
Explanation:
Step1: Calculate expected number of times
The probability of landing on 3 is $p = 0.5$ and the number of trials $n=42$. The expected number of times to land on 3 is $E=np=42\times0.5 = 21$. In a binomial - like situation (biased cube roll), results far from the expected value are less likely. The least likely results are the ones that are the most extreme. Since the number of times it lands on 3 must be a non - negative integer, the least likely result is 0 times as it is the furthest from the expected value of 21 among non - negative integer possibilities.
Answer:
0