Practice Test 6
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Jan 9, 2024
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Algebra 2 | Practice Unit 6 Test | Probability Distributions
Practice Test 6 1.
The probability distribution graph shows the number of TVs per household. What is P (1 < x < 5)? 2
Use the probability distribution table to find P (2 ≤ x ≤ 4).
Algebra 2 | Practice Unit 6 Test | Probability Distributions
3
Use the frequency table provided. Find the correct probabilities to complete the probability distribution table. P(5) = ______ P(6) = ______ P(7) = ______ P(8) = ______ P(9) = ______ P(10) = ______ P(11) = _______ 4
The frequency table below shows the number of cups of coffee consumed per day. Use this information to create a bar that represents the probability distribution.
Algebra 2 | Practice Unit 6 Test | Probability Distributions
5
Jake has a blue
6 sided number cube and Taylor has a yellow
6 sided number cube. The faces of the cubes are numbered 1 through 6. Both cubes are rolled at the same time. The random variable X
is the number on the blue cube minus
the number on the yellow cube. What is P (-1 ≤
X < 2)? 16/36 11 12 13 14 15 16 0 -1 -2 -3 -4 -5 x P(x) 21 22 23 24 25 26 1 0 -1 -2 -3 -4 -1 5/36 31 32 33 34 35 36 2 1 0 -1 -2 -3 0 6/36 41 42 43 44 45 46 3 2 1 0 -1 -2 1 5/36 51 52 53 54 55 56 4 3 2 1 0 -1 61 62 63 64 65 66 5 4 3 2 1 0 6
Which variable has a binomial distribution? a)
Over the next 5 days, X
is the number of days it will snow b)
A tennis player’s probability of a winning match is 60%. X
is the number of matches played until a loss. c)
X
is the number of ripe lemons selected from a bag of 10 lemons, when 4 lemons are selected without replacement. The probability of selecting a ripe lemon is 75%. d)
A coin is tossed 8 times, x is the number of heads.
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Algebra 2 | Practice Unit 6 Test | Probability Distributions
7
Use the probability distribution graph to answer the question. P(X ≤ a) = 0.25
What is the value of a? a = 2
8
Which data set is likely to be normally distributed? a)
The age newborns in a hospital b)
The outcomes of rolling a number cube several times c)
The number of legs on ducks in the lake. d)
Spinning a wheel with Letters A, B, and C until it lands on A.
Algebra 2 | Practice Unit 6 Test | Probability Distributions
9
Scores on a Biology test are normally distributed with a mean score of 72 and standard deviation of 9. Brian scores a 67 on the test. What is the z-score. 10
Researchers found a fertilizer treatment to have a mean plant height of 76 in. and a standard deviation of 3 in. Find the height of a plant treated with this fertilizer that has a z-
score of 0.25. Round to the nearest tenth.
Algebra 2 | Practice Unit 6 Test | Probability Distributions
11
Suppose scores on a standardized test taken by future doctors are normally distributed with a mean of 10.5 and a standard deviation of 2.2. Approximately 70% of the future doctors scored less than what score?
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Algebra 2 | Practice Unit 6 Test | Probability Distributions
12
The weights of bags of corn produced at a factory are normally distributed with a mean of 28 oz and a standard deviation of 2 oz. Consider a shipment of 800 bags of corn. How many of the bags will weigh 26.5 oz or less?
Algebra 2 | Practice Unit 6 Test | Probability Distributions