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Patients arrive at hospital accident and emergency at random at an average rate of 6 per hour. Find the probability that, during any 60-minute period, the number of patients arriving at the hospital accident and emergency department is at least 2. Round off answers to 4 decimal places.
Assume that when adults with smartphones are randomly selected, 61% use them in meetings or classes. If 7 adult smartphone users are randomly selected, find the probability that exactly 3 of them use their smartphones in meetings or classes.
Bad gums may be evidence of a bad heart. Researchers have discovered that 85% of people who have suffered a heart attack had periodontal disease, an inflammation of the gums. Only 29% of healthy people have this disease.
a) Suppose that in a certain community, heart attacks are quite rare, occurring with only 10% probability. If someone has periodontal disease, what is the probability that he or she will have a heart attack?
b) If 40% of the people in a community will have a heart attack, what is the probability that a person with periodontal disease in this community will have a heart attack?
With a population of 15 and a sample size of 3, what is the total number of samples that are possible using:
Theoretical Sampling?
Experimental Sampling?
. Assume that X is a binomial random variable with n = 8 and p = 0.32 P (3 < X < 5)
- let x1 x2 xn be a random sample from a population with pdf ... f(x theta) =theta. e power - theta .x
find cramer roa lower bound for variance of unbiased estimator of theta
Write formula ( Not answer) for the operations ( for a - e) based on the spreadsheet given below along with the relevant cell address:
A B C D E F G H
Sr. no Name Gender Science Maths Computer Total Average
1 1 Max M 34 75 39 ? ?
2 2 Swati F 47 29 33 ? ?
3 3 Shruti F 83 51 42 ? ?
4 4 Ram M 63 94 68 ? ?
5 5 Neelu F 51 90 45 ? ?
6
7 Max ?
8 Total ?
9 Average Marks of Males M ?
10 Average Marks of females F ?
A. to calculate the Total Marks as sum of science, Maths and computers for each student and display them in column G.
B. To calculate the average marks for each student and display them in column H.
C. To calculate the highest marks in Computers and display it in cell F7.
D. To calculate the total number of students appearing in science and display it in cell D8.
E. To calculate the average marks for Male students in cell H9 and for female students in cell H10.
The probability that interest rates on housing loans will go up in the next 6 months is estimated to be 0.20. The probability that house sales will decrease is estimated to be 0.6. The probability that interest rates will go up and house sales will decrease is estimated to be 0.15. The probability that interest rates increase and house sales decrease is:
Select one:
a. 0.15
b. 0.71
c. 0.75
d. 0.85
Assume that human body temperatures are normally distributed with a mean of 98.18°F and a standard deviation of 0.61°F.
a. A hospital uses 100.6°F as the lowest temperature considered to be a fever. What percentage of normal and healthy persons would be considered to have a fever? Does this percentage suggest that a cutoff of 100.6°F is appropriate?
b. Physicians want to select a minimum temperature for requiring further medical tests. What should that temperature be, if we want only 5.0% of healthy people to exceed it? (Such a result is a false positive, meaning that the test result is positive, but the subject is not really sick.)
It was determined that the average weight of a newborn baby at the local hospital is 3.6 kg with a standard deviation of 0.7 kg. What is the probability that a newborn baby would weigh below 4.3 kg?
