DP Mathematics HL Questionbank
5.4
Description
[N/A]Directly related questions
- 18M.2.hl.TZ1.6: The mean number of squirrels in a certain area is known to be 3.2 squirrels per hectare of...
- 16M.1.hl.TZ2.7b: Find \({\text{P}}(A|A \cup B)\) in simplest form.
- 16M.1.hl.TZ1.4b: Find \({\text{P}}(A'|B')\).
- 16N.2.hl.TZ0.11e: Determine the minimum value of \(x\) such that the probability Kati receives at least one free...
- 16N.1.hl.TZ0.10b: (i) show that \({\text{P}}(A) = \frac{1}{3}\); (ii) hence find \({\text{P}}(B)\).
- 17M.2.hl.TZ2.5c: Find the probability that the 1st July was calm given that the 3rd July is windy.
- 17M.1.hl.TZ1.10d: Calculate \(P(X \leqslant 4|X \geqslant 3)\).
- 15N.2.hl.TZ0.11d: Given that there are \(10\) workers in an elevator and at least one weighs more than \(100\)...
- 15N.2.hl.TZ0.8c: Find the value \({\text{P}}(X \le 3|X \ge 2)\).
- 15N.2.hl.TZ0.6: Josie has three ways of getting to school. \(30\% \) of the time she travels by car, \(20\% \) of...
- 15N.2.hl.TZ0.1b: Hence show that the events \(A\) and \(B\) are independent.
- 11M.1.hl.TZ1.1a: Find the value of \({\text{P}}(A \cup B)\) when(i) \(A\) and \(B\) are mutually...
- 12M.1.hl.TZ2.3c: Given that the “Tigers” soccer team won, what is the probability that it rained on that day?
- 08M.2.hl.TZ1.8: Only two international airlines fly daily into an airport. UN Air has 70 flights a day and IS Air...
- 11M.2.hl.TZ2.6c: Determine the probability that a fish which is caught weighs less than 1 kg, given that it weighs...
- 09N.1.hl.TZ0.6: At a nursing college, 80 % of incoming students are female. College records show that 70 % of the...
- SPNone.1.hl.TZ0.3b: Given that no head is obtained, find the probability that he tossed two coins.
- 13M.1.hl.TZ1.13c: The following day Alfred and Beatrice play the 6 games again. Assume that the probability that...
- 13M.1.hl.TZ1.9: Two events A and B are such that \({\text{P}}(A \cup B) = 0.7\) and \({\text{P}}(A|B') =...
- 10N.1.hl.TZ0.4: Jenny goes to school by bus every day. When it is not raining, the probability that the bus is...
- 11N.1.hl.TZ0.3: In a particular city 20 % of the inhabitants have been immunized against a certain disease. The...
- 11M.1.hl.TZ1.1b: Given that \({\text{P}}(A \cup B) = 0.6\) , find \({\text{P}}(A|B)\) .
- 11M.1.hl.TZ1.6b: Given that the rabbit tests positive for the disease, show that the probability that the rabbit...
- 09M.2.hl.TZ2.5: (a) Find the percentage of the population that has been vaccinated. (b) A randomly...
- 14M.3sp.hl.TZ0.1a: (i) Find \({\text{P}}(X = 6)\). (ii) Find \({\text{P}}(X = 6|5 \leqslant X \leqslant 8)\).
- 14M.2.hl.TZ1.9b: On Monday there were more than 10 birds seen on the power line. Show that the probability of...
- 14M.1.hl.TZ2.1: Events \(A\) and \(B\) are such that...
- 14M.1.hl.TZ2.11a: Mobile phone batteries are produced by two machines. Machine A produces 60% of the daily output...
- 13N.2.hl.TZ0.5b: Given that last week they watched a French movie, find the probability that it was on a Saturday...
- 15M.1.hl.TZ1.10: A football team, Melchester Rovers are playing a tournament of five matches. The probabilities...
- 15M.1.hl.TZ2.1b: Determine whether events \(A\) and \(B\) are independent.
- 15M.2.hl.TZ1.7b: Given that \(X \le 11\), find the probability that \(X = 6\).
- 15M.2.hl.TZ1.11h: Given that \(\frac{\pi }{2} \le X \le \frac{{3\pi }}{2}\) find the probability that...
- 15M.2.hl.TZ2.10b: Farmer Ray also grows turnips and the weights of his turnips are normally distributed with a mean...
- 15M.2.hl.TZ2.9b: she is on her way to Nashville, given that she is flying.
- 14N.1.hl.TZ0.4a: Determine the value of \({\text{P}}(A \cup B)\) when (i) \(A\) and \(B\) are mutually...
- 14N.1.hl.TZ0.4b: Determine the range of possible values of \({\text{P}}\left( {A|B} \right)\).
- 14N.2.hl.TZ0.12c: Find the probability that Ava wins in one of her first three turns.
- 14N.2.hl.TZ0.12d: Find the probability that Ava eventually wins.
- 14N.3sp.hl.TZ0.5d: If, having done the test, the sample mean is found to lie within the critical region, find the...
