Ace - AI Tutor
Ask Our Educators
Textbooks
My Library
Flashcards
Scribe - AI Notes
Notes & Exams
Download App
Ferdelita Dacosta

Ferdelita D.

Divider

Questions asked

INSTANT ANSWER

a. 1 b. \( \mathrm{n} \) c. \( \mathrm{n}-1 \) d. None of the above II. Problem Solving 1. Items Purchased at a Convenience Store. When 30 randomly selected customers left a convenience store, each was asked the number of items he or she purchased. \begin{tabular}{lllll} 2 & 9 & 4 & 3 & 6 \\ 6 & 2 & 8 & 6 & 5 \\ 7 & 5 & 3 & 8 & 6 \\ 6 & 2 & 3 & 2 & 4 \\ 6 & 9 & 9 & 8 & 9 \\ 4 & 2 & 1 & 7 & 4 \end{tabular} Construct a histogram, a frequency polygon, and an ogive. 2. Kilometer per Liter. The number of Distance covers per Litter of the 10 worst vehicles is shown. 19.3 \( 24.1 \quad 20.9 \) 22.5 24.1 \( 25.7 \quad 27.4 \) 25.7 29.0 Find each of these. a. Mean b. Median c. Mode d. Midrange e. Range f. Variance g. Standard deviation

View Answer
 divider
INSTANT ANSWER

Construct a histogram, a frequency polygon, and an ogive. 2. Kilometer per Liter. The number of Distance covers per Litter of the 10 worst vehicles is shown. 19.3 24.1 20.9 22.5 ( begin{array}{lll}24.1 & 25.7 & 27.4end{array} ) 25.7 29.0 Find each of these. a. Mean b. Median c. Mode d. Midrange e. Range f. Variance g. Standard deviation

View Answer
 divider
INSTANT ANSWER

Binomial Distribution 1. Determine if the following situations suggest a random variable with a binomial distribution: a. The number of questions correct if one randomly guesses on a quiz of 20 multiple choice questions where each question has 4 possible answers. b. The number of people with blue eyes in a group of 10 people was drawn from a room of 30 people without replacement. c. The number of bird chirps one can hear in a day if the average number of chirps per hour is 15 . d. The number of heads seen in 30 flips of a coin. e. The number of each of 3 species of flowers is present in a collection of 100 flowers. f. The number of rolls of two dice that result in a prime total if the dice are rolled 50 times. g. The number of 400 subjects taking Atorvastatin that indicated they experienced a headache the same day they first took this drug. 2. For each random variable below that follows a binomial distribution corresponding to the given number of trials \( n \), and probability of success \( p \), find the probability of seeing \( x \) successes. a. \( \mathrm{n}=12, \mathrm{p}=3 / 4, \mathrm{x}=10 \) b. \( \mathrm{n}=9, \mathrm{p}=0.35, \mathrm{x}=2 \) c. \( \mathrm{n}=20, \mathrm{p}=0.15, \mathrm{x}=4 \) d. \( n=15, p=1 / 3, x=13 \) 3. Assume that \( 13 \% \) of people are left-handed. If we select 5 people at random, find the probability of each outcome below: a. The first lefty is the fifth person chosen. b. There are exactly 3 lefties in the group. c. There are some lefties among the 5 people. d. There are no more than 3 lefties in the group.

View Answer
 divider
INSTANT ANSWER

What is the probability

View Answer
 divider
INSTANT ANSWER

3. Determine if the following are discrete or continuous random variables: a. The speed of a race car in \( \mathrm{km} / \mathrm{h} \). b. The number of cups of coffee that someone drinks each day. c. The number of people that play the SDSB each day. d. The weight of a newborn baby. 4. Construct a probability distribution for the data and draw a histogram for the following: a. The probability that a patient will have \( 0,1,2 \), or 3 medical tests performed on entering a hospital are \( 6 / 15,5 / 15,3 / 15 \), and \( 1 / 15 \) respectively. \begin{tabular}{|c|l|l|l|l|} \hline \( \mathrm{x} \) & & & & \\ \hline \( \mathrm{P}(\mathrm{X}) \) & & & & \\ \hline \end{tabular} b. A die is loaded in such a way that the probabilities of getting \( 1,2,3,4,5 \), and 6 are \( 1 / 2,1 / 6,1 / 12,1 / 12 \), \( 1 / 12 \), and \( 1 / 12 \) respectively. \begin{tabular}{|c|l|l|l|l|l|} \hline \( \mathrm{x} \) & & & & & \\ \hline \( \mathrm{P}(\mathrm{X}) \) & & & & & \\ \hline \end{tabular}

