Which one of the following statements is true? a. A chaotic phenomenon will sett

Question

Which one of the following statements is true?

a. A chaotic phenomenon will settle down, in the long run, in a way that is consistent and predictable.

b. The probability of an event is its short-term relative frequency.

c. For any random phenomenon, each attempt is called a trial.

d. Two events can be both disjoint and independent at the same time.

. Which one of the following statements is false?

a. A probability is a number between 0% and 100%.

b. The set of outcomes that are not in the event A is called the complement of A.

c. Disjoint events have no outcomes in common.

d. If the outcome of one trial does not influence or change the outcome of another trial, we say the trials are independent.

The American Red Cross says that about 45% of the US population has Type O blood, 40% has Type A, 11% has Type B, and the rest has Type AB. Use this information to answer the following two questions.

Someone volunteers to give blood. What is the probability that this donor has Type AB blood?

a. 0.04

b. 0.96

c. 0.510

d. 0.49

Among four potential donors (all independent of each other), what is the probability that at least one person has Type B?

a) 0.110

b) 0.8900

c) 0.6274 d)

0.3726 3 10.

Suppose a fair 6-sided die is tossed five times. What is the probability that we see at least one three in the five tosses?

a) 0.8300

b) 0.4019

c) 0.5981

d) 0.1667

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Explanation / Answer

1)

Ans: a. A chaotic phenomenon will settle down, in the long run, in a way that is consistent and predictable.

The fact is that in the long run, even truly random phenomena settle down in a way that’s consistent and predictable. It’s this property of random phenomena.

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