Question 686389: I Attempt all questions show all the necessary steps in your work
1. If P(A) =1/3 and P(B)=1/4, then
a. Can A and B be disjoint?
b. Explain your reason for (a)
2. Give P(A)= 0.5 and p (A-B) = 0.6 find p(B) if
a. A and B are mutually exclusive
b. A and B are independent
3. If x is a random variable with poison distribution satisfying p (x=1) = p(x=2), then;
a. What is the expected value of this random variable x?
b. What is the standard deviation of the random variable x?
4. Suppose x is binomially distributed with parameters n and p such that
∑(x) =5 and var (x) = 4. Then find the value of n and p
5. Thirty six rates were fed a given ratio and showed an average gain in weight of 145gms. The estimated standard deviation of the mean was 4gms at the 5% level of significance can we conclude that the mean gain under this ratio is less than 150gms for this question?
a. State the test of hypothesis
b. What is the appropriate test statistics?
c. Based on the information provided, test the hypothesis and make appropriate conclusion.
6. A customer service desk receives an average of five customers per hour. Based on this rare event compute the probability of the following
a. More than two people will request service in a particular hour
b. What is the mean number of arrivals per hours?
c. What is the standard deviation of the numbers of arrivals per hour?
7. Give that x is a random variable whose distribution is normal with mean 50 and variance 100. Then find
a. P(x≤62)
b. P(42
c. P(38
8. A random sample is normally distributed with mean 50 and variance 16. A sample size of 25 is drawn from the population compute.
a. The probability that the sample mean exceeds 51?
b. The probability that the sample mean will be between 48.5 and 51.5?
9. An engineer wishes to make analysis based on the sample data obtained from is 7 experimental plots where his observations are
7, 6,5, 7,8,9,7
Based on this observation compute
a. Range
b. Mean, median and mode
c. The variance
d. What type of distribution do you think that this data set possesses?
10. The following summaries are obtained from a certain set of grouped data with 8 classes.
8 8 8 2
∑f=100, ∑f=100, f,x=670, ∑ f,x = 4764
I=1 i=1 i=1
Based on these summaries compute the standard deviation?
Answer by lynnlo(4176)   (Show Source):
You can put this solution on YOUR website! OK,WHY WOULD YOU THINK THAT A TUTOR WOULD DO YOUR ENTIRE WORK FOR YOU,1 OR 2 QUESTIONS IS OK,BUT FOR YOU TO WANT SOMEONE TO DO ALL YOUR WORK ITS NOT GOING TO HAPPEN,WE HAVE OTHER STUDENTS TO HELP,CAN NOT SPEND SO MUCH TIME OWN 1 PERSON
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