Question :
Ina normal distribution, find the probability that a term picked at random has a z score:
(a) Above z=1.85
(b) Below z= -1.23
(c) Between z= 1.5 and z= .5

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1. Find the following probability for the standard normal random variables z
P( -1.5< z < 1.5)
2. Find the area under the standard normalprobabilitydistribution between the following pairs of z- scores.
A. Z= 0 and z= 3.00
B. z= 0 and z= 1.00
C. Z = 0 and z = 2.00
D. Z = 0 and z = 0.62
E. z = 0 and z = 0.39

We are using a chart on standard normal (z) distribution: cumulative area from the LEFT showing Negative x Scores on one side and Positive (z) scores on the other.
a. P(z>2.61).
b. P(-1.62 < z < 2.81).
c. The z-score that would create a right tail of 31%.
d. The z-score that would create a left tail of 6.5%.

Scores on an assessment exam at a private school are normally distributed, with a mean of 72 and a standard deviation of 8. Any student who scores in the top 5% is eligible for a scholarship. What is the lowest whole number score you can earn and still be eligible for a scholarship?

Consider a binomial distribution with 15 identical trials, and a probability of success of 0.5.
Find the probability that x = 2 using the binomial tables.
Use the normal approximation to find the probability that x = 2

A normaldistribution has a mean of u= 40 and o=10. if a vertical line is drawn through the distribution at x= 55, what proportion of the scores on the right side of the line?
A normaldistribution has a u= 80 and o= 10. what is the probability of randomly selecting a score greater than 90 from this distribution?
A normal

1. This week we learned about normaldistributions:
a. Using your own words, tell me what the difference is between a normaldistribution and a standard normaldistribution.
b. Why do we convert values to z scores to find probability?
2. What is the difference between z scores and area in a bell curve?
3. T / F The n

1. For a sample selected from a population with a mean of µ=50 and a standard deviation of σ = 10:
a. What is the expected value of M and the standard error of M for a sample of n=4 scores?
b. What is the expected value of M and the standard error of M for a sample of n = 25 scores?
2. A population has a mean of µ

A. Assuming that the distribution of IQ is accurately represented by the bell curve in Figure 5.16, determine the proportion of people with IQs in each of the five cognitive classes defined by Herrnstein and Murray.
Figure 5.16
The distribution of IQ (See the attachment)
b. Although the cognitive classes above are defined

A test has a mean of 30, a standard deviation of 6, and scores that are normally distributed. Of the 50 people who took the test, about how many people would be expected to score between 24 and 36?
A. 25 people
B. 34 people
C. 47 people
D. There is not enough information to tell