If I randomly selected nine students in this class and asked them what day of the week (Sunday through Saturday) they were born on (assuming they know), what is the probability that two or more of them were born on the same day? This question is part of a quiz or exam at Arizona State University.  No portion may not be posted to any website, photos and screenshots may not be taken, and no portion of it may be printed out.

There is a shuttle stop at McCarran airport in Las Vegas where a shuttle picks up people from the airport and takes them to their hotel on the Strip.  This shuttle can hold 11 people and their luggage.  An analyst has recently used a Chi-Square Goodness of Fit test and determined that the number of people that arrive to this shuttle in a 1-hour (60 minutes) period is a Poisson random variable with a mean of 20 people.  This question is part of a quiz or exam at Arizona State University.  No portion may not be posted to any website, photos and screenshots may not be taken, and no portion of it may be printed out. The shuttle will leave when it is at capacity, i.e., when 11 people have arrived and boarded.  If an empty shuttle has just pulled up to the shuttle stop, the probability that it will leave in the next 30 minutes is _________.  Enter your answer to four decimal places.    

Weights, in grams, of a particular part were recorded and broken down as follows: [0, 0.5): 15 [0.5, 1): 20 [1, 1.5): 15 [1.5, 2): 20 [2, 2.5]: 5  This question is part of a quiz or exam at Arizona State University.  No portion may not be posted to any website, photos and screenshots may not be taken, and no portion of it may be printed out.   Perform a Chi-Square Goodness of fit test on this data to determine if it has the continuous uniform pdf between 0 and 2.5.  How many degrees of freedom does the test statistic have?  

One hundred people, male and female, are sampled and their eye color recorded and presented in the following table: Eye Color Brown Blue Green Gray Male 30 10 15 15 Female 15 15 5 25  This question is part of a quiz or exam at Arizona State University.  No portion may not be posted to any website, photos and screenshots may not be taken, and no portion of it may be printed out. Test the hypothesis that eye color is independent of gender (male, female).  The p-value for this test is __________.  Enter your answer to three decimal places.

A psychology experiment asked 20 people to choose a number: 1, 2, 3, or 4.  The experimenter believed that these numbers would be chosen according to a discrete uniform distribution. 6 people chose the number 1 3 people chose the number 2 8 people chose the number 3 3 people chose the number 4 This question is part of a quiz or exam at Arizona State University.  No portion may not be posted to any website, photos and screenshots may not be taken, and no portion of it may be printed out. Perform a Chi-Square Goodness of Fit test on this data.  The p-value for this test is ___________.  Enter your answer to 3 decimal places.].  

Suppose you do a contingency table test with 5 rows and 3 columns and use P(Type 1 error) = 0.05.   The test statistic value is 12.73.   This question is part of a quiz or exam at Arizona State University.  No portion may not be posted to any website, photos and screenshots may not be taken, and no portion of it may be printed out.   What is your conclusion and inference?  Select the best answer.

Determine the value of d that makes p(x) a valid probability mass function.  This question is part of a quiz or exam at Arizona State University.  No portion may not be posted to any website, photos and screenshots may not be taken, and no portion of it may be printed out. Express your answer to two decimal places. p(x) = 3/(6d)    for x = 0         = 7/(2d)   for x = 1          = 3/(4d)  for x = 2

Consider f(x,y) =  for 0

A psychology experiment asked 20 people to choose a number: 1, 2, 3, or 4.  The experimenter believed that these numbers would be chosen according to a discrete uniform distribution. 6 people chose the number 1 3 people chose the number 2 8 people chose the number 3 3 people chose the number 4 This question is part of a quiz or exam at Arizona State University.  No portion may not be posted to any website, photos and screenshots may not be taken, and no portion of it may be printed out. Perform a Chi-Square Goodness of Fit test on this data.  Under the null hypothesis, the expected number of people choosing the number 4 is ______.   

Weights, in grams, of a particular part were recorded and broken down as follows: [0, 0.5): 15 [0.5, 1): 20 [1, 1.5): 20 [1.5, 2): 15  This question is part of a quiz or exam at Arizona State University.  No portion may not be posted to any website, photos and screenshots may not be taken, and no portion of it may be printed out.   Perform a Chi-Square Goodness of fit test on this data to determine if it has the exponential pdf with