FiltersDone

Question type

Essay

Multiple Choice

Short Answer

True False

Matching

Exam 4: Discrete Probability Distributions

Show Answer

Share

---

All types

Filters

Study FlashcardsPractice ExamLearn

Question 21

Multiple Choice

Review LaterAdd Note

Review Later

Which of the following would be a measure of spread of a probability distribution.

A) $\sum X _ { i } \cdot P \left( X _ { i } \right)$
B) $\sum X _ { i } ^ { 2 } \cdot P \left( X _ { 1 } \right)$
C) $\sum \left( K _ { i } - \mu \right) \cdot P \left( K _ { i } \right)$
D) $\sum \left( X _ { 1 } - \mu \right) ^ { 2 } \cdot P \left( X _ { 1 } \right)$

Correct Answer

verified

Show Answer

Question 22

Short Answer

Review LaterAdd Note

Review Later

If a trial in an experiment has more than two outcomes, a(n) __________ distribution must be used. ________________________________________

Correct Answer

verified

Show Answer

Question 23

Short Answer

Review LaterAdd Note

The __________ of a discrete random variable of a probability distribution is the theoretical average of the variable. ________________________________________

The Poisson distribution is used when n is small and p is large.

$\begin{array}{l}\text { What probability value would be needed to complete the following probability distribution? }\\\begin{array} { | l | c | c | c | c | c | } \hline \mathrm { x } & - 2 & - 1 & 0 & 1 & 2 \\\hline \mathrm { P } ( \mathrm { x } ) & 0.16 & 0.17 & & 0.12 & 0.31 \\\hline\end{array}\end{array}$

A coin is tossed five times. Find the probability of getting exactly three heads.

The number of cartoons watched by Mrs. Kelly's first grade class on Saturday morning is shown below. Give the standard deviation for the probability distribution above.

Give the mean of the following probability distribution? $\begin{array} { | l | l | } \hline x & P ( x ) \\\hline 1 & 0.20 \\\hline 2 & 0.10 \\\hline 3 & 0.35 \\\hline 4 & 0.05 \\\hline 5 & 0.30 \\\hline\end{array}$

The probability of observing 50 heads in 100 tosses of a fair coin is less likely than observing 500 heads in 1000 tosses.

What is the standard deviation of the following probability distribution?

In a survey, 65% of the voters support a particular referendum. If 40 voters are chosen at random, and X is the number of voters that support this referendum, find the standard deviation of X.

Using the formula for the multinomial distribution, the probability of $\mathrm { X } 1 = 2 , \mathrm { X } 2 = 2 , \mathrm { X } 3 = 1$ when $\mathrm { n } = 5$ , $\mathrm { p } 1 = 0.4 , \mathrm { p } 2 = 0.5 , \mathrm { p } 3 = 0.1$ is

$\text { The following distribution is not a probability distribution }$ because $\begin{array}{|l|c|c|c|c|c|}\hline \mathrm{x} & -5 & -4 & -3 & -2 & -1 \\\hline \mathrm{P}(\mathrm{x}) & 0.18 & 0.26 & -0.21 & 0.46 & 0.31 \\\hline\end{array}$

In binomial experiments, the outcomes are usually classified as successes or failures.

The mean, variance, and standard deviation should be rounded to one more decimal place than the outcome, X.

A bag contains 25 white marbles and 32 black marbles. The probability P(X) of selecting without replacement a sample of size 9 of 3 white marbles and 6 black marbles is

$\text { Using the probability distribution listed, the mean would be } 1.6 .$ $\begin{array}{ll|l|l|l|}\hline x & 0 & 1 & 2 & 3 \\\hline P x & 0.2 & 0.1 & 0.3 & 0.4 \\\hline\end{array}$

Using the multinomial formula, find the probability of the following data. $\begin{array} { l } n = 8 , x _ { 1 } = 4 , x _ { 2 } = 3 , x _ { 3 } = 1 \\p _ { 1 } = 03 , p _ { 2 } = 05 , p _ { 3 } = 02\end{array}$

The number of song requests a radio station receives per day is indicated in the table below. Construct a graph for this data

If a student randomly guesses at 20 multiple-choice questions, find the probability that the student gets exactly four correct. Each question has four possible choices.