An investment analyst has tracked a certain bluechip stock for the past six months and found that on any given day, it either goes up a point or goes down a point. Furthermore, it went up on 25% of the days and down on 75%. What is the probability that at the close of trading four days from now, the price of the stock will be the same as it is today? Assume that the daily fluctuations are independent event

0.2109 or 21.09%

Step-by-step explanation:

In order to maintain the same price after two days, the stock must go up (U) on two days and go down (D) on two days, the sample space for this event is:

S={UUDD, UDUD, UDDU, DDUU, DUDU, DUUD}

There are 6 equally likely possible outcomes. The probability that the price of the stock will be the same as it is today is:

The probability is 0.2109 or 21.09%.

The provided statement is not a binomial experiment.

Step-by-step explanation:

Four conditions of a binomial experiment:

There should be fixed number of trials

Each trial is independent with respect to the others

The maximum possible outcomes are two

The probability of each outcome remains constant.

For example:

Binomial distribution: Asking 200 people if they ever visit to new york.

Not Binomial distribution: Asking 200 people how much they earn in a week.

Now, observe the provided information:

We need to determine that, asking 100 people which brand of car they drive is a binomial experiment or not.

Clearly it is not a binomial experiment because the maximum possible outcomes are not two.

Therefore, the provided statement is not a binomial experiment.