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5. The frequency distribution shows the salaries in million for specific year of top 25ceo’s in United States. Find the mean, variance and standard deviation.
Class Boundaries Frequency
15.5-20.5 13
20.5-25.5 6
25.5-30.5 4
30.5-35.5 1
35.5-40.5 1
between z= 0 and z =1.36
A certain manufacturer produces two product P & q. Each unit of product P requires
(in its production) 20 units of row material A & 10 units of row material B. each unit of
product of requires 30 units of raw material A & 50 units of raw maternal B. there is a
limited supply of 1200 units of raw material A & 950 units of raw material B. How many
units of P & Q can be produced if we want to exhaust the supply of raw materials?
Findi the length of the following confidence interval
1. Upper confidence limit = 0.622
Lower confidence limit = 0.465
The marks of 50 students (out of 60) in a certain examination are given below Marks
20-25
26-31
32-38
38-44
44-50
50-56 No. of students
7
13
12
6
8
4
Compute the following measures of central tendencies and variations
a) Mean
b) Median
c) Mode
d) Mean deviation about the median
e) First quartile (Q1)
f) 3rd decile (D3)
g) 50th percentile (P50)
h) Coefficient of variation
Determine the inverse of A, and show that A
−1A = I.
A =
(2 1 0
2 −1 1
3 −2 4)
Draw the directed graph of the following relation and identify the type relation on {a,b,c,d,e}.
A) [(a,c),(b,d),(c,a),(d,b),(e,d)]
Suppose that 4% of all TVs made by A&B Company in 2000 are defective. If eight of
these TVs are randomly selected from across the country and tested, what is the
probability that exactly three of them are defective? Assume that each TV is made
independently of the others.
The average cost of a certain type of grass seed is Birr 4.00. The standard deviation is
0.1 Birr. Find the minimum percentage of data values, which fall in the 3.82 to 4.18
range.
Suppose that you establish an IRA (Individual Retirement Account) at age 43 and you will retire after 22 years hence at age 65. You plan to make annual payments of Rs1000 into the IRA at the beginning of each year. If you assume a rate of return of 8.5 percent a year, calculate the future value of your IRA when you will retire at age 65.
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#339914 on Dec 2023