# Data Management test. Continuous distribution unit

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Data Management test. Continuous distribution unit

Data Management test. Continuous distribution unit

Date:_______________________ Name:________________________ MDM 4U1: Test 7 – Probability Distributions – Is This Normal? K/U : _____ App : _____ Total: ______ 15 13 28 Knowledge/Understanding : 1. Suppose that th e amount of time to write one of Mr. Giesen’s quizzes varies uniformly from 23 to 35 minutes . Construct a graph of this distribution and use the graph to find: a) the probability that a quiz takes 32 or more minutes /6 b) the probabilit y that a quiz takes between 27 and 33 minutes . 2. Use the normal tables to find each of the following probabilities. (a) P(z < -0.4 5) (b) P( z < -1.02 or z ≥ 1.3 2) /3 3. Using the normal tables and the given probabilit ies, find k (a) P(z < k) = 0 .9505 (b) P( -k < z < k) = 0.6 /3 4. For each of the following descriptions circle whether the variable is “discrete”, “continuous” or “neither”. Circle one: a) the distance of a discus throw during a track meet: discrete continuous neither Circle one: b) the number of pizza slices sold each day at the cafeteria: discrete continuous neither /3 Circle one: b) the total monthly rainfall at a weather station : discrete continuous neither Application: (use the back of the previous sheet if you need more room) 5. A long jumper has a mean jump distance of 5.98 m, with a standard deviation of 0.16m. a) What is the probability that the jumper will jump farther than 6.27m in her next jump and set a new meet record? /5 b) At this meet, a jump of 5.80m or less is not enough to advance to the semi -finals. A jump of more than 5.80m will qualify you for the semi -finals. A jump of 6.10m has you skip the semi – finals and advance directly into the finals. What is the probability that the jump will be between 5.80 m and 6.10m and you will go into the semi -final round? 6. It is known that 10 % of the population is left handed. Find the probability that in a rand omly chosen group of 65 people: a) fewer than 8 people will be left -handed . What distribution did you use? Is that reasonable? /8 b) exactly five will be left handed. Find this two different ways using two different distributions.

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