You are bidding on six items available on an online shopping site. You think that for each bid you have a 25% chance of winning it, and the outcomes of the six bids are independent events. Let X denote the number of winning bids out of the six items you bid on. Find the probabilities. a. Explain why the distribution of X can be modeled by the binomial distribution. b. Find the probability that you win exactly 4 bids. c. Find the probability that you win 4 bids or fewer. d. Find the probability that you win more than 4 bids.
You are bidding on six items available on an online shopping site. You think that for each bid you have a 25% chance of winning it, and the outcomes of the six bids are independent events. Let X denote the number of winning bids out of the six items you bid on. Find the probabilities. a. Explain why the distribution of X can be modeled by the binomial distribution. b. Find the probability that you win exactly 4 bids. c. Find the probability that you win 4 bids or fewer. d. Find the probability that you win more than 4 bids.
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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You are bidding on six items available on an online shopping site.
You think that for each bid you have a 25% chance of winning it, and
the outcomes of the six bids are independent events. Let X denote
the number of winning bids out of the six items you bid on. Find the
probabilities.
a. Explain why the distribution of X can be modeled by the binomial
distribution.
b. Find the probability that you win exactly 4 bids.
c. Find the probability that you win 4 bids or fewer.
d. Find the probability that you win more than 4 bids.
R
D. There is the same probability of success for each trial (bid).
EXE
The number of bids varies.
VE
The data are binary.
XG. The trials are dependent.
H. Probabilities of success for trials (bids) differ for each trial.
b. The probability of winning exactly 4 bids is 0.0329
(Round to four decimal places as needed.)
c. The probability of winning 4 bids or fewer is.
(Round to four decimal places as needed.)
SEP
20
Clear all
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tv
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gr
Å](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7617e6a3-d280-4f44-97ed-ed73937ef3e9%2Fbc34aca9-a5fa-47c6-a18b-adc42c482181%2Fpjuux24_processed.jpeg&w=3840&q=75)
Transcribed Image Text:=
You are bidding on six items available on an online shopping site.
You think that for each bid you have a 25% chance of winning it, and
the outcomes of the six bids are independent events. Let X denote
the number of winning bids out of the six items you bid on. Find the
probabilities.
a. Explain why the distribution of X can be modeled by the binomial
distribution.
b. Find the probability that you win exactly 4 bids.
c. Find the probability that you win 4 bids or fewer.
d. Find the probability that you win more than 4 bids.
R
D. There is the same probability of success for each trial (bid).
EXE
The number of bids varies.
VE
The data are binary.
XG. The trials are dependent.
H. Probabilities of success for trials (bids) differ for each trial.
b. The probability of winning exactly 4 bids is 0.0329
(Round to four decimal places as needed.)
c. The probability of winning 4 bids or fewer is.
(Round to four decimal places as needed.)
SEP
20
Clear all
5
tv
Check answer
gr
Å
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