Sub sections and their related questions
Conditional probability; the definition \(P\left( {\left. A \right|P} \right) = \frac{{P\left( {A\mathop \cap \nolimits B} \right)}}{{P\left( B \right)}}\) .
- 12M.1.hl.TZ2.3c: Given that the “Tigers” soccer team won, what is the probability that it rained on that day?
- 11M.2.hl.TZ2.6c: Determine the probability that a fish which is caught weighs less than 1 kg, given that it weighs...
- SPNone.1.hl.TZ0.3b: Given that no head is obtained, find the probability that he tossed two coins.
- 13M.1.hl.TZ1.9: Two events A and B are such that \({\text{P}}(A \cup B) = 0.7\) and \({\text{P}}(A|B') =...
- 11N.1.hl.TZ0.3: In a particular city 20 % of the inhabitants have been immunized against a certain disease. The...
- 11M.1.hl.TZ1.1b: Given that \({\text{P}}(A \cup B) = 0.6\) , find \({\text{P}}(A|B)\) .
- 11M.1.hl.TZ1.6b: Given that the rabbit tests positive for the disease, show that the probability that the rabbit...
- 14M.3sp.hl.TZ0.1a: (i) Find \({\text{P}}(X = 6)\). (ii) Find \({\text{P}}(X = 6|5 \leqslant X \leqslant 8)\).
- 14M.2.hl.TZ1.9b: On Monday there were more than 10 birds seen on the power line. Show that the probability of...
- 14M.1.hl.TZ2.1: Events \(A\) and \(B\) are such that...
- 14M.1.hl.TZ2.11a: Mobile phone batteries are produced by two machines. Machine A produces 60% of the daily output...
- 13N.2.hl.TZ0.5b: Given that last week they watched a French movie, find the probability that it was on a Saturday...
- 14N.1.hl.TZ0.4b: Determine the range of possible values of \({\text{P}}\left( {A|B} \right)\).
- 15M.2.hl.TZ1.7b: Given that \(X \le 11\), find the probability that \(X = 6\).
- 15M.2.hl.TZ1.11h: Given that \(\frac{\pi }{2} \le X \le \frac{{3\pi }}{2}\) find the probability that...
- 15M.2.hl.TZ2.10b: Farmer Ray also grows turnips and the weights of his turnips are normally distributed with a mean...
- 15N.2.hl.TZ0.8c: Find the value \({\text{P}}(X \le 3|X \ge 2)\).
- 15N.2.hl.TZ0.11d: Given that there are \(10\) workers in an elevator and at least one weighs more than \(100\)...
- 16M.1.hl.TZ2.7b: Find \({\text{P}}(A|A \cup B)\) in simplest form.
- 16M.1.hl.TZ1.4b: Find \({\text{P}}(A'|B')\).
- 16N.1.hl.TZ0.10b: (i) show that \({\text{P}}(A) = \frac{1}{3}\); (ii) hence find \({\text{P}}(B)\).
- 16N.2.hl.TZ0.11e: Determine the minimum value of \(x\) such that the probability Kati receives at least one free...
- 17M.2.hl.TZ2.5c: Find the probability that the 1st July was calm given that the 3rd July is windy.
- 18M.2.hl.TZ1.6: The mean number of squirrels in a certain area is known to be 3.2 squirrels per hectare of...
Independent events; the definition \(P\left( {\left. A \right|B} \right) = P\left( A \right) = P\left( {\left. A \right|B'} \right)\) .
- 13M.1.hl.TZ1.13c: The following day Alfred and Beatrice play the 6 games again. Assume that the probability that...
- 11M.1.hl.TZ1.1a: Find the value of \({\text{P}}(A \cup B)\) when(i) \(A\) and \(B\) are mutually...
- 14N.1.hl.TZ0.4a: Determine the value of \({\text{P}}(A \cup B)\) when (i) \(A\) and \(B\) are mutually...
- 14N.2.hl.TZ0.12c: Find the probability that Ava wins in one of her first three turns.
- 14N.2.hl.TZ0.12d: Find the probability that Ava eventually wins.
- 15M.1.hl.TZ1.10: A football team, Melchester Rovers are playing a tournament of five matches. The probabilities...
- 15M.1.hl.TZ2.1b: Determine whether events \(A\) and \(B\) are independent.
- 15N.2.hl.TZ0.1b: Hence show that the events \(A\) and \(B\) are independent.
Use of Bayes’ theorem for a maximum of three events.
- 08M.2.hl.TZ1.8: Only two international airlines fly daily into an airport. UN Air has 70 flights a day and IS Air...
- 09N.1.hl.TZ0.6: At a nursing college, 80 % of incoming students are female. College records show that 70 % of the...
- 10N.1.hl.TZ0.4: Jenny goes to school by bus every day. When it is not raining, the probability that the bus is...
- 09M.2.hl.TZ2.5: (a) Find the percentage of the population that has been vaccinated. (b) A randomly...
- 14N.3sp.hl.TZ0.5d: If, having done the test, the sample mean is found to lie within the critical region, find the...
- 15M.2.hl.TZ2.9b: she is on her way to Nashville, given that she is flying.
- 15N.2.hl.TZ0.6: Josie has three ways of getting to school. \(30\% \) of the time she travels by car, \(20\% \) of...
