DP Mathematics HL Questionbank

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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...