Q
Two events A and B are such that P(A) =2. P(B) =.3, aud P(A U B) =4. Find the following:
a. P(A intersection B)
b. P(A' U B')
c. P(A' intersection B')
d. P(A' |B)
A monkey Is to demonstrate that she recoginizes colors by tossing one red, one black,and one white ball into boxes of the same respective colors, one ball to a boOx. If themonkey las not leamed the colorS and nerely tosses one ball into each box al random,find the probabilities of the following results:
a. There are no color matches.
b.There i5 exactly one color match.
Q7
Suppose that two balanced dice are tossed repeatedly and the sum of the twouppermost faces is determined on cach toss. What is the probability that we obtana
.a) sum of 3 before we obtaim a sum of 7?
b). sum of 4 before we obtain a sum of 7?
Q8
Males and females are observed to react differently to a given set of circumstances. Ithas been observed that 70% of the females react positively to these circumstances,whereas only 40o of males react positively. A group of 20 people, 15 female and 5male, was subjected to these cireumstances, and the subjects were asked to describetheir reactions on a wIitten questionaire. A respouse picked at random fiom the 20was negative. What is the probability that it was that of a male?
Q9
A student answers a multiple-choice examination question that offers four possible
answers. Suppose the probability that the student knows the answer to the question is
8 and the probability that the student will guess is .2. Assume that if the student
guesses, the probability of selecting the correct answer is .25. If the student correctly
answers a question. what is the probability that the student really knew the correct
answer?
Q 10
The probability distribution for a random variable Y is given in table. Find the mean.
variance, and standard deviation of Y .
the speed of a 24 -Pole Synchronous Motor operating at 60 Hz would be
b) A store which deals in household groceries and kitchen electrical machines, wants to collect personal data about its customers. The company is preparing document to get registered by Data Protection Commissioner. Keeping in mind the 8 principles of DPA Act, which personal information should not be kept by the company about its customers?
Write a program in Python to enter three numbers and find the largest among the three
write python program
in a supermarket, when paying your bill amount, if your amount exceeds RO.100, You have an option of Cash or Credit Card. If you pay as cash you will get 6% of discount from your original amount, but for Credit Card there is no discount. When your amount is less than RO.100 you will have to pay by cash only with the discount of 3%.
write python program
To find the number of vowels in a sentence.