Week 2 Quiz
Heights of men on a baseball team have a bell-shaped distribution with a mean of 177cm and a standard deviation of 5cm. Using the empirical rule, what is the approximate percentage of the men between the following values?
167cm and 187cm
162cm and 192cm
Heights of women have a bell-shaped distribution with a mean of 163cm and a standard deviation of 5cm. Using Chebyshev’s theorem, what do we know about the percentage of women with heights that are within 3 standard deviations of the mean? What are the minimum and the maximum heights that are within 3 standard deviations of the mean?
At least _____ % of women have heights within 3 standard deviations of 163cm. (Round to the nearest Percent)
The minimum height that is within 3 standard deviations of the mean is _____ cm.
The maximum height that is within 3 standard deviations of the mean is _____ cm.
Determine whether the distribution is a discrete probability distribution:
x P(x)
0.28
0.32
-0.20
0.32
0.28
Is the probability distribution a discrete distribution? Why? Choose the correct answer below:
No, because some of the probabilities have values greater than 1 or less than 0
No, because the total probability is not equal to 1
Yes, because the probabilities sum to 1 and are all between 0 and 1, inclusive.
Yes, because the distribution is symmetric
In a state’s Pick 3 lottery game, you pay $1.28 to select the sequence of three digits, such as 222. If you select the same sequence of three digits that are drawn, you win and collect $420.17. Complete parts A-E.
How many different selections are possible?
What is the probability of winning? _____ (Enter integer or decimal)
If you win, what is your net profit? (Enter integer or decimal)
Find the expected value. _____ (Round to the nearest hundredth as needed)
If you bet $1.28 in a certain state’s Pick 4 game, the expected value is $0.86. Which bet is better, a $1.28 bet in the Pick 3 game or a $1.28 bet in the Pick 4 game? …