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whenever horses a,b and c race together , their respective probabilities of winning are 0.3, 0.5 and 0.2. they race three times .
(a) Find the probability that the same horse wins all three races .
(b) Find the probability that a,b,,c each win one race.
a) The utility function for a consumer utility is U=30Q11/2Q21/2 . If the price per unit of Q1 is Kshs 10 and Kshs 5per unit of Q2, determine quantities Q1 and Q2 that the consumer should have to maximize utility if the consumer budgeted Kshs 350 (7 Marks).
b) Assuming there are two goods X and Y and two persons, analyze the exchange of goods between the two using the Edge worth Box framework indicating the Pareto efficient allocation (16Marks).
c) Clearly describe substitution effect and income effect for a fall in price for a normal good and an inferior good
The initial concentration of 1.8 *103moldm-3 was found to be 85% complete after 7.5 minutes. What is the final concentration of the reacting system if the total time of the reaction was 11minutes?
The rate constant k= 3.6*107dm-3mol-1 at 298k for the second order reaction of two gaseous pollutant
NO+O3- NO2+O2
If the initial concentration of the reactants is 0.15gdm-1 , what is the final concentration?
The site of DNA molecule coding polypeptide has the following sequence of nucleotides: AAA
ACC AAA ATA CTT ATA CAA. You shall identify the structure of polypeptide chain coded by this DNA
site.
One of the glucagon chains has the following order of amino acids: threonine-serine-
asparagine- tyrosine-serine-lysine-tyrosine You shall identify the structure of DNA site coding this part
of glucagon chain.
In the chain of ribonuclease of pancreas one of polypeptides has the following amino acids:
lysine-asparaginicacid-glycine-threonine-asparaginicacidglutaminicacid-cysteineYoushalldetermine
mRNA controlling the synthesis of the mentioned polypeptide.
A sports car accelerates from rest to 26.8 m/s (roughlv 60 min) in 5.1 seconds. What le the acceleration the car
anil is given a sentence as he tries to make a sentence special a sentence can be made special by swapping the character with high frequency with the character having low frequency in the sentence help anil by transforming the sentence into. a special sentence in python.
swap most frequent letter with least given a sentence, swap the occurrences of the most frequenti with the least frequent letter and vice-versa. submisdong note: • consider upper and lower case letters as different . if there are multiple letters with the same frequency, choose the lower case letter that comes earliest in dictionary order o if letters like x and b have same frequency consider x o if letters like x and b have same frequency consider b.
Input: Python is a programming language
Output should be: Python is e progremming lenguega
Input : check your blood pressure frequently
Output : check ybur olbbd pressure frequently
Lowest and highest score. The teacher gave out the scores of the science quiz conducted last week and asked the ones with the lowest and highest scores to group up. Print the names of the students with minimum and maximum scores, respectively.
Note: In case of a tie, choose the name which comes first in the (dictionary order).
Input : 2
shakti 24
disha 26
output: shakti disha
input: 3
ajay 23
bijay 24
sanjay 23
output: ajay bijay
