Question

1.What type of probability distribution will most likely be used to analyze the number students that...

1.What type of probability distribution will most likely be used to analyze the number students that successfully transfer in the following problem?
The probability that a single transfer student is accepted to Stanford University is 0.3. If 4 students from the same community college apply, what is the probability that no more than 2 are accepted?

Group of answer choices

a.Poisson distribution

b.binomial distribution

c.none of the above

d.all of the above

2.The Z value is calculated as 1.86 for a selected item in a normally distributed population.  If another item is selected, what is the probability of calculating a larger z value?

3. Four percent of the customers of a mortgage company default on their payments. A sample of eight customers is selected. What is the probability that exactly two customers in the sample will default on their payments?

Homework Answers

Answer #1

Q1) We are given here that:
P( accepted ) = 0.3

The number of students who are accepted to stanford could be modelled here as:

This is because each students has an independent and equal probability of being accepted here.

2) Probability of getting a larger z value is computed from the standard normal tables as:
P(Z > 1.86) = 1 - P(Z < 1.86) = 1 - 0.9686 = 0.0314

therefore 0.0314 is the required probability here.

3) P(default) = 0.04

Probability that exactly 2 of the 8 customers defaults is computed here as:

Therefore 0.0351 is the required probability here.

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