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MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![1080
QUESTION 1
1. Assume that each of your calls to a popular radio station has a probability of 0.02 of connecting
that is, of not obtaining a busy signal. Assume that your calls are independent. What is the probability
that your first call that connects is your tenth call? Round-off final answer to 4 decimal places.
2 This exercise illustrates that poor quality can affect schedules and costs. A manufacturing process
has 100 customer orders to fill. Each order requires one component part that is purchased from a
supplier. However, typically, 2% of the components are identified as defective, and the components can
be assumed to be independent. If the manufacturer stocks 100 components, what is the probability that
the 100 orders can be filled without reordering components? Round-off final answer to 3 decimal
places
3 The volume of a shampoo filled into a container is uniformly distributed between 374 and 380
milliliters. What is the volume of shampoo that is exceeded by 95% of the containers? Round-off final
answer to 1 decimal place
4. The reaction time of a driver to visual stimulus is normally distributed with a mean of 0.4 seconds
and a standard deviation of 0.05 seconds. What is the reaction time that is exceeded 90% of the time?
Round-off final answer to 3 decimal places
5. The function f(x, y) =
<x. Determine P(Y>1). Round-off final answer to 4 decimal places.
xy is a joint probability density function over the range 0<x<3 and 0<y](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe27fc493-1d19-42fe-a65b-f193dd7a2b3e%2F7c715ceb-7951-44dc-92ac-c0e80b147dca%2Fg32drrr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1080
QUESTION 1
1. Assume that each of your calls to a popular radio station has a probability of 0.02 of connecting
that is, of not obtaining a busy signal. Assume that your calls are independent. What is the probability
that your first call that connects is your tenth call? Round-off final answer to 4 decimal places.
2 This exercise illustrates that poor quality can affect schedules and costs. A manufacturing process
has 100 customer orders to fill. Each order requires one component part that is purchased from a
supplier. However, typically, 2% of the components are identified as defective, and the components can
be assumed to be independent. If the manufacturer stocks 100 components, what is the probability that
the 100 orders can be filled without reordering components? Round-off final answer to 3 decimal
places
3 The volume of a shampoo filled into a container is uniformly distributed between 374 and 380
milliliters. What is the volume of shampoo that is exceeded by 95% of the containers? Round-off final
answer to 1 decimal place
4. The reaction time of a driver to visual stimulus is normally distributed with a mean of 0.4 seconds
and a standard deviation of 0.05 seconds. What is the reaction time that is exceeded 90% of the time?
Round-off final answer to 3 decimal places
5. The function f(x, y) =
<x. Determine P(Y>1). Round-off final answer to 4 decimal places.
xy is a joint probability density function over the range 0<x<3 and 0<y
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