View Answer
 divider
ANSWERED

Name: Discrete Probability Distributions Worksheet 1. You flip four coins. Let \( \mathrm{X} \), the random variable, be the number of heads on all four coins. a. List the sample space for the experiment. b. What are the possible values for \( x \) ? c. Is the random variable, \( \mathrm{x} \), continuous or discrete? d. Construct a probability distribution (Table or figure) for this experiment. \begin{tabular}{|l|l|l|l|l|} \hline \( \mathrm{x} \) & & & & \\ \hline \( \mathrm{P}(\mathrm{X}=\mathrm{x}) \) & & & & \\ \hline \end{tabular} e. Construct a histogram for the probability distribution in the space below. 2. Determine if the following are probability distributions (if not, state why). a. \begin{tabular}{|c|c|c|c|c|c|} \hline \( \mathrm{x} \) & 3 & 6 & 9 & 12 & 15 \\ \hline \( \mathrm{P}(\mathrm{X}) \) & \( 4 / 9 \) & \( 2 / 9 \) & \( 1 / 9 \) & \( 1 / 9 \) & \( 1 / 9 \) \\ \hline \end{tabular} b. \begin{tabular}{|c|c|c|c|c|c|} \hline \( \mathrm{x} \) & 1 & 2 & 3 & 4 & 5 \\ \hline \( \mathrm{P}(\mathrm{X}) \) & \( 3 / 10 \) & \( 1 / 10 \) & \( 1 / 10 \) & \( 2 / 10 \) & \( 3 / 10 \) \\ \hline \end{tabular} c. \begin{tabular}{|c|c|c|c|c|} \hline \( \mathrm{X} \) & 20 & 30 & 40 & 50 \\ \hline \( \mathrm{P}(\mathrm{X}) \) & 1.1 & 0.2 & 0.9 & 0.3 \\ \hline \end{tabular} 3. Determine if the following are discrete or continuous random variables: a. The speed of a race car in \( \mathrm{km} / \mathrm{h} \). b. The number of cups of coffee that someone drinks each day.

View Answer
 divider
ANSWERED

c. At least 20 years old 4. Automobile Sales. An automobile salesperson finds the probability of making a sale is 0.21 . If she talks to 4 customers, find the probability that she will make 4 sales. Is the event likely or unlikely to occur? Explain your answer. 5. Selecting Marbles \( \mathrm{A} \) bag contains 9 red marbles, 8 white marbles, and 6 blue marbles. Randomly choose two marbles, one at a time, and without replacement. Find the following. a. The probability that the first marble is red and the second is white b. The probability that both are the same color c. The probability that the second marble is blue 6. Evaluate each expression. a. 8 ! b. \( { }_{7} P_{5} \) c. \( { }_{5} C_{2} \) 7. Passwords Given the characters A, B, C, H, I, T, U, V, 1, 2, 3, and 4, how many sevencharacter passwords can be made? (No repeats are allowed.) How many if you have to

View Answer
 divider
ANSWERED

HOMEWORK \#4 1. Classify each statement as an example of classical probability, empirical probability, or subjective probability. \begin{tabular}{|l|l|} \hline \multicolumn{1}{|c|}{ Events } & Classical, empirical, or subjective \\ \hline \begin{tabular}{l} The probability that a person will watch \\ evening GMNTV news is 0.15 \end{tabular} & \\ \hline \begin{tabular}{l} The probability of winning at a BINGO \\ game is 0.2 \end{tabular} & \\ \hline \begin{tabular}{l} The probability that a bus will be in an \\ accident on a specific run is about \( 6 \% \). \end{tabular} & \\ \hline \end{tabular} 2. Drawing a Card. If a card is drawn from a deck, find the probability of getting these results: a. A 6 and a spade b. A black king c. A red card and a 7 d. A diamond or a heart e. A black card 3. Licensed Drivers in the United States In a recent year there were the following numbers (in thousands) of licensed drivers in the United States. \begin{tabular}{lcc} & Male & Female \\ \hline Age 19 and under & 4746 & 4517 \\ Age 20 & 1625 & 1553 \\ Age 21 & 1679 & 1627 \end{tabular} Source: World Almanac. Choose one driver at random. Find the probability that the driver is a. Male and 19 years or under b. Age 20 or female c. At least 20 years old

View Answer
 divider
ANSWERED

Binomial Distribution 1. Determine if the following situations suggest a random variable with a binomial distribution: a. The number of questions correct if one randomly guesses on a quiz of 20 multiple choice questions where each question has 4 possible answers. b. The number of people with blue eyes in a group of 10 people was drawn from a room of 30 people without replacement. c. The number of bird chirps one can hear in a day if the average number of chirps per hour is 15 . d. The number of heads seen in 30 flips of a coin. e. The number of each of 3 species of flowers is present in a collection of 100 flowers. f. The number of rolls of two dice that result in a prime total if the dice are rolled 50 times. g. The number of 400 subjects taking Atorvastatin that indicated they experienced a headache the same day they first took this drug. 2. For each random variable below that follows a binomial distribution corresponding to the given number of trials \( n \), and probability of success \( p \), find the probability of seeing \( x \) successes. a. \( \mathrm{n}=12, \mathrm{p}=3 / 4, \mathrm{x}=10 \)

View Answer
 divider
ANSWERED

CEL-\#StaySafe LTE C27mes 18 Expectation \( 81 \% \) 1. A box contains ten \( \$ 1 \) bills, five \( \$ 2 \) bills, three \( \$ 5 \) bills, one \( \$ 10 \) bill, and one \( \$ 100 \) bill. A person is charged \( \$ 20 \) to select one bill. Find the expected value for this game. Is this game fair? 2. If a person rolls doubles when he tosses two dice, he wins \( \$ 5 \). The cost to play the game is \( \$ 1 \). Is this game fair? 3. A raffle sells 100 tickets at \( \$ 5 \) apiece. There is one \( \$ 500 \) prize, five \( \$ 100 \) prizes, and ten \( \$ 50 \) prizes. What are your expected winnings? Binomial Distribution 1. Determine if the following situations suggest a random variable with a binomial distribution:

View Answer
 divider