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Find the probability that someone uses drugs given that they had a negative test result.
6/866 or 0.0069
The overhead reaches of adult females are normally distributed and have the following parameters: µ = 205.5cm, ? = 8.6cm. If 1 adult female is randomly selected, find the probability that their mean overhead reach is greater than 218.4cm
0.0668
The overhead reaches of adult females are normally distributed and have the following parameters: µ = 205.5cm, ? = 8.6cm. If 49 adult females are randomly selected, find the probability that their mean overhead reach is less than 207.0cm
0.8888 (tech: 0.8889)
Find the area
area = 0.9492
Find the z-score
z = 1.15
If boys and girls are equally likely, groups of 400 births have a mean of 200 girls and a standard deviation of 10 girls. Is 185 girls in 400 births an unusually low number?
No. The value is within two standard deviations of the mean.
In Ohio's Pick 4 game, you pay $1 to select a sequence of four digits, such as 7709. If you buy only one ticket and win, your prize is $5,000 and your net gain is $4,999.​ What is the expected value?
-50¢
In Ohio's Pick 4 game, you pay $1 to select a sequence of four digits, such as 7709. If you buy only one ticket and win, your prize is $5,000 and your net gain is $4,999.​ If you buy 1 ticket, what is the probability of winning?
1 / 10,000 or 0.0001
In a population, about 40% of people have brown eyes, 35% have blue, 12% have green, 7% have gray, and 6% have hazel. If two are selected, find the probability that at least one has brown eyes.
0.64
If two people are selected, what is the probability that at least one of them responded?
0.983
If two people are selected, what is the probability that both responded and are between 22-29?
0.035
What is the probability that someone selected responded and is over 60?
202/1205 or 0.168
What is the probability that a selected person either refused to answer or is between 30-49?
537/1205 or 0.446
What is the probability that the selected person refused to answer?
156/1205 or 0.129