OMG HELP RN I MARK BARINLIST
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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.
Complete Question
A recent study found that hourly wages earned by employees possessing a master's degree are distributed normally with a mean of $27.50 and standard deviation of $3.50
At a recent job fair, Intel boasted that they paid master's graduates more than 90% of all
employers. If we interpret their claim as a percentile, what hourly wage must they offer employees with master's degrees?
Answer:
The value is
Step-by-step explanation:
From the question we are told that they paid master's graduates more than 90% of all
Generally from the z-table the z-score for 90% is
This z-score can be mathematically represented as
Here x is the hourly wage they offer employees with master's degrees
substituting $27.50 for and $3.50 for
we have
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