STAT 230 Week 8 Quiz 2 Solution Correct Answers
Week 8, quiz 2 answers for a statistics course.
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STAT 230 Week 8 Quiz 2 Solution Correct Answers
1. A pollster selected 4 of 7 available people. How many different groups of 4 are
possible?
2. Your firm has a contract to make 2000 staff uniforms for a fast –food retailer. The
heights of the staff are normally distributed with a mean of 70 inches and a standard
deviation of 3 inches. What percentage of uniforms will have to fit staff shorter than
67inches? What percentage will have to be suitable for staff taller than 76 inches.?
3. The industry standards suggest that 20% of new vehicles require warranty service
within the first year. A dealer sold 20 Nissans yesterday. Use equation for Binomial
Probability for part a) and Table II for part b) & c). Show work!
a) What is the probability that none of these vehicles requires warranty service? Use the
Binomial equation for P(X=0).
b) What is the probability that exactly one of these vehicles requires warranty service?
c) Determine the probability 3 or more of these vehicles require warranty service.
d) Compute the mean and std. dev. of this probability distribution.
4. Allen & Associates write weekend trip insurance at a very nominal charge. Records
show that the probability a motorist will have an accident during the weekend and will
file a claim is quite small (.0005). Suppose Alden wrote 400 policies for the forthcoming
weekend. Compute the probability that exactly two claims will be filed using the equation
for Poisson Probability.
Note: The symbol λ is the mean (expected value) which we used as μ = np. So λ is
nothing more than the mean number of occurrences (successes = np) in a particular
interval.
Get the probability that the number of claims is at least 3 from Poisson Tables.
5. Given a standard normal distribution, determine the following. Show Table Values
used in each part.
a) P(Z<1.4) =
b) P(Z>1.4) = 1-P(Z<1.4) =
c) P(Z< -1.4) =
d) P( - 0.50<Z<1.0) =
e) P(0.50<Z<1.5) =
1. A pollster selected 4 of 7 available people. How many different groups of 4 are
possible?
2. Your firm has a contract to make 2000 staff uniforms for a fast –food retailer. The
heights of the staff are normally distributed with a mean of 70 inches and a standard
deviation of 3 inches. What percentage of uniforms will have to fit staff shorter than
67inches? What percentage will have to be suitable for staff taller than 76 inches.?
3. The industry standards suggest that 20% of new vehicles require warranty service
within the first year. A dealer sold 20 Nissans yesterday. Use equation for Binomial
Probability for part a) and Table II for part b) & c). Show work!
a) What is the probability that none of these vehicles requires warranty service? Use the
Binomial equation for P(X=0).
b) What is the probability that exactly one of these vehicles requires warranty service?
c) Determine the probability 3 or more of these vehicles require warranty service.
d) Compute the mean and std. dev. of this probability distribution.
4. Allen & Associates write weekend trip insurance at a very nominal charge. Records
show that the probability a motorist will have an accident during the weekend and will
file a claim is quite small (.0005). Suppose Alden wrote 400 policies for the forthcoming
weekend. Compute the probability that exactly two claims will be filed using the equation
for Poisson Probability.
Note: The symbol λ is the mean (expected value) which we used as μ = np. So λ is
nothing more than the mean number of occurrences (successes = np) in a particular
interval.
Get the probability that the number of claims is at least 3 from Poisson Tables.
5. Given a standard normal distribution, determine the following. Show Table Values
used in each part.
a) P(Z<1.4) =
b) P(Z>1.4) = 1-P(Z<1.4) =
c) P(Z< -1.4) =
d) P( - 0.50<Z<1.0) =
e) P(0.50<Z<1.5) =
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Document Details
University
University of Waterloo
Subject
Statistics