A survey was done among people aged 65 years or older.It was
found that they had a 30% of suffering from stroke.If they suffered
from stroke,then their chances of developing cardiovascular
complications were 70%.However,if they did not suffer fromj stroke
then they had a 25% chance of developing cardiovascular complications.
Find the probability of:
I)Experiencing one of the stated health problems.
ii)Experiencing at least one of the stated health problems.
b)A tire manufacturer designed a new ambulance tread pattern for its
all-weather tires.Repeated tests were conducted on ambulances of
approximately the same weight travelling at 60 kilometres per hour.The
tests showed that the new tread pattern enables the ambulances to stop
completely in an average distance of 125 metres with a standard
deviation of 6.5 meters and that the stopping distances are
approximately normally distributed.
I)What is the 70th percentile of the distribution of stopping distances?
ii)What is the probability that at least 2 ambulances out of 5
randomly selected cars in the study will stop in a distance that is
greater than the distance calculated in part(I) above?
iii)What is the probability that a randomly selected sample of 5
ambulances in the study will have a mean stopping distance of at least
130 feet?

A survey was done among people aged 65 years or older.It was
found that they had a 30% of suffering from stroke.If they suffered
from stroke,then their chances of developing cardiovascular
complications were 70%.However,if they did not suffer fromj stroke
then they had a 25% chance of developing cardiovascular complications.
Find the probability of:
I)Experiencing one of the stated health problems.
ii)Experiencing at least one of the stated health problems.
b)A tire manufacturer designed a new ambulance tread pattern for its
all-weather tires.Repeated tests were conducted on ambulances of
approximately the same weight travelling at 60 kilometres per hour.The
tests showed that the new tread pattern enables the ambulances to stop
completely in an average distance of 125 metres with a standard
deviation of 6.5 meters and that the stopping distances are
approximately normally distributed.
I)What is the 70th percentile of the distribution of stopping distances?
ii)What is the probability that at least 2 ambulances out of 5
randomly selected cars in the study will stop in a distance that is
greater than the distance calculated in part(I) above?
iii)What is the probability that a randomly selected sample of 5
ambulances in the study will have a mean stopping distance of at least
130 feet?

Two drugs A and B were administered to two types of patients,and
Increase in sleeping times,in hours ,noted.There were 10 patients in
Each group,and the results were:
A:2.1 3.1 -0.1 -0.1 2.1 3.5 -2.4 5.5 4.8 -0.16
B:-1.1 2.1 -0.1 -1.1 3.1 0.8 -1.2 -0.6 2.5 -1.8
Test the hypothesis that A and B are equally effective at 5% level of
Significance.
Q12.The following numbers give the weights of 30 students in a Biology class.
I)Plot the frequency curve of the data.
ii)Calculate the mean weight
iii)Indicate the medianweight

Two drugs A and B were administered to two types of patients,and
Increase in sleeping times,in hours ,noted.There were 10 patients in
Each group,and the results were:
A:2.1 3.1 -0.1 -0.1 2.1 3.5 -2.4 5.5 4.8 -0.16
B:-1.1 2.1 -0.1 -1.1 3.1 0.8 -1.2 -0.6 2.5 -1.8

Test the hypothesis that A and B are equally effective at 5% level of
Significance.

The following numbers give the weights of 30 students in a Biology class.
I)Plot the frequency curve of the data.
ii)Calculate the mean weight
iii)Indicate the medianweight

42 74 40 60 82 41

53 110 76 84 50 65

68 69 104 80 79 54

66 49 77 90 84 42

72 50 79 52 103 51

.The mean length of ears in a population of ears of a certain
variety of wheat is 9.978cm, and the standard deviation is 1.441
cm.What is the probability of occurrnce of;
a) An ear having length of 12cm or more.
b)An ear of 6.536 or less

An incomplete distribution is given below:

Classes 10-20 20-30 30-40 40-50 50-60 60-70 70-80 TOTAL

Frequency 12 30 a 65 b 25 18 229

You are further given that the median is 46.Use the median formula to
Fill in the missing frequencies,and calculate the mean.

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)For a group of 200 students,the mean and standard devaiations
were found to be 40 and 15 respectively.Later on,it was discovered
that the scores 43 and 35 were misread as 34 and 53 respectively.Find
the corrected mean and standard deviation corresponding to the
corrected figures.
b)Find the variance of the following set of observations,using an
assumed mean of 55.

Class(X) Frequency(f)
20-30 3
30-40 61
40-50 132
50-60 153
60-70 140
70-80 51
80-90 2

a)The height(cm) and weight(Kg) of a sample of eight adult persons
are as shown below:

Height 177 163 168 174 184 184 171 173

Weight 71 67 62 73 80 85 69 77

I)Find a regression line to the data.
ii)Find the pearson correlation coefficient between height and
weight.What conclusion can you make?
b)The probability that a patient recovers from a certain disease is
0.3.If 5 people are known to have contracted this disease,what is the
probability that,
I)At least 3 survive.
ii)From 2 to 4 survive.
iii)Exactly 4 survive.