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Question 1: (1 points)

The length of hospital stay for patients with a certain chronic disease is between 60  and 94 days following admission. Assuming that the stays occur uniformly in this interval, obtain the probability that an admitted patient gets discharged (a) by day 77 or more (b) between 66 and 80 days (c) under 70 days following the inception of admission?  (d)  What is the mean number of days of stay following admission?  (e)  What is the variance of stay following admission?  (f) what is the standard deviation of stay following admission?

   

   

   

(d) =    

(e) =    

(f) =    

Question 2: (1 points)

The length of hospital stay for patients with a certain chronic disease is between 60  and 94 days following admission. Assuming that the stays occur uniformly in this interval

 (a) What is the height of the distribution of the stays of the patients if sketched? (b) Find the five number summary for the distribution of the stay of the patients(c) What is the proportion of patients whose stays  are above 74(d) Suppose we want the (i)  lower 10 percentile and  the (ii) upper 10 percentile of patients' stays, what are the cut-off values.  

   

     

   

0 STAT 193-54 AS 954 Proctored 0

STAT 193-54 Onl

multi 6

list 2 0.566667 1

list 2 0.46667 1

list 2 0.2 1

list 2 17 1

list 2 96.3333 1

list 2 9.814955 1

multi 5

list 2 .029 1

list 2 (77,68.5, 1

list 2 0.66667 1

   

   

Question 3: (1 points)

 . If Y if Y is normally distributed with mean 80 and variance 20, obtain the standardized values (Z) for the

following Y values (a) 87 (b) 88.95 (c) 72 (d) 68 (e) 93  

   

     

   

   

   

Question 4: (1 points)

 .

TheThe scores in STAT 193 is believed to follow the normal distribution with mean 72 and variance 90. What is the proportion of students whose scores :

(a)   Lie between 55 and 81?(b)   Are less than 50?(c)   Greater than 95? aa

a  

     

   

Question 5: (1 points)

 . TheThe scores in an aptitude test is believed to follow the normal distribution with mean 66 and

list 2 63.4 1

list 2 91.6 1

multi 5

list 2 .35 1

list 2 .4475 1

list 2 -.4 1

list 2 -.6 1

list 2 .65 1

multi 3

list 2 .114822 1

list 2 .41207 1

list 2 .39059 1

multi 3

variance 53. What is the proportion of candidates whose scores :(a)   Lie between 50 and 77?(b)   Are less than 47?(c)   Greater than 82?

 

     

   

Question 6: (1 points)

Y is normally distributed with mean of 110 and variance of 104.  Find the following probabilities:

 

   

 

   

Question 7: (1 points)

X, the IQs of 12 year-olds are normally distributed with mean 100 and variance 112. Find the probability that a 12-year old is

   

 

   

   

Question 8: (1 points)

 The University of Western Ontario found that for junior nurses working across Ontario, a whopping 66% were

experiencing "symptoms of burnout, including emotional exhaustion and depression." Based on this, if a sample of 150 junior nurses in Ontario is taken, what is the probability that the proportion experiencing symptoms of burnout, including emotional exhaustion and depression, will: (a) exceed 0.72? (b) lie between  0.6 and 0.75? (c) be no more than 0.57?

(a)=   

list 2 .20084 1

list 2 .359988 1

list 2 .381369 1

multi 3

list 2 .080396 1

list 2 .523003 1

list 2 .54973 1

multi 4

list 2 .51 1

list 2 .0462 1

list 2 .049596 1

list 2 .460881 1

multi 3

list 2 .048 1

 (b)=   

(c)=    

Question 9: (1 points)

 The US Department of Education states that students at for-profit institutions represent 11% of all students, and

their graduates represent 43% of all education loan defaulters. If 920 students of for-profit institutions who took education loans are surveyed, what is the probability that the proportion of defaulters: (a) is more than 0.39?   (b) between 0.38 and 0.46? (c) is less than 0.45?  

(a)=   

 (b)=   

(c)=    

Question 10: (1 points)

For the distributions mentioned below, assume that large samples of n have been chosen from them, apply the central limit theorem and determine (a) the distribution of the sample mean (b) the variance (c) standard deviation of the ensuing distribution. Y is binomially distributed with n=50; p=0.44; and sample size m=100;

     

mean=   

variance=   standard deviation 5.38

Question 11: (1 points)

Over the years, a city has kept a record of the daily amount of suspended particulate matter in the air. It is known that the daily mean amount of suspended particulate matter in a city is 68μg/m2 with a variance of 102.82 μg2/m3. A sample of air quality in the city is taken for thirty-seven days . What is the probability that the mean will: (a) exceed 71.5μg/m2? (b) be between 63.5 and 72.3μg/m2? (c)   be less than 64μg/m2?

(a)=   

(b)=   

(c)=    

Question 12: (1 points)

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list 2 .01 1

multi 3

list 2 .006 1

list 2 .967 1

list 2 .8957 1

multi 3

string Normal

list 2 44 1

list 2 29.04 1

multi 3

list 2 1

list 2 1

list 2 1

   In 2009, the mean score of participants from Minnesota in SAT Critical Thinking test is 595 with variance of 11025. If a sample of sixty participants were to be taken from this group, what is the probability that the mean is: (a) less than 572? (b) between 577 and 590? (c) greater than 610?

(a)=   

(b)=   

(c)=     

multi 3

list 2 1

list 2 1

list 2 1