You are bidding on six items available on an online shopping site. You think that for each bid you have a 35% 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. Explain why the distribution of X can be modeled by the binomial distribution. A. The number of bids varies. B. Probabilities of success for trials (bids) differ for each trial. C. The trials are independent. D. The trials are dependent. E. There are a fixed number of bids. The data are binary. G. The data are not binary. H. There is the same probability of success for each trial (bid). F b. The probability of winning exactly 4 bids is (Round to four decimal places as needed.) BELLES

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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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 35% 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. Explain why the distribution of X can be modeled by the binomial distribution.
A. The number of bids varies.
B. Probabilities of success for trials (bids) differ for each trial.
C. The trials are independent.
D.
The trials are dependent.
E. There are a fixed number of bids.
F. The data are binary.
G. The data are not binary.
H. There is the same probability of success for each trial (bid).
b. The probability of winning exactly 4 bids is
(Round to four decimal places as needed.)
***
Transcribed Image Text:You are bidding on six items available on an online shopping site. You think that for each bid you have a 35% 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. Explain why the distribution of X can be modeled by the binomial distribution. A. The number of bids varies. B. Probabilities of success for trials (bids) differ for each trial. C. The trials are independent. D. The trials are dependent. E. There are a fixed number of bids. F. The data are binary. G. The data are not binary. H. There is the same probability of success for each trial (bid). b. The probability of winning exactly 4 bids is (Round to four decimal places as needed.) ***
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