Calculating the Binomial
Probability

1. Heights
of women have a bell shaped distribution with a mean of 161cm and a standard
deviation of 6cm. Using Chebyshev's theorem, what do we know about the
percentage of women with heights that are within 2 standard deviations of the
mean? What are the minimum and maximum heights that are within 2 standard
deviations of the mean?

2. Assume
that a prodcure yields a binomial distrubtion 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=2, p=0.70

P(2)=_____

3. A brand name has an 80%
recognition rate. If the owner of the brand wants to vertify that rate by
beginning with as small sample of 5 randomly selected consumers, find the
probability that exactly 4 of the 5 consumers recognize the brand name. Also
find the probability that the number who recognize the brand name is not 4.

4. Assume that a procedure yields
a binomial distrubtion with n trails and the probability of success for one
trail is p. Use the given values of n and p find the mean and standard
deviation. Also use the range rule of thumb to find the mininum usual value ยต +
2?

N=190, p=0.25

Mean=____ Standard deviation=____