Statistics and Probability Answers

The height of the students in a certain class is following normal distribution with mean height as 165 cm and standard deviation of 25 cm. There are 60 students in that class. Determine
i. The number of students whose height is more than 158 cm.
ii. The number of students whose height is lying between 155 and 172 cm.

Determine the value of c that makes the function, f(x,y) = cxy a joint probability density function over the range 0 < x < 3 and 0 < y <x.

c = ______ Round your answer to four decimal places (e.g. 98.7654).

Determine the following:

a. P (X < 1.4, Y< 2.2) = ___ Round your answer to three decimal places (e.g. 98.765).
b. P ( 1.4 X < 2.2) = ____ Round your answer to three decimal places (e.g. 98.765).
c. P (Y > 1) =___ Round your answer to three decimal places (e.g. 98.765).
D. P (X < 2, Y < 2) = ____ Round your answer to three decimal places (e.g. 98.765).
E. E(X) = ____ Round your answer to three decimal places (e.g. 98.765).
F. E(Y) = ____ Round your answer to three decimal places (e.g. 98.765).

The following table shows the number of males and females who are hypertensive and
obese in a research study.
Subject Hypertensive Obese Total
Male 10 42 52
Female 43 5 48
Total 53 47 100
Define and illustrate the concept of confidence interval and degree of freedom with the help of an example.

For the standard deviation σ or s and the standard error SE,describe it

The mean height of 50 male students who showed above-average participation in college athletics was 173.3 cm with s.d. 6.4 cm, while 50 male students who showed no interest in such participation had a mean of 171.5 cm and s.d. 7.1 cm. Test the hypothesis that male students who participate in college athletics are taller than other students at 5% level of significance using sample s.d. as an estimate of population s.d. By how much the sample size of each group should be increased in order that the observed difference of 1.8 cm in the mean heights is significant at the same level of significance.

Super bikes arrive in a 12 lot showroom. Inspections are carried out on six out of every 12. For
one lot, it is known 2 out of 12 do not meet the safety standards prescribed. What is the
probability that at least 2 out of the 6 that were tested from that lot will not meet safety
standards?

Statistics department data show that 20% of Pakistani age 18 and over holds a certificate of matriculation. If 10 Pakistani national age 18 and above are randomly selected, find the probability that at least 3 will have certificates of matriculation.

a cetain company has 850 employees distributed into four department wiyh population 50, 200, 450 ,150 respectively.If you wish to determined the sample size ,what technique would you adopt in statistics?

What do you understand by primary data and state any 2 advantages of primary data

List any Three advantages and three limitations of observation as a method of collecting data