What is 3of 12 metres?
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Answer:
The probability that less than 800 students who said they still had their original major is 0.50 or 50%.
Step-by-step explanation:
Let the random variable <em>X</em> be described as the number of third-year college students if they still had their original major.
The probability of the random variable <em>X</em> is, P (X) = <em>p</em> = 0.50.
The sample selected consisted of <em>n</em> = 1600 third-year college students.
The random variable <em>X </em>thus follows Binomial distribution with parameters n = 1600 and p = 0.50.
As the sample size is large, i.e.<em>n</em> > 30, and the probability of success is closer to 0.50, Normal approximation can be used to approximate the binomial distribution.
The mean of <em>X</em> is:
The standard deviation of <em>X</em> is:
It is provided that Picky Polls got less than 800 students who said they still had their original major.
Then the probability of this event is:
**Use the <em>z</em>-table for the probability.
Thus, the probability that less than 800 students who said they still had their original major is 0.50.
Starting from the fundamental trigonometric equation, we have
Since , we know that the angle lies in the third quadrant, where both sine and cosine are negative. So, in this specific case, we have
Plugging the numbers, we have
Now, just recall that
to deduce