Question
Let X denote the number of hours you study during a randomly selected school day The probability that X can take the values x. has the following form, where k is some unknown constant.\displaystyle{P}{\left({X}={x}\right)}={\left\lbrace{0}.{1}{\quad\text{if}\quad}{x}={0},{k}{x}{\quad\text{if}\quad}{x}={1},{2}{k}{\left({5}-{x}\right)}{\quad\text{if}\quad}{x}={3}{\quad\text{or}\quad}{4},{0}{o}{t}{h}{e}{r}{w}{i}{s}{e}\right.}
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Question 1
Of the students in a school, it is known that 30% have 100% attendance and 70% students are irregular. Previous year results report that 70% of all students who have 100% attendance attain A grade and 10% irregular students attain A grade in their annual examination. At the end of the year, one student is chosen at random from the school and he was found to have an A grade. What is the probability that the student has 100% attendance ? Is regularity required only in school ? Justify your answer. Question 2
Let and be two urns such that contains 3 white and 2 red balls, and contains only 1 white ball. A fair coin is tossed. If head appears then 1 ball is drawn at random from and put into . However, if tail appears then 2 balls are drawn from and put into . Now, 1 ball is drawn at random from Given that the drawn ball from is white, the probability that head appeared on the coin is Stuck on the question or explanation?
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Question Text | Let X denote the number of hours you study during a randomly selected school day The probability that X can take the values x. has the following form, where k is some unknown constant.\displaystyle{P}{\left({X}={x}\right)}={\left\lbrace{0}.{1}{\quad\text{if}\quad}{x}={0},{k}{x}{\quad\text{if}\quad}{x}={1},{2}{k}{\left({5}-{x}\right)}{\quad\text{if}\quad}{x}={3}{\quad\text{or}\quad}{4},{0}{o}{t}{h}{e}{r}{w}{i}{s}{e}\right.} |
Answer Type | Text solution:1 |
Upvotes | 150 |