For each of the following statements, explain in a complete sentence why the sta
ID: 3181003 • Letter: F
Question
For each of the following statements, explain in a complete sentence why the statement is incorrect.
a) There are 4 grade levels at Dover High School. If a student is randomly selected, the probability that the student is a senior is ¼.
b) Two students are asked their ages in years. The probability that the first student is older is 0.65. Therefore the probability that the first student is younger is 0.35.
c) The probability that I will get stuck waiting for a train in the morning is 0.75 and the probability that I will not get stuck waiting for a train in the morning is 0.30.
Explanation / Answer
a) There are 4 grades. But student selected is senior with respect to whom is not mentioned.
b) When we ask two studen's age then we deterministically know who is older. So there is no question of probability.
c) Probability of getting stuck and not getting stuck are exclussive andexhaustive. So summation of them should be 1. But here it is not.
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