Questions on Probabilities and
1. Heights of men on a baseball
team have a bell-shaped distribution with a mean of 185cm and a standard
deviation of 6 cm. Using the empirical rule, what is the approximate percentage
of the men between the following values?
a. 167cm and 203cm
b. 179cm and 191cm
2. Heights of women have a
bell-shaped distribution with a mean of 159cm and a standard deviation of 8cm.
Using Chebyshevs 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 maxium heights that are within 3 standard deviations of the mean?
At least ____% of women have
heights with 3 standard deviaitons of 159cm.
3. Determime whether the
distribution is a discrete probability distribution. Why or why not?
4. Assume that a procedure yields
a binomial distrubution with a trail repeated n times. Use a binomial
probabilities table to find the probability of x successes given the
probability p of success on a given trail
n=2, x=1, p=0.40
P(1)=_______ (round to 3 decimal
places if needed)
5. In a region 90% of the
population have brown eyes. If 12 people are randomly selected, find the
probability that at least 10 of them have brown eyes. Is it unusual to randomly
select 12 people and find that at least 10 of them have brown eyes? Why or why
The probability that at least 10
of 12 people selected have brown eyes______(round 3 places if needed)
Is it unusual to randomly select
12 people and find that at least 10 of them have brown eyes. Note that a small
probability is one that is less than 0.05.______