By Iram Imtaiz
sta301 final paper
For the given grouped data, compute the MEDIAN value.
Group Frequency
51 – 55 1
56 – 60 7
61 – 65 8
66 - 70 4
Calculate first two moments about mean from the following data.
X= 11,12,14,15,16,18,19
a) From the given binomial probability distribution, , find and .
b) In a binomial distribution, the mean and the variance were found to be np =12.38 and npq =8.64 respectively. Find the two parameters of binomial distribution.
c) A random sample of 8 observations is drawn from a normal distribution with . Suppose that the sample mean is found to be Find 90% confidence interval for .
d) (Use table value as )
e) Data: 71, 64, 54, 51, 65, 74, 52
f) Use the above data to complete the following stem-and-leaf table.
Stem Leaf
5
6
7
Define Cartesian product. Construct a Cartesian product for the following two sets A = {a,b} and B = {1,3,5}
A fair coin is tossed 25 times. Applying normal approximation to the binomial distribution, find the mean and variance.
Formulate 90% confidence interval for population variance.
rite down the formula of 78th Percentile.
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