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Statistics and Probability
Find M.P. test of size 0.4 for testing H0:p(x)=p0(x) vs H1:p(x)=p1(x) based on single observation
x : 0 1 2 3 4 5
p0(x) : 1/6 1/6 1/6 1/6 1/6 1/6
p1(x) : 0.5/6 0.5/6 1.5/6 1.5/6 1.2/6 0.8/6
Also find power of test
x : 0 1 2 3 4 5
p0(x) : 1/6 1/6 1/6 1/6 1/6 1/6
p1(x) : 0.5/6 0.5/6 1.5/6 1.5/6 1.2/6 0.8/6
Also find power of test
Statistics and Probability
What is mode?Explain the three important methods of estimating the mode of a series.
Statistics and Probability
Two dice are thrown. What is the conditional probability of a total score of at least 8, given that one of the dice has thrown 4 .
Statistics and Probability
A lottery consists of 300 lottery tickets. There are 20 tickets with some prize and only two of them with the grand prize. Alex bought 12 tickets. Find the probability that he won at least one grand prize if he won 5 prizes.
Statistics and Probability
how fast do you respond to questions?
Statistics and Probability
given a sample with n=12, x=30.2, s=2.2: find the standardized test statistic t, and beta=.01 if null: u=29.
Statistics and Probability
In the screws manufactured by a certain machine, 3 percent are found to be defective. If a
sample of 12 is taken, what is the probability that (5 Marks)
a) exactly four are defective
b) Not more than four are defective.
sample of 12 is taken, what is the probability that (5 Marks)
a) exactly four are defective
b) Not more than four are defective.
Statistics and Probability
An urn contains 7 white balls and 10 red balls. Five balls are selected. In how many ways can the 5 balls be drawn from the total of 17 balls:
iii) If all 5 balls are red?
iv) If all 5 balls are white?
v) If at least 4 are red balls?
vi) If at least 2 are of same color?
iii) If all 5 balls are red?
iv) If all 5 balls are white?
v) If at least 4 are red balls?
vi) If at least 2 are of same color?
Statistics and Probability
Que-1. The probability that a bulb produced by a factory will fuse after certain period of time is 0.05. Find the probability that out of 5 such bulbs a. None fuses b. Not more than 2 fuse c. More than 2 fuse
Statistics and Probability
Que-1. The probability that a bulb produced by a factory will fuse after certain period of time is 0.05. Find the probability that out of 5 such bulbs a. None fuses b. Not more than 2 fuse c. More than 2 fuse
Que-2. A supplier of components to an electronic industry makes a sophisticated product which sometimes fails immediately it is used. He controls his manufacturing process so that the proportion of faulty products is supposed to be only 5%. Out of 400 supplies in a batch, 26 prove to be faulty. Verify the manufacturer’s claim. Use 0.05 level of significance.
Que-3. The ages of husbands and wives in a community were found to have a correlation coefficient equal to +0.8; the average of husbands’ ages was 25 years and that of wives’ ages 22 years; their standard deviations were respectively 4 and 5 years. Find the two lines of regression and from the lines ,measure a. The expected age of husband when wife’s age is 12 years b. The expected age of wife when husband’s age is 33 years
Que-2. A supplier of components to an electronic industry makes a sophisticated product which sometimes fails immediately it is used. He controls his manufacturing process so that the proportion of faulty products is supposed to be only 5%. Out of 400 supplies in a batch, 26 prove to be faulty. Verify the manufacturer’s claim. Use 0.05 level of significance.
Que-3. The ages of husbands and wives in a community were found to have a correlation coefficient equal to +0.8; the average of husbands’ ages was 25 years and that of wives’ ages 22 years; their standard deviations were respectively 4 and 5 years. Find the two lines of regression and from the lines ,measure a. The expected age of husband when wife’s age is 12 years b. The expected age of wife when husband’s age is 33 years
