DP Mathematics HL Questionbank

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• 18M.3sp.hl.TZ0.1c: Two randomly chosen male birds and three randomly chosen female birds are placed on a weighing...
• 18M.3sp.hl.TZ0.1b: Find the probability that the weight of a randomly chosen male bird is more than twice the weight...
• 18M.3sp.hl.TZ0.1a: Find the probability that a randomly chosen male bird weighs between 4.75 kg and 4.85 kg.
• 12M.3sp.hl.TZ0.4c: Two independent observations are made from X and the values are added. The resulting random...
• 12N.3sp.hl.TZ0.2a: Find the mean and the variance of (i)     ${X_1} + {X_2}$ ; (ii)     $3{X_1}$; (iii)    ...
• 12N.3sp.hl.TZ0.2b: Find ${\text{E}}(X_1^2)$ in terms of $\mu$ and $\sigma$ .
• 08M.3sp.hl.TZ2.1a: The random variable Y is such that \({\text{E}}(2Y + 3) = 6{\text{ and Var}}(2 - 3Y) =...
• 11M.3sp.hl.TZ0.1b: Five of these oranges are selected at random to be put into a bag. Find the probability that the...
• 11M.3sp.hl.TZ0.1c: The farm also produces lemons whose weights may be assumed to be normally distributed with mean...
• 11N.3sp.hl.TZ0.1c: Find the probability that five randomly chosen Supermug tea bags contain a total of less than...
• 11N.3sp.hl.TZ0.1d: Find the probability that the total weight of tea in seven randomly chosen Supermug tea bags is...
• 14M.3sp.hl.TZ0.1b: $\bar X$ denotes the sample mean of $n > 1$ independent observations from $X$. (i)    ...
• 13N.3sp.hl.TZ0.5: Let $X$ and $Y$ be independent random variables with $X \sim {P_o}{\text{ (3)}}$ and...