..An industrial chemical that will retard the spread of fire in paint has been developed. The local sales representative has estimated, from past experience, that 48+15f% (round to integer) of the sales calls will result in an order. (a) What is the probability that the first order will come on the fourth sales call of the day? (b) If eight sales calls are made in a day, what is the probability of receiving exactly six orders? (c) If four sales calls are made before lunch, what is the probability that one or fewer results in an order?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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... An industrial chemical that will retard the spread of fire in paint has been developed. The
local
sales representative has estimated, from past experience, that 48+15f% (round to integer) of
the sales calls will result
in an order.
(a) What is the probability that the first order will come on the fourth sales call of the day?
(b) If eight sales calls are made in a day, what is the probability of receiving exactly six orders?
(c) If four sales calls are made before lunch, what is the probability that one or fewer results in
an order?
Weekly demand for condenser units is Poisson-distributed with a mean of (6-3f) units. What
is the probability of running out of stock, if we have 4 condenser at the beginning of a week?
A component has an exponential time-to-failure distribution with mean of 10,000+2000f
hours.
(a) The component has already been in operation for its mean life. What is the probability that
it will fail by 15,000 hours?
(b) At 15,000 hours, the component is still in operation. What is the probability that it will
operate for another 5000 hours?
Lead time for an item is approximated by a normal distribution with a mean of 20+5f days
and a
variance of 4 days2. Find values of lead time that will be exceeded only 5%, and 10% of
the time.
IQ scores are normally distributed throughout society, with mean 100+10f and standard
deviation 15.
(a) A person with an IQ of 140 or higher is called a "genius." What proportion of society is in
the genius category?
(b) What proportion of society will miss the genius category by 5 or less points?
Transcribed Image Text:... An industrial chemical that will retard the spread of fire in paint has been developed. The local sales representative has estimated, from past experience, that 48+15f% (round to integer) of the sales calls will result in an order. (a) What is the probability that the first order will come on the fourth sales call of the day? (b) If eight sales calls are made in a day, what is the probability of receiving exactly six orders? (c) If four sales calls are made before lunch, what is the probability that one or fewer results in an order? Weekly demand for condenser units is Poisson-distributed with a mean of (6-3f) units. What is the probability of running out of stock, if we have 4 condenser at the beginning of a week? A component has an exponential time-to-failure distribution with mean of 10,000+2000f hours. (a) The component has already been in operation for its mean life. What is the probability that it will fail by 15,000 hours? (b) At 15,000 hours, the component is still in operation. What is the probability that it will operate for another 5000 hours? Lead time for an item is approximated by a normal distribution with a mean of 20+5f days and a variance of 4 days2. Find values of lead time that will be exceeded only 5%, and 10% of the time. IQ scores are normally distributed throughout society, with mean 100+10f and standard deviation 15. (a) A person with an IQ of 140 or higher is called a "genius." What proportion of society is in the genius category? (b) What proportion of society will miss the genius category by 5 or less points?
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