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1- The L.A. Weather Department recorded the temperature of ten days in March 2016 as follows:
76 degree Fahrenheit 78 81 84 86 86 79 89 92 81
a) what was the mean temperature?
b) what was the median?
c) what was the mode?
d) what was the range?
e) what is the standard deviation?
f) what is the variance?
g) if you wanted to choose between Mean, Median, or Mode, which one would you select,
and why?
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2- A compressor manufacturer sold the following 4 models of compressor in 2019:
120 compressors sold, (20 horsepower model) at price: $8,600 each
150 compressors sold, (30 horsepower model) at price: $9,250 each
180 compressors sold, (40 horsepower model) at price: $10,800 each
110 compressors sold, (50 horsepower model) at price: $12,300 each
Please calculate the Mean price per compressor sold.
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3- The Range of a sample of 10 values is 5 and the largest observation is 50.
What is the lowest value?
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4- Southern Calif Pontiac Has compiled the following sales data regarding the number of cars sold over the past 60 days:
Number of cars sold Number of days
0 5
1 5
2 10
3 20
4 15
5 or more 5
a) what is the probability that two cars are sold during a particular day?
b) what is the probability of selling 3 or more cars during a day?
c) what is the probability of selling at least one car during a particular day?
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5- Mr. and Mrs. Smith are both retired. Suppose the probability that a retired man will live another 10 years is 60% and the probability that a retired woman will live another 10 years is 70%
a) what is the probability that both Mr. and Mrs. Smith will be alive for 10 years from now?
b) what is the probability that in 10 years Mr. Smith is not living and Mrs. Smith is living?
c) what is the probability that in 10 years at least one is living?
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6- Ninety students will graduate from Tiger High School this year. Out of 90 students, 50 are planning to attend college.
Tow students are selected at random to carry the flag at graduation. What is the probability that both of them are planning to attend college?
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7- The probability of a bomber jet hitting a target on a bombing mission is 70%. Three bombers are sent to to bomb a particular target.
a) what is the probability that all three of them hit the target?
b) what is the probability that at least one of them hits the target?
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8- A fast food store recorded store recorded the age of their clients as in the following table:
Age number
11 to 20 20
21 to 30 28
31 to 40 35
41 to 50 48
51 to 60 30
61 to 70 18
71 to 80 12
81 to 90 5
91 to 100 2
please construct a histogram
and a polygon
9- Pleas construct a pie chart on the result of a study on a group of people with the following statistics:
Race # of people
White 200
Black 400
Hispanic 500
Asian 400
Am. Indian 300
10-The outcome of a weight test recorded the following data
121, 131, 119, 121, 129, 118, 125, 130, 128, 120 (all in pound)
Please calculate the standard deviation.
11- A deli bar offers sandwiches with four types of bread, three types of cheese and four types of meat. How many different sandwich combinations are possible?
12- A local community has two newspapers. The Morning Times is read by 45% of the households. The Evening Dispatch is read by 60% of households. 20% of the households read both papers. What is the probability that a particular household reads at least one paper?
13- The United Company had 15 applications for funding this year. If 8 of these applications can be funded, how many different lists of successful applications are there?
14- Three scholarships are available for needy students. The values are $1000, $1200, and $1500. Twelve students have applied and no student may receive more than one scholarship. How many different ways could the scholarships be awarded?