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Hospital records show 12% of all patients are admitted for surgical treatments, 16% are
admitted for obstetrics, and 2% receive both obstetrics and surgical treatment. If a new patient
is admitted to the hospital, what is the probability that the patient will be admitted either for
surgery, obstetrics, or both?
Consider the die-toss experiment. Define the following events:
A: {Toss an even number}
B: {Toss a number less than or equal to 3}
a) Describe

An IT employee living at Noida frequents one of the two restaurants KARIM or NAZEER, 70% of the time and 30% of the time. Regardless of where he goes, he orders Afghani Chicken 60% of his visits.

(a)   The next time he goes into a restaurants, what is the probability that he goes to KARIM and orders Afghani Chicken?

(b)  Are the two events in part a independent? Explain.

(c)   If he goes into a restaurants and orders Afghani Chicken, what is the probability that he is at NAZEER.

(d)  What is the probability that he goes to KARIM or orders Afghani Chicken or both?


The mean height of 1000 students at a certain college is 165 cms and S.D  is  10 cms. Assuming  normal  distribution , find  the  number  of students whose height is a).Greater than 172 cm. b).between 159 and 178cm.


Test the degree of association or significant relationship between the teaching
performance and management performance of the faculty members of school using the
Pearson product moment method at 0.05 level of significance. Give the decision.
Teachers Teaching
Performance
Management
Performance
A 3.6 3.8
B 4.4 3.9
C 4.1 2.0
D 4.0 2.8
E 4.0 2.9
F 3.4 3.0
G 2.8 4.5
H 4.9 3.3
I 3.6 2.9
J 3.0 3.0
K 3.5 3.8
L 3.0 2.7
M 4.3 3.2
N 3.2 3.3
O 4.3 3.4
P 3.4 4.1
Q 3.8 4.3
R 3.9 4.4
S 4.6 3.8
T 3.5 3.3
In a correlational study using the Pearson r formula, answer the hypothesis of:
There is no significant correlation between the height and weight by 10 students.
Data:
Students Height in Inches Weight in lbs.
A 62 108
B 62 144
C 61 115
D 60 110
E 59 100
F 56 115
G 62 88
H 62 100
I 66 94
J 62 125
Formula:
Suppose a simple random sample of size n=50 is taken from a population of N=15,000 with a population proportion of p=0.4 having a certain characteristic. What is the probability that a simple random sample will have x > 21 having that characteristic?

(Round to four decimal places)
What is the smallest sample size needed so that a sampling distribution of a sample proportion can be claimed approximately normal from a population with a proportion of p=15%?

(Round to the next whole number)
Let A = {2,4,6} and B = {x,y,z}. State each of the following are relations from A into B.
(v) R5 = {(x,2), (4,z), (2,z), (6,y)}
Let A = {2,4,6} and B = {x,y,z}. State each of the following are relations from A into B.
(iv) R4 = {(4,y), (6,x), (4,x)}
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