For each problem:a) Identify whether the best distributionto solve the problem is Binomial,Poisson, or Exponential.b) Identify the correct value of allassociated parameters.c) Find the indicated probability to 4decimal places. 6) A certain kind of light bulb lasts 1 yearon average. What is the probability thata given light bulb will fail in less thana year?7) Suppose that the expected number ofcustomers at a convenience store is 5every 20 minutes. In a given 20-minutetime period, find the probability ofhaving more than 3 customers.8) Find the probability that an investormakes a profit on 6 of her next 12investments, assuming independence and a0.6 chance of making a profit each time.

"Since you have asked multiple questions, we will solve the first question for you. If you want any…

Answered: 6) A certain kind of light bulb lasts 1…

6) A certain kind of light bulb lasts 1 year on average. What is the probability that a given light bulb will fail in less than a year?

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.CR: Chapter 13 Review

Problem 9CR

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Question

For each problem:
a) Identify whether the best distribution
to solve the problem is Binomial,
Poisson, or Exponential.
b) Identify the correct value of all
associated parameters.
c) Find the indicated probability to 4
decimal places.

6) A certain kind of light bulb lasts 1 year
on average. What is the probability that
a given light bulb will fail in less than
a year?
7) Suppose that the expected number of
customers at a convenience store is 5
every 20 minutes. In a given 20-minute
time period, find the probability of
having more than 3 customers.
8) Find the probability that an investor
makes a profit on 6 of her next 12
investments, assuming independence and a
0.6 chance of making a profit each time.

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