Purchase Solution

Statistics Problem Set: Binomial Random Variables

Not what you're looking for?

Ask Custom Question

38. Suppose x is a binomial random variable with n = 3 and p = 3
a. calculate the value of p(x), x = 0,1,2,3 using the formula for a binomial probability distribution
b. using your answers to part a, give the probability distribution for x in tabular form

42. The binomial probability distribution is a family of probability distributions with each single distribution depending on the values of n and p. Assume that x is a binomial random variable with n =4.
a. determine a value of p such that the probability distribution of x is symmetric
b. determine a value of p such that the probability distribution of x is skewed to the right
c. determine a value of p such that the probability distribution of x is skewed to the left
d. graph each of the binomial distributions you obtained in parts a, b, c. locate the mean for each distribution on its graph.
e. in general for what values of p will a binomial distribution be symmetric? skewed to the right? skewed to the left?

80. find the are under the standard normal probability distribution between the following pairs of z-scores:
a. z=0 and z=2.00
b. z=0 and z=3
c. z=0 and z=1.5
d. z=0 and z=.80

82. find the following probabilities for the standard normal random variable z:
a. P(-1<z<1)
b. P(-2<z<2)
c. P(-2.16< or =z < or = .55)
d. P(-.42<z<1.96)
e. P(z< or = 2.33)
f. P(z<2.33).

Purchase this Solution

Solution Summary

The solution assists with answering the binomial random variables in the statistics problem set.

Solution Preview

Please see attachment for full solutions.

38.
I suppose p = 0.3.
a) P(x=0)=3C0*0.3^0*(1-0.3)^3=1*1*0.7^3=0.343
P(x=1)=3C1*0.3^1*(1-0.3)^2=3*0.3*0.7^2=0.441
P(x=2)=3C2*0.3^2*(1-0.3)^1=3*0.3^2*0.7=0.189
P(x=3)=3C3*0.3^3*(1-0.3)^0=1*0.3^3=0.027
b) x 0 1 2 3
P 0.343 0.441 ...

Purchase this Solution


Free BrainMass Quizzes
Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.