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He wants to know how to identify the regions under the normal curve corresponding to different standard normal values. Your friend will send a picture of a normal curve with the corresponding area, and he asks you favor to explain each picture on how to obtain the value of the shaded part of the normal curves. Here is the screenshot of the
pictures.
the first image is P(z>2.19) , probability is 11.7%
second image P(-2.56<z<1.96), probability is 96.98%
Check the limit of the function f(x,y) = 3x^2y/(x^2 + y^2) at origin exist or not
supposed 100 refrigerator were manufactured during a day. ninety five operated perfectly and 5 had atleast one defect. a sample of four is selected at random. using the hypergeometric distribution formula, find the probability that 8 of the 10 will operate perfectly?
1. Write the following sentences in the form of if... then and then find the inverse, converse,
and contrapositive [8]
i) You can become successful and happy unless you lead a lazy life.
ii) We enter the password or we click on the forget password button is necessary for
us to login into the system and create a user profile.
2. With all the steps find out if the following system specifications are consistent or
not- [7]
i) If you study well, then you will get a good grade.
ii) We did all the assignments is necessary for us to get a good grade.
iii) We didn’t do all the assignments.
3. Use any of the two proof methods to prove the following- [5]
∼((∼a ∧ b) ∨ (∼a ∧ ∼b)) ∨ (a ∧ b) ≡ a
A rental home on EWD apartelle rents for 1,000.00 a night for the first three nights, 900.00 for the next three nights, and 800.00 a night for each remaining night. The total cost T is a function of the number of night's n that a guest stays.
Create a function model defined
In a certain city, the daily consumption of electric power, X (in millions of kilowatt hours) is a random variable where X ~ Gamma (α, β) with a mean of 6 and a variance of 12. i) Find α and β. ii) Given a month has 30 days, how many kilowatt hours should we expect the city to consume during the month?
THE PROBABILITIES THAT A SURGEON OPERATES ON 3,4,5,6 or patients in any one day are 0.15,0.20,0.25,0.20 and 0.20 respectively
. A population consists of the four numbers 1, 2, 8, and 9. List all the possible
samples of size n = 2 which can be drawn without replacement from the population.
Find the following:
a. Population mean
b. Population variance
c. Population standard deviation
d. Mean of the sampling distribution of sample means
e. Variance of the sampling distribution of sample means
f. Standard deviation of the sampling distribution of sample means
A population consists of the four numbers 1,2,8 and 9.List all the possible samples of size n=2 which can be drawn without replacement from the population.Find the following
A committee of 5 members is to be formed from a group of 8 men and 5 women professionals. Let Y denote the number of women in the committee. If the selection is done randomly, determine the probability mass function of Y. What is the probability that the committee has at most 2 women?
