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Statistics study consist on topics like estimates, estimator, F distribution, sampling, multiplication theorems, probability, random variable, T distribution, geometric probability distribution, marginal probability, skewness, symmetrical distribution and transformation. This quiz includes: Joint, Probability, Random, Variable, Observations, Confidence, Interval, Sample, Mean, Frequency, Stem, Leaf, Population
Typology: Exams
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4. find value of A in joint probabilty of f(x,y) for exp AY-x/2 whereas 0<y<1, 0<x<1.
1.A random variable X is normally distributed with
50 and ^2 25
. Find the probability of x larger than 54.
2.A random sample of 50 observations is drawn from a normal distribution
with 2 52
. Suppose that the sample mean is found to be X^ 71.Find 95%
confidence interval for
3.Find the value of chi-square from the following table.
Number of
Custome
r
Arrivals
Observed Frequenc y oi
Expected Frequency ei
9 or
more
4.Construct a stem-and-leaf display from the following data. 48, 31, 54, 37, 18, 64, 61, 43, 40, 71, 51, 12, 52, 65, 53, 42, 39, 62, 74, 48, 29, 67, 30, 49, 68, 35, 57, 26, 27, 58.
5.The p. d. f. of a r.v. is given
(^4 0 ) 5 0
f x x x
elsewhere
Calculate P(X<0.5)
6.If population proportions are given as:
Find
(^1 )
2
,where n = 10
7.Formulate the null and alternative hypothesis in each of the following. (1) Average domestic consumption of electricity is 50 units per month. (2) Not more than 30% people pay Zakat (tax).
10.An exercise physiologist wants to demonstrate that the average person walks more than 800 km per year. State the null and alternative hypothesis.
P 1 0.30, P 2 0.20.
Construct the 95% confidence interval for the difference between the two population means. ( 5)
find the critical value of chi-square a boy sell ambrellas on rainy days and earn 30$ and in other days he can earn 24$ , if the propability of rain is 0.3% what will he expectation? some data was given,find P(X>25)