BUS 204 Week 9 Assignment

BUS 204 Week 9 Assignment | MiraCosta College

Question 1

The distribution for the number of emergency calls to a city's 911 emergency number in a one-hour time period is likely to be described by a:

binomial distribution.  

continuous distribution  

hypergeometric distribution. 

Poisson distribution.

Question 2

The number of customers who post a positive Yelp review for a restaurant per month is an example of:

Complex Random Variable

Continuous Random Variable 

Discrete Random Variable 

Simple Random Variable

Question 3

If a survey asked employees if they were happy at work, the likely probability distribution that would describe the random variable, the number who say YES, is a:

continuous distribution  

Poisson distribution. 

binomial distribution.  

hypergeometric distribution.

Question 4

Based on past records, below is the Discrete Probability Distribution describing the number of houses sold monthly by a realtor. ROUND ALL ANSWERS TO TWO (2) DECIMAL PLACES.

Houses Sold, x   Probability,  P(x)               xP(x)     x-E(x)    [x-E(x)]2              [x-E(x)]2P(x)

4              0.50       

6              0.30

10           0.20       

                Expected Value, E(x)     

                Variance             

                                                                Standard Deviation        

Question 5

Amazon claims that no more than 12% of all products sold arrive damaged to customers. Assuming the binomial distribution applies, if a sample size of n = 40 products is randomly selected, solve the following probabilities. Use Excel or StatCrunch to solve.

ROUND THE FOLLOWING ANSWERS TO FOUR (4) DECIMAL PLACES.

a. What is the probability that exactly 5 products will be damaged? 

b. What is the probability that 4 or less packages will be damaged? 

c. What is the probability that 8 or more packages will be damaged? 

Question 6

Based on the Amazon problem above, what is the mean or Expected Value, E(x) in the sample of products that will arrive damaged?

5.60  

4.22  

3.75  

4.80

Question 7

Based on the Amazon problem above, what is the standard deviation in the sample of products that will arrive damaged?

2.06  

4.80  

3.57  

4.22

Question 8

Cars arrive to an In-N-Out drive thru according to a Poisson distribution with a mean of 15 cars per hour. Use Excel or StatCrunch to solve.

a. What is the expected number of cars arriving in 3 hours, or λλt? 

b. What is the probability of 35 or less cars arriving in 3 hours? ROUND TO FOUR (4) DECIMAL PLACES. 

c. What is the probability of 40 or more cars arriving in 3 hours? ROUND TO FOUR (4) DECIMAL PLACES. 

Question 9

Samsung sells 6 different models of TV's and have found that they sell an equal number of each model. The probability distribution that would describe this random variable is called:

Exponential distribution.  

Uniform distribution.  

Normal distribution.  

Binomial distribution.

Question 10

The distance a plane flies can be measured in miles is an example of:

discrete random variable  

simplex random variable  

continuous random variable  

complex random variable

IncorrectQuestion 11

Which probability distribution would most likely be used to describe the time between phone calls to a doctor's office?

Uniform distribution  

Normal distribution  

Binomial distribution  

Exponential distribution

Question 12

Which of the following is a characteristic of the normal distribution?

Equal probabilities at all values of x  

There are two possible outcomes  

Mean is greater than the median  

Symmetric

Question 13

A z-value of 2.57 indicates that:

the number of standard deviations of an observation is to the left of the mean  

a mistake has been made in computations, since a z-value cannot have decimals  

the number of standard deviations of an observation is to the right of the mean  

the data set has a positive mean, or expected value

Question 14

The money spent on drinks per visitor at the Seaworld is normally distributed with a mean of $23.50 and a standard deviation of $7.25. Use Excel or StatCrunch to solve.

a. What is the probability that a randomly selected park visitor will spend less than $21.00?

0.6349  

0.4180  

0.3146  

0.3651

Question 15

b. Using the same Seaworld scenario above, what is the probability that a randomly selected park visitor will spend more than $30.00?

0.2240  

0.8150

0.1505  

0.1850

PartialQuestion 16

The useful life of a rechargeable battery is exponentially distributed with a mean of 120 hours. What is the probability that the battery will fail within the first 100 hours? Use Excel or StatCrunch to solve.

a. Lambda or λλ is: ROUND TO FOUR (4) DECIMAL PLACES. 

b. The value of interest or a (also the x in Excel) is:   

c. What is the probability that battery will fail within the first 100 hours? ROUND TO FOUR (4) DECIMAL PLACES. 

IncorrectQuestion 17

Which of the following statements is NOT consistent with the Central Limit Theorem ?

The Central Limit Theorem applies to non-normal distributions.  

The Central Limit Theorem indicates that the sampling distribution will be approximately normal when the sample size is sufficiently large.  

The Central Limit Theorem applies without regard to the size of the sample.  

The Central Limit Theorem indicates that the mean of the sampling distribution will be equal to the population mean.

Question 18

Suppose the mean balance of all Visa credit cards is known to be $3,250. A random sample of 10 accounts yields a total balance of $35,800. The sampling error is:

-$330.00  

-$32,550.00  

$330.00  

$358.00

Question 19

The proportion of people in a population who use Tik Tok is known to be 0.55. If a simple random sample of size n = 250 people is selected and 200 people said they use Tik Tok, what is the sampling error?

0.45  

-0.25  

0.25  

200

Question 20

Suppose the average cellphone bill is normally distribution with a mean of $115 a month and a standard deviation of $20. If 16 cell phone bills are randomly sampled from the population, solve the following: 

a. What is the z-value for a $108 phone bill? Use appropriate formula. 

b. What is the z-value for a $125 phone bill? Use appropriate formula. 

c. What is the probability that the sample mean phone bill is between $108 and $125? Use Excel or StatCrunch to solve. ROUND TO FOUR (4) DECIMAL PLACES. 

Partial

Question 21

A pharmaceutical company claims that 20% of patients experience nausea when they take a particular drug. In a study, a random sample of n = 100 patients were given the drug and 15 experienced nausea. What is the probability that 15 or more patients experience nausea?

a. What is the population proportion, or p?  

b. What is the sample proportion, or p-bar?  

c. What is the z-value of the sample proportion in part b? ROUND TO TWO (2) DECIMAL PLACES   

d. What is the probability of having 15 or more patients experience nausea in the sample? Use Excel or StatCrunch to solve. ROUND TO FOUR (4) DECIMAL PLACES 

Question 22

I pledge on my honor that I have not given or received any unauthorized assistance on this exam.

[Type in your full name]

I pledge on my honor that I have not given or received any unauthorized assistance on this exam.

Kiera Nowlin (Links to an external site.)

Question 23

EXTRA CREDIT: What is the standard error for a sampling distribution of the mean?

The sample standard deviation divided by the square root of n  

The population standard deviation divided by the square root of n  

The square root of p(1-p)/n  

The population standard deviation

Instructions to upload your Excel file:

•             Click SUBMIT to finish your exam.

•             Then click NEXT to go to the following page where you can upload your Excel file.

•             Save your Excel file to your desktop, then upload the attachment into the Canvas assignment.

If you are having trouble with this, you can also email your Excel file to [email protected].