Statistics and Probability Answers

The world is currently experiencing one of the most devastating pandemic in modern history. This pandemic is caused by a virus known as corona virus and the disease is referred to as COVID-19. A lot of conspiracy theories and speculations have since emerged and are being spread everywhere. Identify some of the major conspiracy theories and false information regards COVID-19 and argue scientifically why such information is not correct.

At the ministry of Health headquators, you are in charge of rationing Southern province the area affected by hunger.

The following reports about daily calorier value of food available per adult during current period arrive from your

local investigaters. The estimated requirement of an adult is taken at 3000 calories per day and the absolute minimum at 1250. Advise the ministry by commenting on the reported figures and determine which in your own opinion needs more urgent attention

Areas of Kaoma Mean Standard deviation

Gwembe 2580 700

Namwala 2300 500

Mr Mukonda’s perfomance of his 170 Biostatistics class of students is given in an incomplete distribution below.

Variable. Frequence

0-10 12

10-20. 21

20-30 f1

30-40 40

40-50 f2

50-60 26

60-70 18

(a) If the median is 35. Find the missing frequences

(b) From Rusangu passing mark policy, explain if these results are normally distributed

There are 1000 students in the school of Engeering and Natural resources out of 20,000 in the whole coppebelt univesity. In the study 200 were found to be smokers in the school and 1000 in the whole university. Is there a

statistical significant difference between the proportions of smokers in the school and the university

The customer account at a certain department store has an average balance of 480 kwacha and the standard deviation of 160 kwacha. Assuming normal distribution, What proportion of the account is between 240 and 360.

Consider the two results of Mr Nyirenda courses: Medical miclo-biology I (X) and miclo-biology II (Y):

The coefficient of correlation between X and Y for 20 students is 0.3, Mean of X and Y are 15 and 20 respectively and also the standard deviation of X and Y are 4 and 5 respectively.

At the time of calculation one item 27 has wrongly been taken as 17 for X and 35 instead of 30 for Y. As a biostatistics student find the correct coefficient of correlation between X and Y for 20 students.

An automatic coffee machine is programmed so that it produced an average of 200 ml per cup. The amount of coffee follows a normal distribution with standard deviation equal to 10ml. if 25% of the drinks are below k value, find the value of k?

In case of drawing a card, what is the probability of getting:

a. Black even number card

b. Red face

c. Black heart

A pharmaccetuical firm maintains that the mean time for a drug to take effect is 24 minutes.In a sample of 400 trails ,the mean time is 26 mintues with a standard deviation of 4minutes.test the hypothesis that the mean time is 24 minute against the alternative that it is not equal to 24 min.use a level of signifixance

Select three fans randomly at a football game in which Penn State is playing over Notre Dame. Identify whether the fan is Penn State fan (P) or a Notre Dame fan (D). Let X be the number of Penn State fans.