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The manufacturer sells an article in lots of hundred and agree to pay the purchaser a penalty of no if five or more articles in a lot are defective. He knows from past experience that, on average, 2% of the articles are defective. It costs €2 to make each article, what should the selling price be if the manufacturers over all profit is to be 25%?
Each time Caroline goes shopping she decides whether or not to buy fruit.
The probability that she does buy fruit is 0.4.
Independently, she then decides whether or not to buy a CD, with a probability of 0.2 that she does buy a CD.
Work out the probability that she buys fruit or buys a CD or both.
Let X1,X2,....
..Xn be independently and identically distributed b(1, p) random
variables. Obtain a confidence internal for p using Chebychev’s inequality.
From a bag containing 3 pencils, 2 rubbers, and 3 pens, a random sample of 4 pieces of stationary is selected. If X is the number of pencils and Y is the number of rubbers in the sample, find the joint probability distribution of X and Y?
From a bag containing 3 pencils, 2 rubbers, and 3 pens, a random sample of 4 pieces of stationary is selected. If X is the number of pencils and Y is the number of rubbers in the sample, find the joint probability distribution of X and Y?
A study found that average Malaysians are making average monthly debt payments of
RM1200.
City Debt
George Town 1568
Kuala Lumpur 1385
Ipoh 1383
Kuching 1383
Putrajaya 830
a. Specify the population parameter to be tested. (1 Marks)
b. Specify the null and alternative hypotheses to test whether average monthly debt
payments are greater than RM1100. (2 Marks)
c. Calculate the sample mean debt payment and the sample standard deviation.
(2 Marks)
d. Compute the value of the appropriate test statistic. (2 Marks)
e. At the 10% significance level, calculate the p-value. (2 Marks)
f. At the 10% significance level, can we conclude that the average monthly debt payments
are greater than RM1200? (1 Mark)
what is probability
Draw the scatter plot and explain its relevance in quantitative research
It has been found that 2 % of the tools produced by a certain machine are defective . What is the probability that in a shipment of 4 0 0 such tools , 3 % or more will be prove defective ?
A school principal claims that grade 11 students have a mean grade of 86 with a standard deviation of 4. suppose that the distribution is approximately normal. What is the probability that a random selected grade will be greater than 82 but less that 90?
