Problem 3
Jim is considering pursuing an MS in Information Systems degree. He has applied to two different universities. The acceptance rate for applicants with similar qualifications is 20% for University X and 45% for University Y. What is the probability that Jim will be accepted at one and only one university?
Problem 5
Two Psychology majors, in 2 different sections of Clinical Psychology, were comparing test scores. The following gives the students' scores, class mean, and standard deviation for each section:
.............................Section 1 .......Section 2
Score .........................84 ..................75
Mean ..........................75 ..................60
Standard deviation........7 ...................8

What is the z-score of the student from section 1 and what is the probability that a student in section 1 will score higher than 84?

Problem 6
A loaf of bread is normally distributed with a mean of 22 oz and a standard deviation of 0.5 oz. What is the probability that a loaf is between 20.75 and 23.25 oz?

Problem 7
A study of a company's practice regarding the payment of invoices revealed that on the average an invoice was paid 20 days after it was received. The standard deviation equaled 5 days. Assuming that the distribution is normal, what percent of the invoices is paid within 15 days of receipt?

Solution Summary

This solution shows how to solve normal probability problems.

What is the area under the standard normaldistribution curve between z = 1.50 and z = 2.50?
A) 0.0802
B) 0.0606
C) 0.0764
D) 1.00
Identify the degree of confidence displayed in the confidence interval shown below.
A) 90%
B) 95%
C) 98%
D) 99%
If the sample mean is 10, the hypothesized population mean is 9

I was wondering if someone could help explain the NormalDistribution to me, maybe in more simple terms. An example would also be useful. I am using the program Minitab to generate my answers to questions.

If x is normally distrubed with u = 20.0 and o = 4.0, determine the following:
a. P(x > 20.0)
b. P(16.0 < x < 24.0)
c. P(X < 12)
d. P(x = 22.0)
e. P(12.0 , x , 28.0)
f. P(x 15)

What are the characteristics of a standard normaldistribution? Can two distributions with the same mean and different standard distributions be considered normal? How might you determine if a distribution is normal from its graphical representation?

If np ≥ 5 and nq ≥ 5 estimate P (fewer than 2) with n= 13 and p= 0.4 by using the normaldistribution as an approximation to the binomial distribution if np < 5 or nq <5 then state that the normal approximation is not suitable.
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