Exam 7: Theoretical Distributions Including the Normal Distribution

The inflection points on the normal curve are at z = -1 and z = +1.

Equal distances on the X axis are associated with equal proportions of the normal curve.

.3840 of the normal curve falls between $\mu$ and 1.20 $\sigma$ . The proportion between $\mu$ and .6 $\sigma$ is

A point on the normal curve with .35 of the curve beyond it has .15 between it and the mean.

Suppose that if k should occur, it will be called a success. If j should occur, it will be called a failure. The ratio $\frac { k } { j }$ is

Among the legendary ranches in North America that have brands such as the CO Bar and the Dragging y, some authors include the imaginary Stats Bar-X Ranch, which is known for its tall cowboys, who average 6 feet tall with a standard deviation of 4 inches. a. What proportion of the Bar-X cowboys have to duck to get through the 6 ft. 3 in. door of the bunkhouse? b. What proportion of cowpokes at the Bar-X are taller that the world's largest horse, Mammoth, a Shire breed horse, who was 21 1/2 hands high (7 feet, 2 inches)? c. What proportion of Bar-X cowboys are taller than the 5 foot, 10 inch average American male, aged 20-29?

Data Set 7-6, a theoretical distribution: -Look at Data Set 7-6. The probability of occurrence of Events B or C is

The numerator of the z score in Chapter 7 is the difference between a distribution's mean and its median.

Extreme scores on the normal curve are those far from the mean.

Your textbook used positive and negative z scores as measures along the X axis.

If you were given one z score from a population of measurements and nothing else, you could determine

The size of the theoretical distributions described in Chapter 7 does not depend on the size of the population.

An urn contains the mix of marbles shown below. What is the probability of drawing a. a blue marble? b. a green marble? c. a red or a white marble? d. a white, green, or blue marble? Marbles f Reds 6 Whites 5 Greens 2 Blue 7

Given the following theoretical distribution of heads when four (4) coins are tossed in the air, a. what is the probability of throwing four coins and getting four heads? b. what is the probability of throwing four coins and getting either four heads or zero heads? c. what is the probability of throwing four coins and getting an equal number of heads and tails?

Which of the following is a theoretical distribution?

Data Set 7-2: In the Fall of 1902 there were 184 seniors, 179 juniors, 267 sophomores, and 353 freshmen enrolled at a small college. -In Data Set 7-2 the probability of picking a student at random and getting either a junior or a senior is

Five coins are tossed 100 times. The distribution generated is

You would know the probability of an event or events if you knew

If $\mu$ = 10 and $\sigma$ = 2, a. find the score that separates the lower 25% from the rest. b. find the scores that separate the upper 2.5% and lower 2.5% from the rest.

Given below are lower and upper limits of areas of the normal curve. Choose the limits that mark off the greatest proportion of the normal curve.