(1) Dr Mukonda’s performance of his 170 Biostatistics class of students is given in an incomplete distribution below.
Variable 0-10 10-20 20-30 30-40 40-50 50-60 60-70
Frequency f1 21 32 40 21 26 f7
(a) If the median is 35. After finding the missing frequencies, find the standard deviation and present this information
on a pie chart.
(b) Statistically, explain if these results are normally distributed.
The probability of passing a physics class is 75%. If Tom and Alice both take physics, match the area models below to the correct scenario.
Find the 99th percentile of the normal curve
Independent Activity IV
Face Mask
Julia is a boutique shop owner in her town. Due to COVID-19 pandemic, wearing a
face mask of a person is required for their safety. Since there are limited stocks
available, she decided to start another business by making a face mask. She started
selling face masks from day 1 to day 10. The data she collected is shown in the table
below.
Illustrate a probability distribution of a random variable X showing the number of
face mask sold per day and its corresponding probabilities.
Day
1
4
5
6
7
8
Number of Face Mask (X)
25
20
15
14
15
10
12
10
15
14
9
10
Suppose that a new cold prevention drug was tested in randomized ,placebocontrolled ,double-blind experiment during the month of december . One thousand healthy adults were randomly divided equally , a treatment group and a control group . the treatment group was given the new drug and the control group received a placebo . During the month ,50 people in the treatment group and 130 people in the control group caught a cold
by using your suitable assumption of level of significance ,discuss an appropriate hypothesis testing with complete steps to evaluate the effectiveness of his new drug for cold prevention
(10 marks)
Supposefour coins are tossed. Let X represents the number of tails that occur. Illustrate a probability distribution of a random variable X USING FRACTION
collect an information of any variable for 20 data from your university's members . write a report based on statistical measure that you have learned to represent your data in your data must consist of
i) introduction
ii) objective of your report
iii) method of data collection
iv) list of data (ungrouped and grouped representation)
v)appropriate graph
vi)appropriate statistical measure with explanation
vii) conclusion
Remarks Data
1) data example :Student learning time in a day
2)Data must be genuine and differ from each student
(20marks)
i'm not sure it's under real analysis or other hahah
maybenu will know what the question wants
If a random variable u has t -distribution with n degree of freedom, find the
distribution of u^2.
For normal distribution with mean zero and variance 2
σ show that :E(X)=root of (2/pi) sigma
) If the moment generating function (m.g.f.) of a random variable X is
( ) exp 3( 32 ). 2 M t t t X = + Find mean and standard derivation of X and also compute
P(x < )