Reference no: EM13956589
1. How many variations in the first-, second-, and third-place finishes are possible in a 100-yd dash with 6 runners?
2. Suppose a family plans 6 children, and the probability that a particular child is a girl is ½. Find the probabilities that the 6-child family has at least 4 girls.
3. Suppose 2 cards are drawn without replacement from an ordinary deck of 52. Find the probability that both cards are red.
4. Give the probability that corresponds to the shaded region of the histogram.
5. You pay $6 to play in a game where you will roll a die with payoffs as follows: $8 for a 6, $7 for a 5, and $4 for any other results. What are you expected winnings? Is the game fair?
6. A certain machine that is used to manufacture screws produces a defect rate of 0.01. A random sample of 20 screws is selected. Find the probabilities that the sample contains exactly 3 defective screws.
7. The number of units carried in one semester by students in a business mathematics class was as follows. Use intervals 9-10, 11-12, 13-14, 15-16 to do the following:(a) write a frequency distribution; (b) draw a histogram; (c) draw a frequency polygon
10 9 16 12 13 15 13 16 15 11 13
12 12 15 12 14 10 12 14 15 15 13
(a) write a frequency distribution
(b) draw a histogram
(c) draw a frequency polygon
8. Find the mean for the following.
105, 108, 110, 115, 106, 110, 104, 113, 117
9. Find the mean for the following.
Interval Frequency
40-44 2
45-49 5
50-54 7
55-59 10
60-64 4
65-69 1
10. Find the median and the mode (or modes) for the following:
32, 35, 36, 44, 46, 46, 59
11. Find the range and the standard deviation for the following:
14, 17, 18, 19, 32
12. Find the area under the standard normal curve between z = 0 and z = 1.27.
13. Find a z-score such that 8% of the area under the curve is to the right of z.
14. The probability that a small business will go bankrupt in its first year is 0.21. For 50 such small business, find the following probabilities by using either the binomial probability formula or by using the normal approximation.
a. Exactly 8 go bankrupt.
b. No more than 2 go bankrupt.
15. How are the variance and the standard deviation of a distribution related? What is measured by the standard deviation?
16. What is meant by a skewed distribution?
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Adult education and the social media revolution
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Greatly affected by the recent horrific tragedies
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Calculate annual cost for firm whose demand forecast is fall
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What is meant by a skewed distribution
: the probability that a small business will go bankrupt in its first year is 0.21. For 50 such small business, find the following probabilities by using either the binomial probability formula or by using the normal approximation.
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What is the maximum downward acceleration of the vehicle
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Process is capable according to the managers standard
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About the distribution of income world-wide
: Rosling tested his class of pre-med undergrads in Sweden to find out what his sudents knew about child mortality rates around the world. What was the result?
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Calculate per-unit advantage-disadvantage of further process
: Mitrex Company makes a semi-finished machine component for the heavy equipment industry that has a unit contribution margin of $250 to Mitrex. Calculate the per-unit advantage or disadvantage of further processing.
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