Can someone help me with my homework? 1. A real estate agent's rate of success to make a sale among his customers is20%. In a normal workweek, he can make a sales presentation to 25 customers.Let Y be the number of customers who will make a sale.a. Identify the parameters of the problem. (Type in the notation of the correctprobability distribution.)b. Determine the expected value of sales for the week.c. Determine the variance for the sales for the week.d. Solve for the probability that exactly 10 customers will make a sale.2. Students come randomly and independently at the cashier's window at the rateof 30 students per hour during the first week of enrolment.a. Identify the probability distribution of the given problem.b. What is the probability 10 students will arrive at a 30 minute time period?c. What is the probability no student will arrive in a 5 minute period?d. What is the probability at most 2 students will arrive in a 5 minute period? (Addthe probabilities that 0, 1, and 2 students will arrive in a 5 minute period)3. A particular industrial product is shipped in lots of 20. Testing whether an itemis defective is costly; hence the manufacturer samples his production rather thanusing a 100% inspection plan. A sampling plan constructed to minimize thenumber of defectives shipped to customers calls for sampling 5 items from eachlot and rejecting the lots if more than 1 defect is observed. (If rejected, each itemin the lot is tested.) If a lot actually contains 4 defectives, what is the probabilitythat it will be rejected? 4. If we toss a biased coin that is twice as likely to come up heads as tails, fivetimes, solve for the following.a. Find the probability of observing 2 heads out of the 5 tosses.b. Determine the probability of observing at least 2 heads out of the 5 tosses.c. What is the probability of observing at most 2 heads out of the 5 tosses?5. Sixty percent of the consumers' population is reputed to prefer a particularbrand A of toothpaste. If a group of consumers are selected at random andinterviewed, what is the probability that exactly 5 people must be selected untilinterviewing the first consumer who prefers brand A?6. Based on problem 5, what is the expected number of consumers to be selecteduntil the first one who prefers brand A is interviewed?7. A pair of fair dice is tossed. What is the expected number of tosses until a sumof 7 appears for the first time?

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Answered: 1. A real estate agent's rate of…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Can someone help me with my homework?

1. A real estate agent's rate of success to make a sale among his customers is
20%. In a normal workweek, he can make a sales presentation to 25 customers.
Let Y be the number of customers who will make a sale.
a. Identify the parameters of the problem. (Type in the notation of the correct
probability distribution.)
b. Determine the expected value of sales for the week.
c. Determine the variance for the sales for the week.
d. Solve for the probability that exactly 10 customers will make a sale.
2. Students come randomly and independently at the cashier's window at the rate
of 30 students per hour during the first week of enrolment.
a. Identify the probability distribution of the given problem.
b. What is the probability 10 students will arrive at a 30 minute time period?
c. What is the probability no student will arrive in a 5 minute period?
d. What is the probability at most 2 students will arrive in a 5 minute period? (Add
the probabilities that 0, 1, and 2 students will arrive in a 5 minute period)
3. A particular industrial product is shipped in lots of 20. Testing whether an item
is defective is costly; hence the manufacturer samples his production rather than
using a 100% inspection plan. A sampling plan constructed to minimize the
number of defectives shipped to customers calls for sampling 5 items from each
lot and rejecting the lots if more than 1 defect is observed. (If rejected, each item
in the lot is tested.) If a lot actually contains 4 defectives, what is the probability
that it will be rejected?

Transcribed Image Text:4. If we toss a biased coin that is twice as likely to come up heads as tails, five times, solve for the following. a. Find the probability of observing 2 heads out of the 5 tosses. b. Determine the probability of observing at least 2 heads out of the 5 tosses. c. What is the probability of observing at most 2 heads out of the 5 tosses? 5. Sixty percent of the consumers' population is reputed to prefer a particular brand A of toothpaste. If a group of consumers are selected at random and interviewed, what is the probability that exactly 5 people must be selected until interviewing the first consumer who prefers brand A? 6. Based on problem 5, what is the expected number of consumers to be selected until the first one who prefers brand A is interviewed? 7. A pair of fair dice is tossed. What is the expected number of tosses until a sum of 7 appears for the first time?

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