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A beg contain 14 identical balls. 4 of which are red, 5 black and 5 white. Six balls are from the beg. Find the probability that (i) 3 are red (ii) at least two are white.(iii) 4 black balls. *
If variance for the performance of students is12,5 and the mean is 32,5 what will the standard deviation
A study conducted by a TV station in a particular town showed the number of televisions
per household and the corresponding probabilities for each.

Number of televisions X 1 2 3 4
Probability P(X) 0.38 0.61 0 0.03

a. What is the probability that there are 3 televisions in a household?
b. What is the probability of having 2 or more televisions in a household?


You have a data set with 50 cases (where each case is a calendar year). Based on this data, you have the following statistics:

  • mean of the x-variable: 2.19%
  • standard devation of the x-variable: 8.58%
  • mean of the y-variable: 10.33%
  • standard devation of the y-variable: 20.24%
  • correlation between the two variables: 0.432

Suppose that the mean change in January is 3.35%. What is the predicted value of the change in the stock market index for the year?

Enter your answer to 2 decimal places in percent format

If the variance of the performance score of students is 12,5 and the mean is 32,5, what will the standard deviation be
A continuous random variable x has density function
f(x)= 3/4x(2-x) , 0<x<2
Find p(x>1/4)
A small voting district has 101 female voters and 95 male voters .A random sample of 10 voters is drawn .what is probability that exactly 7 of the voters will be female?

Defects in large plates of glass occur ,on average ,one per 10 square feet .what is probability that a 6x10 sheet will contain no defect.

ii. At least one defect?


Imagine a secondary school which has 100 students in it's 12 grade class 50 students studies mathematics 29 studies biology 13 study both subjects.
What is the probability that the students studies biology but not math
suppose that an airplane engine will fail, when in flight, with probability 1−p independently from engine to engine; suppose that the airplane will make a successful flight if at least 50 percent of its engines remain operativ
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