DP Mathematical Studies Questionbank

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Directly related questions

• 17M.1.sl.TZ1.4d: Write down, in terms of \(F\), \(W\) and \(S\), an expression for the set which contains only...
• 17M.1.sl.TZ1.4c.ii: Write down \(n(W \cap S)\).
• 17M.1.sl.TZ1.4c.i: Write down the elements of the set \(F \cap W’\);
• 17M.1.sl.TZ1.4b: Determine whether rock-climbing is offered by the school in the fall/autumn trimester.
• 17M.1.sl.TZ1.4a: Write down the number of sporting activities offered by the school during its school year.
• 16N.2.sl.TZ0.6f: Using your answer to part (e), find the value of \(r\) which minimizes \(A\).
• 16N.2.sl.TZ0.2d: Find the probability that this person (i)     went on at most one trip; (ii)     went on the...
• 16N.2.sl.TZ0.2c: Write down the value of \(n(B \cap C)\).
• 16N.2.sl.TZ0.2b: Show that \(x = 3\).
• 16N.2.sl.TZ0.2a: Draw a Venn diagram to represent the given information, using sets labelled \(B\), \(C\) and \(H\).
• 10M.1.sl.TZ1.13c: Find the probability that a student chosen at random studies Physics, given that the student is...
• 10M.1.sl.TZ2.6c: Find the probability that a randomly chosen student from the group likes peanut butter, given...
• 10M.1.sl.TZ2.8b: Find \({\text{P}}(A|B)\).
• 10N.1.sl.TZ0.6b: Write down the probability that this person is male given that they are a smoker.
• 11N.1.sl.TZ0.10a: Write down the probability that (i) Ju Shen chooses a red disc from the bag; (ii) Ramón chooses...
• 12N.2.sl.TZ0.4a: Use the table to find the probability that (i) a television will be bought by a female; (ii) a...
• 12M.1.sl.TZ1.12c: Merryn was not late for the concert the next day. Given that, find the probability that she...
• 12M.2.sl.TZ2.1b: Leanne catches a fish. Find the probability that she (i) catches an undersized bream; (ii)...
• 12M.2.sl.TZ2.1g: Leanne notices that on windy days, the probability she catches a fish is 0.1 while on non-windy...
• 11N.2.sl.TZ0.2a: A student is chosen at random from the group. Find the probability that the student (i)    ...
• 09N.1.sl.TZ0.14a: Draw a Venn diagram in the space below to illustrate this information.
• 09N.1.sl.TZ0.14b: Find the probability that a student studies Spanish given that she studies one language only.
• 09M.2.sl.TZ1.2i, d: Given that they do not have pasta, find the probability that Lisa cooked dinner.
• 11M.2.sl.TZ1.2B.c: One of the survey forms was chosen at random, find the probability that the form showed...
• 09M.2.sl.TZ2.1d: A family is chosen at random. Find the probability that they own a cat, given that they own a bird.
• 09M.1.sl.TZ2.13b: The die is thrown once. Given that the face on top is not red, find the probability that it is...
• 13M.2.sl.TZ1.2d: A student is chosen at random from the 100 that were asked above. Find the probability that this...
• 13M.2.sl.TZ2.1c: A family is chosen at random from the group of 40 families. Find the probability that the family...
• 13M.2.sl.TZ2.1d: Two families are chosen at random from the group of 40 families. Find the probability that both...
• SPM.2.sl.TZ0.5c: Tomoko used a bus to travel to school yesterday. Find the probability that she also walked.
• 07M.2.sl.TZ0.5i.b: Neil often takes the dogs to the park after they have eaten. He has noticed that the grey dog...
• 07N.2.sl.TZ0.1i.d: Find the probability that Geraldine travelled by train, given that she is late.
• 08N.2.sl.TZ0.3b: Consider the \(200\) drivers surveyed. One driver is chosen at random. Calculate the probability...
• 08M.2.sl.TZ1.2i.e: If a student owns an iPod, write down the probability that the student also owns a digital camera.
• 11M.1.sl.TZ2.9c: One traveller is to be chosen at random from those not going to America. Find the probability...
• 08M.2.sl.TZ2.2i.a: One person is chosen at random from those surveyed. Find the probability that this person (i)...
• 10M.2.sl.TZ2.1c.ii: Find the probability that he chooses a biscuit from the red tin given that it is a chocolate...
• 14M.2.sl.TZ2.1b: Calculate the probability that Tomek wears (i)     shorts and no tie; (ii)     no tie; (iii)  ...
• 13N.2.sl.TZ0.3f: Find the probability that a woman selected at random from the group had visited Europe, given...
• 14M.2.sl.TZ1.2c: There were 25 tourists in the group and every tourist saw at least one of the three types of...
• 14M.2.sl.TZ1.2d: There were 25 tourists in the group and every tourist saw at least one of the three types of...
• 18M.2.sl.TZ2.1e: Find \(n\left( {\left( {C \cup B} \right) \cap P'} \right)\).
• 18M.2.sl.TZ2.1d: Find the number of employees who, in the last year, did not travel to work by car, bicycle or...
• 18M.2.sl.TZ2.1c.ii: Find the value of y.
• 18M.2.sl.TZ2.1c.i: Find the value of x.
• 18M.2.sl.TZ2.1b.iii: Use the tree diagram to find the probability that an employee encountered traffic given that they...
• 18M.2.sl.TZ2.1b.ii: Use the tree diagram to find the probability that an employee was late for work.
• 18M.2.sl.TZ2.1b.i: Use the tree diagram to find the probability that an employee encountered traffic and was late...
• 18M.2.sl.TZ2.1a.ii: Write down the value of b.
• 18M.2.sl.TZ2.1a.i: Write down the value of a.
• 18M.2.sl.TZ1.5e: 120 contestants attempted this game. Find the expected number of contestants who fell into a...
• 18M.2.sl.TZ1.5d.ii: A contestant is chosen at random. Find the probability that this contestant fell into a trap.
• 18M.2.sl.TZ1.5d.i: A contestant is chosen at random. Find the probability that this contestant fell into a trap...
• 18M.2.sl.TZ1.5c: Copy the probability tree diagram and write down the relevant probabilities along the branches.
• 18M.2.sl.TZ1.5b: Find the probability that only one of Ayako and Natsuko falls into a trap while attempting to...
• 18M.2.sl.TZ1.5a: Write down the probability that Ayako avoids the trap in this wall.
• 18M.2.sl.TZ1.2h: Two flights are chosen at random from those which were slightly delayed. Find the probability...
• 18M.2.sl.TZ1.2f: Write down the probability that this flight arrived on time.
• 18M.2.sl.TZ1.2e: State, with a reason, whether you would reject the null hypothesis.
• 18M.2.sl.TZ1.2d.ii: Write down the associated p-value.
• 18M.2.sl.TZ1.2d.i: Write down the χ2 statistic.
• 18M.2.sl.TZ1.2c: Write down the number of degrees of freedom.
• 18M.2.sl.TZ1.2b: Calculate the expected frequency of flights travelling at most 500 km and arriving slightly delayed.
• 18M.2.sl.TZ1.2a: State the alternative hypothesis.
• 15M.1.sl.TZ1.11c: For a different day, also chosen at random, find the probability that, given Peter was late, he...
• 15M.2.sl.TZ2.1e: The number of customers that like only mangoes is equal to the number of customers that like only...
• 14N.2.sl.TZ0.2d: During the first trial Mike escapes. Given that Mike escaped, find the probability that he went...