Question

1/The time it takes me to wash the dishes is uniformly
distributed between 6 minutes and 14 minutes.

What is the probability that washing dishes tonight will take me
between 9 and 10 minutes?

Give your answer accurate to two decimal places.

2/A local bakary has determined a probability distribution for the number of cheesecakes that they sell in a given day.

X= #sold | |||||

0 | 5 | 10 | 15 | 20 | |

Probability | 0.29 | 0.26 | 0.27 | ...? | 0.06 |

What is the probability of selling 15 cheesecakes in a given
day?

What is the probability of selling at least 10 cheesecakes?

What is the probability of selling 5 or 15 chassescakes?

What is the peobaility of selling 25 cheesecakes?

Give the expected number of cheesecakes sold in a day using the
discrete probability distribution?

What is the probability of selling at most 10 cheesecakes?

3/A company prices its tornado insurance using the following
assumptions:

• In any calendar year, there can be at most one tornado.

• In any calendar year, the probability of a tornado is 0.08.

• The number of tornadoes in any calendar year is independent of
the number of tornados in any other calendar year.

Using the company's assumptions, calculate the probability that
there are fewer than 2 tornadoes in a 14-year period.

4/The owner of a small deli is trying to decide whether to discontinue selling magazines. He suspects that only 10.7% of his customers buy a magazine and he thinks that he might be able to use the display space to sell something more profitable. Before making a final decision, he decides that for one day he will keep track of the number of customers that buy a magazine. Assuming his suspicion that 10.7% of his customers buy a magazine is correct, what is the probability that exactly 6 out of the first 12 customers buy a magazine?

Answer #1

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A company prices its tornado insurance using the following
assumptions: • In any calendar year, there can be at most one
tornado. • In any calendar year, the probability of a tornado is
0.05. • The number of tornadoes in any calendar year is independent
of the number of tornados in any other calendar year. Using the
company's assumptions, calculate the probability that there are
fewer than 3 tornadoes in a 15-year period.

5. A company prices its tornado insurance using the following
assumptions: • In any calendar year, there can be at most one
tornado. • In any calendar year, the probability of a tornado is
0.14. • The number of tornadoes in any calendar year is independent
of the number of tornados in any other calendar year. Using the
company's assumptions, calculate the probability that there are
fewer than 3 tornadoes in a 10-year period.

The owner of a small deli is trying to decide whether to
discontinue selling magazines. He suspects that only 10.6% of his
customers buy a magazine and he thinks that he might be able to use
the display space to sell something more profitable. Before making
a final decision, he decides that for one day he will keep track of
the number of customers that buy a magazine.
(a) Explain why this is a binomial experiment.
(b) Assuming his suspicion...

The owner of a small deli is trying to decide whether to
discontinue selling magazines. He suspects that only 8.5% of his
customers buy a magazine and he thinks that he might be able to use
the display space to sell something more profitable. Before making
a final decision, he decides that for one day he will keep track of
the number of customers that buy a magazine. (a) Explain why this
is a binomial experiment. (b) Assuming his suspicion...

The owner of a small deli is trying to decide whether to
discontinue selling magazines. He suspects that only 9% of his
customers buy a magazine and he thinks that he might be able to use
the display space to sell something more profitable. Before making
a final decision, he decides that for one day he will keep track of
the number of customers that buy a magazine.
(a) Explain why this is a binomial experiment.
(b) Assuming his suspicion...

The time it takes for you to get to Sacramento airport is
uniformly distributed between 40 minutes to 70 minutes. If you
reach before 50 minutes, then you park in the economy parking lot.
Otherwise you park in the garage. There are 3 stops between these
parking areas and the departure terminal. If you park in the
economy lot, then the time it takes between any two stops is
exponentially distributed with average time equal to 20 minutes. If
you...

Question: Star Cat Books, a small independent bookstore in
Bradford is trying to decide whether to disconti... Star Cat Books,
a small independent bookstore in Bradford is trying to decide
whether to discontinue selling magazines. The owner suspects that
only 9% of the customers buy a magazine and thinks that she might
be able to use the display space to sell something more profitable.
Before making a final decision, she decides that for one day she'll
keep track of the...

1. Assume the waiting time at the BMV is uniformly distributed
from 10 to 60 minutes, i.e. X ∼ U ( 10 , 60 )X ∼ U ( 10 , 60 )
What is the expected time waited (mean), and standard deviation
for the above uniform variable?
1B) What is the probability that a person at the BMV waits
longer than 45 minutes?
1C) What is the probability that an individual waits between 15
and 20 minutes, OR 35 and...

QUESTION 1
CC Car Wash specializes in car cleaning services. The services
offered by the company, the exact service time, and the resources
needed for each of them are described in the table following:
Service
Description
Processing Time
Resource
A. Wash
Exterior car washing and drying
10 minutes
1 automated washing machine
B. Wax
Exterior car waxing
15 minutes
1 automated waxing machine
C. Wheel Cleaning
Detailed cleaning of all wheels
16 minutes
1 employee
D. Interior Cleaning
Detailed cleaning...

QUESTION 1
CC Car Wash specializes in car cleaning services. The services
offered by the company, the exact service time, and the resources
needed for each of them are described in the table following:
Service
Description
Processing Time
Resource
A. Wash
Exterior car washing and drying
10 minutes
1 automated washing machine
B. Wax
Exterior car waxing
15 minutes
1 automated waxing machine
C. Wheel Cleaning
Detailed cleaning of all wheels
16 minutes
1 employee
D. Interior Cleaning
Detailed cleaning...

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