question archive 1)The five-number summary for scores on a Statistics exam is 11, 59, 75, 79, 93
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1)The five-number summary for scores on a Statistics exam is 11, 59, 75, 79, 93. In all, 80 students took the test. How many students had scores between 59 and 75?
2.Find the 5 number summary for the data set 36, 74, 38, 70, 42, 69, 47, 62, 51, 56
3. Which of the following is a condition for the binomial distribution?
a. The number of trials is infinite.
b. The trials must be dependent.
c. The probability must remain the same for all trials.
d. There is no restriction on the possible number of outcomes for each trial.
4. At a local high school, 30% of graduating students buy a class ring. You select 5 students at random, find the probability that exactly two of them buy a class ring.
5.The heights of American men aged 18 to 24 are approximately normally distributed with mean 70 inches and standard deviation 5 inches. Half of all young men are taller than what height?
6.When a fair 6-sided dice is rolled 10 times, the resulting face values are as follows: 1, 2, 6, 5, 5, 6, 3, 4, 5, 1. After conducting the experiment, the researcher claims that . This is an example of ______________ probability.
Answer:
1. 20 students
2. five point summary: 34, 41, 53.5, 69.25, 74
3. C.
4. 0.3087
5. 70 inches
6.independent
Step-by-step explanation
1. Each portion between the five numbe summary comprise 25% of the population. So the number of students between 59 and 75 is 0.25*80 = 20 students
2.
34, 41, 53.5, 69.25, 74
five point summary: 34, 41, 53.5, 69.25, 74
3. Conditions are: indefinite trials, independent trials and that probability of success is the same for all trials
4. We use binomial theorem here
P = 5C2 *(0.3)^2 (0.7)^3
P = 0.3087
5. Half of all young men are taller than the mean equal to 70 inches. This is because the mean is the center of the distribution
Independent probability. This is because the outcome of one trial does not affect the outcome of another and allows replacement of values
6. Independent probability. This is because the outcome of one trial does not affect the outcome of another and allows replacement of values
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