(b) The following is the frequency distribution of the profit made by 100 companies in Mombasa in 2016. Profit 100-120 120-140 140-160 160-180 180-200 200-220 220-240 (Ksh M) Number of 1 21 31 19 20 2 companies As an incentive from the government, firms that earn a profit below Ksh.165M pay a fixed tax of Ksh.30M while those earning above Ksh.165M pay a fixed tax of Ksh.20M. (i) How many companies earn above Ksh.165? (ii) What was the total tax paid by all the companies? Test whether the distribution above exhibits properties of a normal distribution. (iii)

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Chapter1: Combinatorial Analysis
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(b)
The following is the frequency distribution of the profit made by 100 companies
in Mombasa in 2016.
Profit
100-120
120-140
140-160
160-180
180-200
200-220
220-240
(Ksh M)
Number of
1
21
31
19
20
6.
2
companies
As an incentive from the government, firms that earn a profit below Ksh.165M
pay a fixed tax of Ksh.30M while those earning above Ksh.165M pay a fixed tax
of Ksh.20M.
(i)
How many companies earn above Ksh.165?
(ii)
What was the total tax paid by all the companies?
Test whether the distribution above exhibits properties of a normal
distribution.
(iii)
Transcribed Image Text:(b) The following is the frequency distribution of the profit made by 100 companies in Mombasa in 2016. Profit 100-120 120-140 140-160 160-180 180-200 200-220 220-240 (Ksh M) Number of 1 21 31 19 20 6. 2 companies As an incentive from the government, firms that earn a profit below Ksh.165M pay a fixed tax of Ksh.30M while those earning above Ksh.165M pay a fixed tax of Ksh.20M. (i) How many companies earn above Ksh.165? (ii) What was the total tax paid by all the companies? Test whether the distribution above exhibits properties of a normal distribution. (iii)
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