Materials/supplies are delivered from two different distributers into a manufacturing site. In each day there is a 30% chance of delivery from distributer A, 40% chance of delivery of distributor B and 30% chance of no delivery at all independent of any other day. We can assume that the delivery from the two distributers are also independent. Find the probability that there are 5 deliveries in one week (7 days). b. If in day 2 there was a delivery from distributer A, find the average time of receiving two more deliveries from this distributer. а. c. If in day 2 there was a delivery from distributer A, find the average time of receiving two more deliveries. d. X is the number of items delivered by distributor A before distributer B delivers 3 items. Find the PMF of X.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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Materials/supplies are delivered from two different distributers into a manufacturing site. In each
day there is a 30% chance of delivery from distributer A, 40% chance of delivery of distributor B
and 30% chance of no delivery at all independent of any other day. We can assume that the
delivery from the two distributers are also independent.
a. Find the probability that there are 5 deliveries in one week (7 days).
b. If in day 2 there was a delivery from distributer A, find the average time of receiving two
more deliveries from this distributer.
c. If in day 2 there was a delivery from distributer A, find the average time of receiving two
more deliveries.
d. X is the number of items delivered by distributor A before distributer B delivers 3 items.
Find the PMF of X.
Transcribed Image Text:Materials/supplies are delivered from two different distributers into a manufacturing site. In each day there is a 30% chance of delivery from distributer A, 40% chance of delivery of distributor B and 30% chance of no delivery at all independent of any other day. We can assume that the delivery from the two distributers are also independent. a. Find the probability that there are 5 deliveries in one week (7 days). b. If in day 2 there was a delivery from distributer A, find the average time of receiving two more deliveries from this distributer. c. If in day 2 there was a delivery from distributer A, find the average time of receiving two more deliveries. d. X is the number of items delivered by distributor A before distributer B delivers 3 items. Find the PMF of X.
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