Statistics and Probability Answers

Find the area between = -2 & 3

What ia the total area tocthe left of z = 2.18?

If the second moment of a Poisson distribution is 6 , find the probability P(X ≥ 2).

The regression equation of y on x and that of x on y are
8x −10y + 66 = 0
and 40x −18y = 214 respectively, and the variance of x is 9.
(i) Find σy .

Which of the following statements are true or false? Give reasons for your answers.
(i) If P(A)= 0.4, P(A∪B)=0.7 and A and B are independent sets, then P(B)= 0.55.
(ii) By Chebyschev's inequality, P{|x-μ|≥2σ} ≤ 0.2

In a sequence of 4 trials with probability of success p=1/3,what is the probability that there will be exactly two successes?

if the second moment of a poisson distribution is 6, find the probability P(X>=2).

A website has on the average two hits per hour. Assuming a Poisson distribution for
the number of hits per hour (X), calculate the probability that there are at most three
hits.

A survey on a sample of students taking elementary Statistics was conducted.The data shown in Table 1 represents the current semester of each student. Please take note 1=Semester 1, 2=Semester 2, 3=Semester 3, 4=Semester 4, and 5=Other semester.

Table 1 / Jadual 1
4 3 3 2 2 1 2 3
2 1 1 2 4 5 3 3
2 1 3 2 4 1 1 2
3 4 2 2 1 2 1 2
1 3 2 2 1 1 4 3
4 5 1 3 4 3 2 1
1 2 2 1 1 2 1 3
3 2 1 1 1 2 1 4

a) Constructa frequency and relative frequency distribution table of the student’s (4)
Semester of study.
b) Construct a bar chart based on the frequency tablein (a). (4)
c) Hence given your comments based on the bar chart obtained in (b) (2)

Solve the following integer linear programming problem:
Max 2x1 + 5x2 + 7x3

Subject to,
4x1 + 3x2 + x3 ≥ 29

Where x1, x2, x3 are non-negative integers.

Find the probability that the sum is as stated when a pair of dice is rolled. (Enter your answers as fractions.)
(a) odd and doubles


(b) odd or doubles