Probability: Normal & Binomial
1. Use the
following to answer questions:
The table below presents the probability
distribution for X = the number of email messages you will receive in the next
10 minutes.
X 0 1 2 3
P(X) .35 .35 .25 .05
a. What is
the probability that no emails will be received?
b. What is
the probability that at least one email will be received?
c. What is
E(X), the expected number of emails that will be received?
d. What is
Var(X), the variance of the number of emails that will be received?
e. What is
the Std(X), the standard deviation of the number of emails that will be
received?
2. Site
preparation for new housing developments for tracts of 50 houses are normally
distributed with a mean of 200 and a standard deviation of 10 workdays.
a. Find the
probability that the site is completed within 185 workdays
b. Find the
probability that the site will not be completed within 215 workdays
c. Find the
probability that the site is completed between 185 and 215 days.
3. John
Rengel is the Quality Assurance Supervisor for Vino Supremo Vinyards. He knows
that 10 percent of each box of corks is undersized.
a) If he
were to randomly select 120 corks from the next box, then how many of these
corks would John expect to be undersized?
b) If he
were to randomly select 120 corks from each box, then what would John calculate
as the standard error of the number of undersized corks?
c) What is
the probability that John will find 15 or more corks defective in a randomly
selected box?
ScholarMatic: Explanation & Answer
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